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AppendicesAppendixA:PhysicalConstantsPhysicalquantitySymbolValuecgsunitsSpeedoflightinvacuumc=2.
9979*1010cms1Elementarychargee=4.
8023*1010statcoulombElectronmassme=9.
1094*1028gProtonmassmp=1.
6726*1024gProton/electronmassratiomp/me=1.
8361*103GravitationalconstantG=6.
6720*108dynecm2g2BoltzmannconstantkB=1.
3807*1016ergK1Planckconstanth=6.
6261*1027ergsRydbergconstantRH=me4/4πh3c=1.
0974*105cm1Bohrradiusa0=h2/mee2=5.
2918*109cmElectronradiusre=e2/mec2=2.
8179*1013cmStefanBoltzmannconstantσ=2π5k4B/(15c2h3)=5.
6774*105ergcm2s1K41electronvoltεeV=1.
6022*1012ergTeV=1.
1604*104KλeV=1.
2398*104cmνeV=2.
4180*1014Hz1angstrm(A)=108cm1jansky(Jy)=1023ergs1cm2Hz11solaruxunit(SFU)=1019ergs1cm2Hz11astronomicalunit(AU)=1.
50*1013cmSolarradiusR=6.
96*1010cmSolarmassM=1.
99*1033gSolargravitationg=GM/R2=2.
74*104cms2Solarescapespeedv∞=6.
18*107cms1Solaraget=4.
60*109yearsSolarradiantpowerL=3.
90*1033ergs1SolarradiantuxdensityF=6.
41*1010ergcm2s1Solarconstant(uxat1AU)f=1.
39*106ergcm2Solarsolidangle(at1AU)Ω=πR2/AU2=6.
76*105sterPhotospherictemperatureTphot=5,762K348AppendicesAppendixB:PlasmaParametersPhysicalquantityDenitionNumericalformula(cgsunits)Thermalpressurepth=2nekBTe=2.
76*1016neT(dynecm2)Magneticpressurepm=B2/(8π)=3.
98*102B2(dynecm2)Plasma-βparameterβ=(pth/pm)=6.
94*1015neTeB2ThermalscaleheightλT=2kBTe/(μCmpg)=4.
73*103Te(cm)ElectronthermalvelocityvTe=(kBTe/me)1/2=3.
89*105T1/2e(cms1)IonthermalvelocityvTi=(kBTi/μmp)1/2=9.
09*103(Ti/μ)1/2(cms1)Ionmassdensityρ=nimi=niμmp=1.
67*1024μni(gcm3)SoundspeedcS=(γpth/ρ)1/2=1.
66*104(T/μ)1/2(cms1)AlfvenspeedvA=B/(4πμmpni)1/2=2.
18*1011B(μni)1/2(cms1)Electronplasmafrequencyfpe=(nee2/πme)1/2=8.
98*103n1/2e(Hz)Ionplasmafrequencyfpi=(niZ2e2/πμmp)1/2=2.
09*102Z(ni/μ)1/2(Hz)Electrongyrofrequencyfge=eB/(2πmec)=2.
80*106B(Hz)Iongyrofrequencyfgi=ZeB/(2πμmpc)=1.
52*103ZB/μ(Hz)Electroncollisionfrequencyfce=3.
64*100nelnΛT3/2e(Hz)Ioncollisionfrequencyfci=5.
98*102nilnΛZ2T3/2i(Hz)Electroncollisiontimeτce=1/fce=2.
75*101T3/2e/(nelnΛ)(s)Ioncollisiontimeτci=1/fci=1.
67*101T3/2i/(nilnΛZ2)(s)ElectrongyroradiusRe=vTe/(2πfge)=2.
21*102T1/2eB1(cm)IongyroradiusRi=vTi/(2πfgi)=9.
49*101T1/2iμ1/2Z1B1(cm)DebyelengthλD=(kBTe/4πnee2)1/2=6.
90*100T1/2n1/2e(cm)DreicereldED=ZelnΛ/λ2D=1.
01*1011ZlnΛneT1e(statvoltcm1)Electricalconductivityσ=nee2τce/me=6.
96*107ln(Λ)1Z1T3/2e(Hz)Magneticdiffusivityη=c2/(4πσ)=1.
03*1012ln(Λ)ZT3/2e(cm2s1)MagneticReynoldsnumberRm=lv/η=9.
73*1013lvT3/2lnΛ1ThermalSpitzerconductivityκ=9.
2*107(ergs1cm1K7/2)coeff.
Thermalconductivityκ=κT5/2=9.
2*107T5/2(ergs1cm1K1)RadiativelossrateΛ0(T≈1MK)=1.
2*1022(ergs1cm3)Coronalviscosityνvisc=4.
0*1013(cm2s1)cgsunits:lengthl(cm),massm(g),timet(s),TemperatureT(K),magneticeldB(G),densitiesni,ne(cm3).
Adiabaticindex:γ=cp/cv=(N+2)/N=5/3=1.
67.
Ion/protonmassratioμ=mi/mp:μ(H)=1,μ(He)=4,μ(Fe)=56.
Meanmolecularweightincorona(H:He=10:1):μC=(101+14)/11=1.
27Coronalapproximation(fullionization):ni=ne.
Coulomblogarithm:lnΛ=23ln(n1/2eT3/2e)≈20forTex)cumulativefrequencydistributionofparameterxnnumberneelectronnumberdensity(cm3)Ppeakenergydissipationrate(ergs1)Ptimeperiod(s)Pperimeter(cm)P(x)probabilitydistributionfunctionofparameterxP(ν)powerspectrumversusfrequencyνppowerlawindexofpowerspectrumP(ν)∝νpppowerlawindexofwaitingtimedistributionN(p)∝(Δt)pppressure(dynecm2)qratioqelectricchargeR,rradiusorrange(cm)RmmagneticReynoldsnumberRsolarradiusR(T)instrumentaltemperatureresponsefunctionrrate(s1)Ssurface(specifyingasurfaceintegral)SsourcefunctionSsizespathdistancealongcurve(cm)Ttimeduration(s)Ttemperature(K)Teelectrontemperature(K)ttime(s)tssaturationtime(s)Vvolume(cm3)v,vvelocity(cms1)vAAlfvenspeedWenergyreleaserate(ergs1)WSsaturationenergyrate(ergs1)Notation351wwidth(cm)xspatialcoordinateorpositionyspatialcoordinateorpositionzspatialcoordinate(alongline-of-sight)zheightdifferenceGreekSymbolsαpowerlawindexofdifferentialfrequencydistributionαApowerlawindexofareaAαPpowerlawindexofpeakenergyratePαEpowerlawindexoftotalenergyEαSpowerlawindexofsizeSαTpowerlawindexoftimedurationTαangle(deg)αcorrelationcoefcientβpowerlawindexofcumulativefrequencydistributionβcorrelationcoefcientΓgrowthrate(1/τG)γpowerlawindexofpowerspectrumγpowerlawindexofphotonspectrumγcorrelationcoefcientγdampingconstantnablaoperatorΔLaplaceoperatorΔdifferenceΔtwaitingtimebetweenevents(Δt=ti+1ti)δpowerlawindexofelectronspectrumεinnitesimallengthscaleεphotonenergyε=hν(keV)εxhardX-rayphotonenergyε=hνxηmagneticdiffusivityηenergydecayrate(ergs1)Θ(x)Heavysidestepfunctionθ,angleκdiffusionconstantΛ(T)radiativelossfunctionλwavelength(cm)λeventoccurrencerate(1/Δt)μmean(ofGaussiandistribution)νfrequency(s1=Hz)νvisccoronalviscosityρmassdensity,ρ=nmρrandomnumberσstandarddeviation(ofGaussiandistribution)σelectricalconductivityτtimescale(s)τGgrowthtimeτddecaytimeτriserisetimeΦmagneticux(Mx=Gcm2)azimuthalangleAcronyms1-D,2-D,3-Done-,two-,three-dimensionalACEAdvancedCompositionExplorerAEAuroralElectronjetindexAGNActiveGalacticNucleiBATSEBurstAndTransientSourceExperiment(onCGRO)BCSBraggCrystalSpectrometer(onYohkoh)BCSWBak–Chen–Scheinkman-Woodford(1993)modelBTWBak–Tang–Wiesenfeld(1987)modelCassiniCassiniorbiter,partoftheCassini–HuygensspaceprobeCCDChargeCoupledDevice(camera)CMECoronalMassEjectionDCDirectCurrentCCCCross-CorrelationCoefcientCEOFComplexEmpiricalOrthogonalFunctionanalysis(method)CGROComptonGammaRayObservatory(spacecraft)ClusterCluster(ESAspacemission)CVCataclysmicVariablestars(CanesVenaticitypestars)DCIMDeCIMetricburstsDEMDifferentialEmissionMeasure(distribution)DKADrift-KineticAlfvenvortexmotionsDNADeoxyriboNucleiAcidEITExtreme-ultravioletImagingTelescope(onSoHO)ETHEidgen¨ossischeTechnischeHochschule(Zurich,Switzerland)EUVExtremeUltraVioletEUVEExtremeUltraVioletExplorer(spacecraft)EUVIExtreme-UltraVioletImager(onSECCHI/STEREO)FBRFourier-BasedRecognition(method)FermiFermiGamma-raySpaceTelescope(spacecraft)FFTFastFourierTransformFWHMFullWidthHalfMaximumFSOCForcedand/orSelf-OrganizedCriticalitymodelFUVFarUltraVioletimager(onIMAGEspacecraft)GEOTAILmagnetosphericsatelliteGOESGeostationaryOrbitingEarthSatellite(spacecraft)GRANATInternationalAstrophysicalObservatory(Russianspacecraft)GRBGamma-RayBurstspectrometer(onULYSSESspacecraft)GSFCGoddardSpaceFlightCenter(NASA)Hαhydrogenline(6562.
8A)HSPHigh-SpeedPhotometer(onHSTspacecraft)HSTHubbleSpaceTelescope(spacecraft)HXRBSHardX-RayBurstSpectrometer(onSMM)HXRHardX-RaysHXTHardX-rayTelescope(onYohkoh)IBMInternationalBusinessMachinesCorporationICAIndependentComponentAnalysis(method)ICEInternationalCometaryExplorer(ISEE-3spacecraft)IMAGEImagerforMagnetopause-to-AuroraGlobalExploration(spacecraft)354AcronymsIMFInterplanetaryMagneticFieldIMPInterplanetaryMonitoringPlatform(spacecraft)ISEE-3InternationalSun/EarthExplorer3(ICEspacecraft)ITIntermittentTurbulenceJPLJetPropulsionLaboratory(Pasadena,USA)KLTKarhunen–LoeveTransform(method)LASCOLargeAngleSpectrometricCOronagraph(onSOHO)LMXBLow-MassX-rayBinarystarLMCLargeMagellanicCloud(agalaxy)MDIMichelsonDopplerImager(onSoHO)MHDMagneto-HydroDynamicsMLTMultipleLevelTracking(method)MWMicroWavesMW-SMicroWaveSpikeburstsNASANationalAeronauticsandSpaceAdministrationNGCNewGeneralCatalogue(ofnebulaeandstarclusters)NGDCNationalGeophysicalDataCenter(USA)NICMOSNearInfraredCameraandMulti-ObjectSpectrometer(onHST)NIXTNormalIncidenceX-RayTelescope(rocketinstrument)NOAANationalOceanicandAtmosphericAdministration(USA)OFCOlami–Feder–Christensen(1992)modelOSO-7OrbitingSolarObservatory7(satellite)PCAPrincipalComponentAnalysis(method)PHEBUSPayloadforHighEnergyBUrstSpectroscopy(onGRANAT)PODProperOrthogonalDecomposition(method)POLARPolarsatellitePSRPulSaRQPOQuasi-PeriodicOscillations(instellardata)Ranger-8lunarspacecraftRCLResistor(R),Capacitor(C),inductor(L)circuitRHESSIReuvenRamatyHighEnergySolarSpectroscopicImager(spacecraft)RXTERossiX-RayTimingExplorer(spacecraft)SDSSSloanDigitalSkySurvey(ground-basedtelescope)SECCHISunEarthConnectionCoronalandHeliosphericInvestigation(onSTEREO)SEPSolarEnergeticParticleeventsSGRSoftGammaRepeatersSMMSolarMaximumMission(spacecraft)SOSelf-OrganizationSOCSelf-OrganizedCriticalitySOHOSOlarandHeliosphericObservatory(spacecraft)SSCSuddenStormCommencement(magnetosphericevents)SSWSolarSoftWare(softwarepackageinIDL)STEREOSolarTErrestrialRElationsObservatory(spacecraft)SuperDARNSuperDualAuroralRadarNetworkSWAVESSTEREO/WAVESinstrument(onSTEREOspacecraft)Swiftspacecrafttoobservegamma-raybursts(NASA)SXRSoftX-RaysSXTSoftX-rayTelescope(onYohkoh)TRACETransitionRegionAndCoronalExplorer(spacecraft)UCBUniversityofCalifornia,BerkeleyUlyssesinterplanetaryspacecraftUVultravioletUVIUltraVioletImager(onboardPOLARspacecraft)VoyagerVoyager1and2(interplanetaryspacecraft)Acronyms355WATCHWideAngleTelescopeforCosmicHardX-Rays(onGRANAT)WHAMWisconsinHαMapper(ground-basedtelescope)WICWidebandImagingCamera(aFUVinstrumentonIMAGE)WINDinterplanetaryspacecraftWTDWaitingTimeDistributionXESTXMMExtendedSurveyoftheTaurusMolecularCloudXMMX-rayMulti-MirrorMisson(spacecraft),alsocalledNewtonXUVeXtremeUltraVioletImageCredit:PublicWebsitesFig.
1.
1b:http://www.
wholey.
net/HST/HST.
html,AlargewetsnowavalancheatDeadmanCanyon(JimandLouiseWholey).
Fig.
1.
2a:http://www.
vacation-rental-house.
com/house-to-rent.
html,SandbeachinnorthernCalifornia.
Fig.
1.
2b:http://indianriverenterprises.
com/6.
html,SandpileproducedbyconveyerbeltoftheIndianRiverEnterprises.
Fig.
1.
4a:satellite.
jpg,NorthAmer-icaatnight,satellitepicturetakenbyInternationalSpaceStation(ISS,NASA).
Fig.
1.
8:http://books.
google.
com/,frombookbyZehnder,J.
N.
1974,DerGoldauerBergsturz:Goldau,207p.
Fig.
4onp.
19ofbookshowsasketchofRossbergafterArth-Goldaurockslide,drawnbyFritzMorach.
withtheUltravioletImager(UVI)onboardtheNASAsatellite"Polar"(GeorgeParks,UniversityofCalifornia,Berkeley,andChingMeng,JHU/APL).
theNASAspacecraft"Voyager2"(JPL).
Fig.
1.
11b:http://www.
outer-space-art-gallery.
com/images/bergeronsaturn.
jpg,spaceartrenderingofSat-urnrings,postedatwebsiteofCosmicCafeandOuterSpaceArtGallery.
arearcadeobservedbytheNASAspacecraftTRACE(LMSAL).
theNASAspacecraftTRACE(LMSAL).
dwarfstarRSOph,Astronomypictureoftheday2006July26(DavidA.
Hardy,PPARC,andGSFC/NASA).
Eppstein).
byClaudioRocchini.
Fig.
8.
20a:http://meteorites.
wustl.
edu/lunar/craterl.
jpg,LunarcratersphotographedbyNASA'sApollo11mission,postedbyRandyL.
KorotevatwebsiteofDept.
ofEarthandPlanetarySciences,WashingtonUniversitySt.
Louis.
Fig.
8.
21a:http://www.
astrobio.
net/albums/xsolar/aci.
sized.
jpg,AsteroidErosandasteroidbelt,postedbyAstrobiologyMagazine,AmericanScientistMagazine,NASAandJohnsHopkinsUniversityAppliedPhysicsLaboratory(JHU/APL).
Fig.
8.
22:SaturnBring,photographedbyNASA'sspacecraftCassini,NASA,JPL,SpaceScienceInstitute.
postedatwebsiteofTheAustralianNationalUniversity(ANU),gurecreatedbyMatthewColless.
theNICMOSinstrumentonNASA'sHubbleSpaceTelescope(HST),gurecreditMortenAndersen,postedatwebsiteofAstrophysicalInstitutePotsdam.
renderingofblazar,NASAwebsite.
ingofmagnetar,NASA/GSFCwebsiteofSWIFTmission.
Fig.
9.
5:http://astroparticle.
uchicago.
edu/archives.
htm,UniversityofChicago,creditSimonSwordy.
Fig.
1.
1a:http://members.
virtualtourist.
com/m/5f4b4/,Water-storagedamatYaotsu,Gifu,Japan.
http://www.
sliceofsci.
com/wp-content/uploads/2008/03/usanightFig.
1.
9:http://sd-www.
jhuapl.
edu/Aurora/UVIonEarth.
html,Globalimageoftheauroraloval,observedFig.
1.
11a:http://www.
lightandmatter.
com/htmlbooks/1np/ch10/gs/saturn.
jpg,Saturnringsobservedby010415221512.
gif,solarpost-Fig.
1.
12a:http://trace.
lmsal.
com/POD/looposcillations/paperI/images/T171Fig.
1.
12b:http://trace.
lmsal.
com/POD/images/arcade9nov2000.
gif,solarpostarearcadeobservedbyFig.
1.
16:http://antwrp.
gsfc.
nasa.
gov/apod/image/0607/rsophpparcbig.
jpg,ArtisticrenderingofwhiteFig.
2.
6:http://www.
ics.
uci.
edu/eppstein/ca/,JohnConway's"GameofLife"cellularautomatons(D.
Fig.
2.
9:http://en.
wikipedia.
org/wiki/Bak–Sneppenmodel,Bak-Sneppenmodel,Wikipedia,gurecreatedhttp://en.
wikipedia.
org/wiki/Ringsof-Saturn,http://photojournal.
jpl.
nasa.
gov/catalog/PIA08955,Fig.
9.
1:http://www.
mso.
anu.
edu.
au/2dFGRS/Public/Pics/2dFzconebig.
gif,2dFgalaxyredshiftsurvey,Fig.
9.
2:http://www.
aip.
de/imagearchive/images/mandersen.
jpg,R136in30Doradus,photographedbyFig.
9.
3:http://i.
space.
com/images/hjetschematic02.
jpg,http://www.
tutorgig.
com/ed/Blackhole,ArtisticHI.
jpg,Artisticrender-Fig.
9.
4:http://www.
nasa.
gov/images/content/311187mainfermiswiftmagnetar2358ImageCredit:PublicWebsitesFig.
9.
10:http://pluto.
space.
swri.
edu/image/glossary/substorm.
jpg,SubstormcartoonfromW.
Baumjo-hannandR.
A.
Treuman,BasicSpacePlasmaPhysics,1996.
ThethreeauroralimageswereobtainedwiththeWICinstrumentonboardNASA'sIMAGEmission,postedatwebpageofSouthwestResearchInstitute.
Maion.
Fig.
10.
2b:http://www.
freemars.
org/jeff/planets/Jupiter.
jpg,JupiterphotographedbyNASA'sVoyager2mission,postedbyJeffRootatwebsiteoftheMinnesotaSpaceFrontierSociety.
Fig.
10.
2c:http://cdn.
physorg.
com/newman/gfx/news/hires/milkywaygala.
jpg,Artist'srenderingofMilkywaygalaxy,postedonwebsiteonScienceNews,Technology,Physics,Nanotechnology,SpaceSci-ence,EarthScience,MedicineofPhysorg.
com.
Fig.
10.
2d:http://www.
sciencedaily.
com/images/2007/02/070210172729.
jpg,Jupiter'smoonEuropa,photographedbyNASAandJPLGalileomission,postedatwebsiteScienceDaily:NewsandAr-ticlesinScience,Health,EnvironmentandTechnology.
Fig.
10.
5:http://sci.
esa.
int/science-e-media/img/c1/solarwind-spectrum410.
gif,Solarwindspectraoftur-bulencecascade,measuredwithESA'sClustermission,modeledwithgyro-kinetictheory(Howesetal.
2008),postedatESA/CLUSTERwebsite.
Fig.
10.
8a:http://ccl.
northwestern.
edu/netlogo/models/Percolation,PercolationcodefromNetLogoMod-elsLibrary:SampleModels/EarthScience,postedatwebsiteofCenterforConnectedLearning(CCL)andComputer-BasedModelingatNorthwesternUniversity.
Fig10.
10:http://astronomy.
swin.
edu.
au/cosmos/S/Sunspot+Cycle,Solarcyclesunspotnumber,creditNa-tionalGeophysicalDataCenter(NGDC),postedatwebsiteofSwinburneUniversityofTechnology,Australia.
Fig.
10.
2a:www.
maion.
com/photography/photos/nami1673.
jpg,SanddunesinNamibia,websiteofJefReferencesAbramenko,V.
I.
,Yurchyshyn,V.
,Wang,H.
,andGoode,P.
R.
2001,Magneticpowerspectrainthesolarphotospherederivedfromgroundandspacebasedobservations,SolarPhys.
201,225-240.
Abramenko,V.
I.
,Yurchyshyn,V.
B.
,Wang,H.
,Spirock,T.
J.
,andGoode,P.
R.
2002,ScalingBehaviorofStructureFunctionsoftheLongitudinalMagneticFieldinActiveRegionsontheSun,Astrophys.
J577,487-495.
Abramenko,V.
I.
,Yurchyshyn,V.
B.
,Wang,H.
,Spirock,T.
J.
,andGoode,P.
R.
2003,Signatureofavalancheinsolararesasmeasuredbyphotosphericmagneticelds,Astrophys.
J.
597,1135-1144.
Abramenko,V.
I.
2005,MultifractalAnalysisofSolarMagnetograms,SolarPhys.
228,29-42.
Akabane,K.
1956,Somefeaturesofsolarradioburstsataround3000Mc/s,Publ.
Astron.
Soc.
Japan8,173-181.
Aki,K.
1981,Earthquakeprediction,(ed.
D.
SimpsonandP.
Richards),AmericanGeophysicalUnion:Washington,DC,p.
566-574.
Aletti,V.
,Velli,M.
,Bocchialini,K.
,Einaudi,G.
,Georgoulis,M.
,andVial,J.
C.
2000,Microscalestruc-turesonthequietsunandcoronalheating,Astrophys.
J.
544,550-557.
Alexandrova,O.
,Saur,J.
,Lacombe,C.
,Mangeney,A.
,Mitchell,J.
,Schwartz,S.
J.
,andRobert,P.
2009,UniversalityofSolar-WindTurbulentSpectrumfromMHDtoElectronScales,Phys.
Rev.
Lett.
103,CiteID165003.
Alstrom,P.
1988,Mean-eldexponentsforself-organizedcriticalphenomena,Phys.
Rev.
Lett.
A38/9,4905-4906.
Alstrom,P.
andLeao,J.
1994,Self-organizedcriticalityintheGameofLife,Phys.
Rev.
E49,R2507.
Aly,J.
J.
andAmari,T.
1997,Currentsheetsintwo-dimensionalpotentialmagneticelds.
III.
Formationincomplextopologycongurationsandapplicationtocoronalheating,Astron.
Astrophys.
319,699-719.
Ambruster,C.
W.
,Sciortino,S.
,andGolub,L.
1987,Rapid,low-levelX-rayvariabilityinactivelate-typedwarfs,Astrophys.
J.
Suppl.
Ser.
65,273-305.
Anastasiadis,A.
andVlahos,L.
1991,ParticleAccelerationinsideagasofshockwaves,Astron.
Astro-phys.
245,271-278.
Anastasiadis,A.
andVlahos,L.
1993,Particleaccelerationbymultipleshocksatthehotspotsofextra-galacticradiosourcesAstron.
Astrophys.
275,427-432.
Anastasiadis,A.
andVlahos,L.
1994,Particleaccelerationinanevolvingactiveregionbyanensembleofshockwaves,Astrophys.
J.
428,819-826.
Anastasiadis,A.
,Vlahos,L.
,andGeorgoulis,K.
1997,ElectronaccelerationbyrandomDCelectricelds,Astrophys.
J.
489,367-374.
Anastasiadis,A.
,Gontikakis,C.
,Vilmer,N.
,andVlahos,L.
2004,Electronaccelerationandradiationinevolvingcomplexactiveregions,Astron.
Astrophys.
422,323-330.
Andersen,J.
V.
,Jensen,H.
J.
,andMouritsen,O.
G.
1991,Crossoverinthepowerspectrumofadrivendiffusivelattice-gasmodel,Phys.
Rev.
B.
44,439-442.
Andrade,R.
F.
S.
,Schellnhuber,H.
J.
,andClaussen,M.
1998,Analysisofrainfallrecords:possiblerelationtoself-organizedcriticality,PhysicaA254,3/4,557-568.
Angelopoulos,V.
,Coroniti,F.
V.
,Kennel,C.
F.
,Kivelson,M.
G.
,Walker,R.
J.
,Russell,C.
T.
,McPher-ron,R.
L.
,Sanchez,E.
,Meng,C.
I.
,Baumjohann,W.
,Reeves,G.
D.
,Belian,R.
D.
,Sato,N.
,Friis-Christensen,E.
,Sutcliffe,P.
R.
,Yumoto,K.
,Harris,T.
1996,MultipointanalysisofaburstybulkoweventonApril11,1985,J.
Geophys.
Res.
101/A3,4967-4990.
Angelopoulos,V.
,Mukai,T.
,andKokubun,S.
1999,EvidenceforintermittencyinEarth'splasmasheetandimplicationsforself-organizedcriticality,Phys.
Plasmas6/11,4161-4168.
Ansari,M.
H.
andSmolin,L.
2008,Self-organizedcriticalityinquantumgravity,ClassicalandQuantumGravity25/9,pp.
095016.
360ReferencesAntipov,S.
V.
,Nezlin,M.
V.
,Snezhkin,E.
N.
,andTrubnikov,A.
S.
1985,TheRossbyautosolitonandalaboratorymodeloftheJupiterRedSpot,ZhurnalEksperimental'noiiTeoreticheskoiFiziki89,1905-1920(inRussian).
Antonova,E.
E.
2004,MagnetostaticequilibriumandcurrentsystemsintheEarth'smagnetosphere,Adv.
SpaceRes.
33/5,752-760.
Argyle,E.
andGower,J.
F.
R.
1972,Thepulse-heightdistributionforNP0532,Astrophys.
J.
175,L89-L91.
Armstrong,J.
W.
,Rickett,B.
J.
,andSpangler,S.
R.
1995,Electrondensitypowerspectruminthelocalinterstellarmedium,Astrophys.
J.
443,209-221.
Arzner,K.
andG¨udel,M.
2004,ArecoronaeofmagneticallyactivestarsheatedbyaresIII.
Analyticaldistributionofsuperposedares,Astrophys.
J.
602,363-376.
Arzner,K.
,G¨udel,M.
,Briggs,K.
,Telleschi,A.
,andAudard,M.
2007,StatisticsofsuperimposedaresintheTaurusmolecularcloud,Astron.
Astrophys.
468,477-484.
Aschwanden,M.
J.
,Benz,A.
O.
,Dennis,B.
R.
,andKundu,M.
R.
1994,Pulsedaccelerationinsolarares,Astrophys.
J.
Suppl.
Ser.
90,631-638.
Aschwanden,M.
J.
,Benz,A.
O.
,Dennis,B.
R.
,andSchwartz,R.
A.
1995,SolarelectronbeamsdetectedinhardX-raysandradiowaves,Astrophys.
J.
455,347-365.
Aschwanden,M.
J.
,Kliem,B.
,Schwarz,U.
,Kurths,J.
,Dennis,B.
R.
andSchwartz,R.
A.
1998a,WaveletAnalysisofSolarFlareHardX-Rays,Astrophys.
J.
505,941-956.
Aschwanden,M.
J.
,Dennis,B.
R.
,andBenz,A.
O.
1998b,Logisticavalancheprocesses,elementarytimestructures,andfrequencydistributionsofares,Astrophys.
J.
497,972-993.
Aschwanden,M.
J.
,Nightingale,R.
,Tarbell,T.
,andWolfson,C.
J.
2000a,TimevariabilityofthequietSunobservedwithTRACE:I.
Instrumentaleffects,eventdetection,anddiscriminationofEUVnanoares,Astrophys.
J.
535,1027-1046.
Aschwanden,M.
J.
,Tarbell,T.
,Nightingale,R.
,Schrijver,C.
J.
,Title,A.
,Kankelborg,C.
C.
,Martens,P.
C.
H.
,andWarren,H.
P.
2000b,TimevariabilityofthequietSunobservedwithTRACE:II.
Physicalparameters,temperatureevolution,andenergeticsofEUVnanoares,Astrophys.
J.
535,1047-1065.
Aschwanden,M.
J.
andAlexander,D.
2001,Flareplasmacoolingfrom30MKdownto1MKmodeledfromYohkoh,GOES,andTRACEobservationsduringtheBastille-Dayevent(2000July14),SolarPhys.
204,91-121.
Aschwanden,M.
J.
andParnell,C.
E.
2002,Nanoarestatisticsfromrstprinciples:fractalgeometryandtemperaturesynthesis,Astrophys.
J.
572,1048-1071.
Aschwanden,M.
J.
andCharbonneauP.
2002,Effectsoftemperaturebiasonnanoarestatistics,Astro-phys.
J.
566,L59-L62.
Aschwanden,M.
J.
2004,PhysicsoftheSolarCorona.
AnIntroduction,PRAXIS,Chichester,UK,andSpringer,Berlin,842p.
Aschwanden,M.
J.
2007,Fromsolarnanoaretostellargiantares–Scalinglawsandnon-implicationsforcoronalheating,Adv.
SpaceRes.
39,1867-1875.
Aschwanden,M.
J.
,Winebarger,A.
,Tsiklauri,D.
,andPeter,H.
2007,Thecoronalheatingparadox,As-trophys.
J.
659,1673-1681.
Aschwanden,M.
J.
andAschwandenP.
D.
2008a,Solararegeometries:I.
Theareafractaldimension,Astrophys.
J.
574,530-543.
Aschwanden,M.
J.
andAschwandenP.
D.
2008b,Solararegeometries:II.
Thevolumefractaldimension,Astrophys.
J.
574,544-553.
Aschwanden,M.
J.
,Stern,R.
A.
,andG¨udel,M.
2008c,Scalinglawsofsolarandstellarares,Astrophys.
J.
672,659-673.
Aschwanden,M.
J.
2009,Imageprocessingtechniquesandfeaturerecognitioninsolarphysics,SolarPhys.
262,235-275.
Aschwanden,M.
J.
andMcTiernan,J.
M.
2010,ReconciliationofwaitingtimestatisticsofsolararesobservedinhardX-rays,AstrophysicalJ.
717,683-692.
Audard,M.
,G¨udel,M.
,andGuinan,E.
F.
1999,Implicationsfromextreme-ultravioletobservationsforcoronalheatingofactivestars,Astrophys.
J.
513,L53-L56.
Audard,M.
,G¨udel,M.
,Drake,J.
J.
,andKashyap,V.
L.
2000,Extreme-ultravioletareactivityinlate-typestars,Astrophys.
J.
541,396-409.
References361Audard,M.
,G¨udel,M.
,andSkinner,S.
L.
2003,SeparatingtheX-rayemissionsofUVCetiAandBwithChandra,Astrophys.
J.
589,983-987.
Babcock,K.
L.
andWestervelt,R.
M.
1990,Avalanchesandself-organizationincellularmagnetic-domainpatterns,Phys.
Rev.
Lett.
64/18,2168-2171.
Bai,T.
1993,VariabilityoftheoccurrencefrequencyofsolararesasafunctionofpeakhardX-rayrate,Astrophys.
J.
404,805-809.
Baiesi,M.
,Paczuski,M.
,andStella,A.
L.
2006,Intensitythresholdsandthestatisticsofthetemporaloccurrenceofsolarares,Phys.
Rev.
Lett.
96/5,051103.
Bak,P.
,Tang,C.
,andWiesenfeld,K.
1987,Self-organizedcriticality:Anexplanationof1/fnoise,PhysicalReviewLett.
59/27,381-384.
Bak,P.
,Tang,C.
,andWiesenfeld,K.
1988,Self-organizedcriticality,PhysicalRev.
A38/1,364-374.
Bak,P.
,andTang,C.
1989,Earthquakesasaself-organizedcriticalphenomena,J.
Geophys.
Res.
94/11,15,635-15,637.
Bak,P.
andChen,K.
1989,Thephysicsoffractals,PhysicaD38,5-12.
Bak,P.
,Chen,K.
andCreutz,M.
1989,Self-organizedcriticalityinthe"GameofLife",Nature342,780-781.
Bak,P.
,Chen,K.
,andTang,C.
1990,Aforest-remodelandsomethoughtsonturbulence,Phys.
LettA147/5-6,297-300.
Bak,P.
andChen,K.
1991,Self-organizedcriticality,ScienticAmerican,264,January1991issue,p.
46-53.
Bak,P.
andSneppen,K.
1993,Punctuatedequilibriumandcriticalityinasimplemodelofevolution,Phys.
Rev.
Lett.
71/24,4083-4086.
Bak,P.
,Chen,K.
,Scheinkman,J.
A.
,andWoodford,M.
A.
1993,Aggregateuctuationsfromindependentsectoralshocks:Self-organizedcriticalityinamodelofproductionandinventorydynamics,RicercheEconomichi47,3-30.
Bak,P.
andChen,K.
1995,FractalintheEarthSciences,(ed.
C.
BartonandP.
LaPointe),Plenum:NewYork,pp.
227-236.
Bak,P.
andPaczuski,M.
1995,Complexity,contingency,andcriticality,Proc.
NationalAcademyofSci-ence,USA92,6689-6696.
Bak,P.
1996,Hownatureworks,Copernicus,Springer-Verlag,NewYork.
Bak,P.
,Paczuski,M.
,anbdShubik,M.
1997,Pricevariationsinastockmarketwithmanyagents,PhysicaA246,430-453.
Bak,P.
,Christensen,K.
,Danon,L.
,andScanlon,T.
2002,Uniedscalinglawforearthquakes,Phys.
Rev.
Lett.
88/17,178,501:1-4.
Baker,D.
N.
,Klimas,A.
J.
,McPherron,R.
L.
,andBuechner,J.
1990,Theevolutionfromweaktostronggeomagneticactivity–Aninterpretationintermsofdeterministicchaos,Geophys.
Res.
Lett.
17,41-44.
Balbus,S.
A.
andHawley,J.
F.
1991,Apowerfullocalshearinstabilityinweaklymagnetizeddisks.
I.
Linearanalysis,Astrophys.
J.
376,214-233.
Balke,A.
C.
,Schrijver,C.
J.
,Zwaan,C.
,andTarbell,T.
D.
1993,Percolationtheoryandthegeometryofphotosphericmagneticuxconcentrations,SolarPhys.
143,215-227.
Barabasi,A.
L.
,Buldyrev,S.
V.
,Stanley,H.
E.
,andSuki,B.
1996,AvalanchesintheLung:astatisticalmechanicalmodel,Phys.
Rev.
Lett.
76,2192-2195.
Bargatze,L.
F.
,Baker,D.
N.
,Hones,E.
W.
,Jr.
,andMcPherron,R.
L.
1985,Magnetosphericimpulsere-sponseformanylevelsofgeomagneticactivity,J.
Geophys.
Res.
90,6387-6394.
Barnsley,M.
1988,Fractalseverywhere,AcademicPress,Inc.
,NewYork.
Bartolozzi,M.
,Leinweber,D.
B.
,andThomas,A.
W.
2005,Self-organizedcriticalityandstockmarketdynamics:anempiricalstudy,PhysicaA350,451-465.
Baryshev,Y.
andTeerikorpi,P.
2002,Discoveryofcosmicfractals,WorldScienticPublishing,Co.
Pte.
Ltd,Singapore.
Bassler,I.
E.
andPaszuski,M.
1998,Simplemodelofsuperconductingvortexavalanches,Phys.
Rev.
Lett.
81,3761-3764.
Bastian,T.
S.
andVlahos,L.
1997,Energyreleaseinthesolarcorona,LectureNotesinPhysics483,(ed.
G.
Trottet,Springer:Berlin),p.
68-92.
362ReferencesBaumann,I.
andSolanki,S.
K.
2005,OnthesizedistributionofsunspotgroupsintheGreenwichsunspotrecord1874-1976,Astron.
Astrophys.
443,1061-1066.
Baumjohann,W.
andTreuman,R.
A.
1996,BasicSpacePlasmaPhysics,ImperialCollegePress:London.
Belanger,E.
,Vincent,A.
,andCharbonneau,P.
2007,PredictingSolarFlaresbyDataAssimilationinAvalancheModels.
I.
ModelDesignandValidation,SolarPhys.
245,141-165.
Belovsky,M.
N.
,andOchelkov,Yu.
P.
1979,Somefeaturesofsolar-areelectromagneticandcorpuscularradiationproduction,IzvestiyaANSSR,Phys.
Ser.
43,749-752.
Beltrami,E.
1987,Mathematicsfordynamicmodeling,AcademicPress,Inc.
:Boston.
Benz,A.
O.
1993,Plasmaastrophysics,kineticprocessesinsolarandstellarcoronae,KluwerAcademicPublishers,Dordrecht,TheNetherlands.
Benz,A.
O.
,Krucker,S.
,Acton,L.
W.
,andBastian,T.
S.
1997,FinestructureoftheX-rayandradioemis-sionsofthequietsolarcorona,Astron.
Astrophys.
320,993-1000.
Benz,A.
O.
andKrucker,S.
2002,Energydistributionofmicroeventsinthequietsolarcorona,Astrophys.
J.
568,413-421.
Berger,M.
A.
1991,Generationofcoronalmagneticeldsbyrandomsurfacemotions.
I.
Meansquaretwistandcurrentdensity,Astron.
Astrophys.
252,369-376.
Berger,M.
A.
1993,Energy-crossingnumberrelationsforbraidedmagneticelds,Phys.
Rev.
Lett.
70/6,705-708.
Berger,M.
A.
andAsgari-Targhi,M.
2009,Self-organizedbraidingandthestructureofcoronalloops,Astrophys.
J.
705,347-355.
Berghmans,D.
,Clette,F.
,andMoses,D.
1998,QuietSunEUVtransientbrighteningsandturbulence.
ApanoramicviewbyEITonboardSOHO,Astron.
Astrophys.
336,1039-1055.
Bernardes,A.
T.
,andMoreira,J.
G.
1995,Self-organizedcriticalityinamodelforfractureonbrousma-terials,J.
PhysiqueI5/9,1135-1141.
Berrilli,F.
,DelMoro,D.
,Russo,S.
,Consolini,G.
,andStraus,Th.
2005,Spatialclusteringofphotosphericstructures,Astrophys.
J.
632,677-683.
Bevington,P.
R.
andRobinson,D.
K.
1969(20072nded.
),Datareductionanderroranalysisforthephysicalsciences,McGraw-Hill,2ndedition.
Biesecker,D.
A.
,Ryan,J.
M.
,andFishman,G.
J.
1993,AsearchforsmallsolarareswithBATSE,LectureNotesinPhysics432,225-230.
Biesecker,D.
A.
1994,OntheoccurrenceofsolararesobservedwiththeBurstandTransientSourceExperiment(BATSE),PhDThesis,UniversityofNewHampshire.
Biesecker,D.
A.
,Ryan,J.
M.
,andFishman,G.
J.
1994,ObservationsofsmallsmallsolarareswithBATSE,inHigh-EnergySolarPhenomena–ANewEraofSpacecraftMeasurements,(eds.
J.
M.
RyanandW.
T.
Vestrand),AmericanInst.
Physics:NewYork,p.
183-186.
Biesecker,D.
A.
andThompson,B.
J.
2000,SympatheticaringwithBATSE,GOES,andEITdata,J.
Atmos.
Solar-Terr.
Phys.
62/16,1449-1455.
Birkeland,K.
W.
andLandry,C.
C.
2002,Power-lawsofsnowavalanches,Geophys.
Res.
Lett.
29/11,49.
Bocchialini,K.
,andBaudin,F.
1995,Waveletanalysisofchromosphericsolaroscillations,Astron.
Astro-phys.
299,893-896.
Boffetta,G.
,Carbone,V.
,Giuliani,P.
,Veltri,P.
,andVulpiani,A.
1999,Powerlawsinsolarares:self-organizedcriticalityorturbulence,Phys.
Rev.
Lett.
83/2,4662-4665.
Bornmann,P.
L.
1990,Limitstoderivedarepropertiesusingestimatesforthebackgrounduxes:exam-plesfromGOES,Astrophys.
J.
356,733-742.
Borovsky,J.
E.
,Nemzek,R.
J.
,andBelian,R.
D.
1993,Theoccurrencerateofmagnetospheric-substormonsets:Randomandperiodicsubstorms,J.
Geophys.
Res.
98,3807-3813.
Borovsky,J.
E.
andSteinberg,J.
T.
2006,The"calmbeforethestorm"inCIR/magnetosphereinterac-tions:Occurrencestatistics,solarwindstatistis,andmagnetosphericpreconditioning,J.
Geophys.
Res.
111.
A7,CiteIDA07S10.
Bortkiewicz,L.
J.
1898,TheLawofSmallNumbers,inGermanDasGesetzderkleinenZahlen.
B¨ottcher,S.
andPaczuski,M.
1996,Exactresultsforspatiotemporalcorrelationsinaself-organizedcriticalmodelofpunctuatedequilibrium,Phys.
Rev.
Lett.
76/3,348-351.
B¨ottcher,S.
andPaczuski,M.
1997,Aginginamodelofself-organizedcriticality,Phys.
Rev.
Lett.
79/5,889-892.
References363Bovelet,B.
andWiehr,E.
2001,Anewalgorithmforpatternrecognitionanditsapplicationtogranulationandlimbfaculae,SolarPhys.
201,13-26.
Boyd,P.
T.
,Mindlin,G.
B.
,Gilmore,R.
,andSolari,H.
G.
1994,Topologicalanalysisofchaoticorbits:revisitingHyperion,Astrophys.
J.
431,425-431.
Brault,J.
W.
andWhite,O.
R.
1971,TheanalysisandrestorationofastronomicaldataviatheFastFourierTransform,Astron.
Astrophys.
13,169-189.
Bretz,M.
,Cunningham,J.
B.
,Kurczynsky,P.
L.
,andNori,E.
1992,Imagingofavalanchesingranularmaterials,Phys.
Rev.
Lett.
69,2431-2434.
Bristow,W.
2008,StatisticsofvelocityuctuationsobservedbySuperDARNundersteadyinterplanetarymagneticeldconditions,J.
Geophys.
Res.
113,CiteID:A11202.
Bromund,K.
R.
,McTiernan,J.
M.
,andKane,S.
R.
1995,StatisticalstudiesofISEE3/ICEobservationsofimpulsivehardX-raysolarares,Astrophys.
J.
,455,733-745.
Brown,J.
C.
1971,Thedeductionofenergyspectraofnon-thermalelectronsinaresfromtheobserveddynamicspectraofHardX-Raybursts,SolarPhys.
18,489-502.
Brown,S.
R.
,Scholz,C.
H.
,andRundle,J.
B.
1991,Asimpliedspring-blockmodelofearthquakes,Geo-phys.
Res.
Lett.
18,215-218.
Bruch,A.
1992,Flickeringincataclysmicvariables:itspropertiesandorigins,Astron.
Astrophys.
266,237-265.
Bruch,A.
1995,Flickeringincataclysmicvariables:inventoryandperspectives,LectureNotesinPhysics454,288-295.
Bruno,R.
,D'Amicis,R.
,Bavassano,B.
,Carbone,V.
,andSorriso-Valvo,L.
2007,Scalinglawsandco-herentstructuresinthesolarwind,Planet.
SpaceSci.
55,2233-2238.
Buchler,J.
R.
,Kollath,Z.
,Serre,T.
,andMattei,J.
1996,NonlinearanalysisofthelightcurveofthevariablestarRScuti,Astrophys.
J.
462,489-501.
Buchlin,E.
,Galtier,S.
,andVelli,M.
2005,Inuenceofthedenitionofdissipativeeventsontheirstatis-tics,Astron.
Astrophys.
436,355-362.
Buchlin,E.
,Vial,J.
C.
,andLemaire,P.
2006,AstatisticalstudyofSUMERspectralimages:events,turbu-lence,andintermittency,Astron.
Astrophys.
451,1091-1099.
Bumba,V.
andKlvana,M.
1993,Questionsconcerningtheexistenceofsympatheticaring,SolarPhys.
199,45-52.
Burlaga,L.
F.
,andLazarus,A.
J.
2000,Lognormaldistributionsandspectraofsolarwindplasmauctua-tions:Wind1995-1998.
,J.
Geophys.
Res.
105/A2,2357-2364.
BurridgeR.
andKnopoffL.
1967,Modelandtheoreticalseismicity,Seis.
Soc.
Am.
Bull.
57,341-347.
Butler,C.
J.
,Rodono,M.
,Foing,B.
H.
,andHaisch,B.
M.
1986,CoordinatedEXOSATandspectroscopicobservationsofarestarsandcoronalheating,Nature321,679-682.
Cadavid,A.
C.
,Lawrence,J.
K.
,Ruzmaikin,A.
,andKayleng-Knight,A.
1994,Multifractalmodelsofsmall-scalemagneticelds,Astrophys.
J.
429,391-399.
Cadavid,A.
C.
,Lawrence,J.
K.
,andRuzmaikin,A.
2008,PrincipalComponentsandIndependentCom-ponentAnalysisofSolarandSpaceData,SolarPhys.
248,247-261.
Cairns,I.
H.
andRobinson,P.
A.
1999,StrongEvidenceforStochasticGrowthofLangmuir-likeWavesinEarth'sForeshock,PhysicalReviewLetters82,3066-3069.
Cairns,I.
H.
2004,Propertiesandinterpretationsofgiantmicropulsesandgiantpulsesfrompulsars,As-trophys.
J.
610,948-955.
Cairns,I.
H.
,Johnston,S.
,andDas,P.
2004,IntrinsicvariabilityandeldstatisticsforpulsarsB1641-45andB0950-08,MNRAS353,270-286.
Caldarelli,G.
,DiTolla,F.
D.
,andPetri,G.
A.
1996,Self-organizationandannealeddisorderinafracturingprocess,Phys.
Rev.
Lett.
77,2503-2506.
Camazine,S.
,Deneubourg,J.
L.
,Frank,N.
R.
,Sneyd,J.
,Theraulaz,G.
,andGonabeau,E.
2001,Self-organizationinbiologicalsystems,PrincetonUniversityPress,Princeton.
Cannizzo,J.
K.
,Goodings,D.
A.
,andMattei,J.
A.
1990,Asearchforchaoticbehaviorinthelightcurvesofthreelong-termvariables,Astrophys.
J.
357,235-242.
Carbone,V.
,Roberto,B.
,Sorriso-Valvo,L.
,andLepretiF.
2004,Intermittencyofmagneticturbulenceinslowsolarwind,Planet.
SpaceSci.
52,953-956.
364ReferencesCarbone,V.
,Sorriso-Valvo,L.
,Harabaglia,P.
,andGuerra,I.
2005,Uniedscalinglawforwaitingtimesbetweenseismicevents,EurophysicsLett.
71/6,1036-1042.
Carlson,J.
M.
,andLanger,J.
S.
1989a,Mechanicalmodelofanearthquakefault,PhysicalReviewA–GeneralPhysics40,6470-6484.
Carlson,J.
M.
,andLanger,J.
S.
1989b,Propertiesofearthquakesgeneratedbyfaultdynamics,Phys.
Rev.
Lett.
62,2632-2635.
Carlson,J.
M.
,Chayes,J.
T.
,Grannan,E.
R.
,andSwindle,G.
M.
1990,Self-organizedcriticalityinsand-piles:Natureofthecriticalphenomenon,Phys.
Rev.
A42/4,2467-2470.
Carlson,J.
M.
1991a,Theintervalsbetweencharacteristicearthquakesandcorrelationswithsmallerevents:Ananalysisbasedonamechanicalmodelofafault,J.
Geophys.
Res.
96/B3,4255-4267.
Carlson,J.
M.
1991b,Two-dimensionalmodelofafault,PhysicalRev.
A44/10,6626-6232.
Carlson,J.
M.
,Langer,J.
S.
,Shaw,B.
E.
,andTang,C.
1991,IntrinsicpropertiesofaBurridge-Knopoffmodelofanearthquakefault,PhysicalRev.
A44/2,884-897.
Carlson,J.
M.
,Langer,J.
S.
,andShaw,B.
E.
1994,Dynamicsofearthquakefaults,Rev.
Mod.
Phys.
66,657-670.
Carreras,B.
A.
,Newman,D.
,Lynch,V.
E.
,andDiamond,P.
H.
,1996,Amodelrealizationofself-organizedcriticalityforplasmaconnement,Phys.
Plasmas3/8,2903-2911.
Cassak,P.
A.
,Mullan,D.
J.
,andShay,M.
A.
2008,Fromsolarandstellararestocoronalheating:Theoryandobservationsofhowmagneticreconnectionregulatescoronalconditions,Astrophys.
J.
676,L69-L72.
Castleman,K.
R.
1996,DigitalImageProcessing,PrenticeHall,UpperSaddleRiver,NewJersey.
Chae,J.
,Schuehle,U.
andLemaire,P.
1998,SUMERmeasurementsofnonthermalmotions:constraintsoncoronalheatingmechanisms,Astrophys.
J.
505,957-973.
Challet,D.
andZhang,Y.
C.
1997,Emergenceofcooperationandorganizationinanevolutionarygame,PhysicaA246/3-4,407-418.
Chamel,N.
andHaensel,P.
2008,Physicsofneutronstarcrusts,LivingReviewsinRelativity11/10,1-182.
Chan,Y.
T.
1995,Waveletbasics,KluwerAcademicPublishers,Dordrecht,TheNetherlands.
Chang,H.
K.
,Chen,K.
,Fenimore,E.
E.
,andHo,C.
1996,SpectralstudiesofmagneticphotonsplittingintheMarch5eventandSGR1806-20,AIPConf.
Proc.
384,,921-925.
Chang,S.
1988,Planetaryenvironmentandtheconditionsoflife,PhilosophicalTransactionsoftheRoyalSocietyofLondon,SeriesA,Math.
andPhys.
Sci.
325,601-610.
Chang,T.
S.
1992,Low-dimensionalbehaviorandsymmetrybreakingofstochasticsystemsnearcriticality–Cantheseeffectsbeobservedinspaceandinthelaboratory,IEEETrans.
PlasmaSci.
20/6,691-694.
Chang,T.
S.
1998a,Sporadic,Localizedreconnectionsandmnultiscaleintermittentturbulenceinthemag-netotail,inGeospaceMassandEnergyFlow(eds.
Horwitz,J.
L.
,Gallagher,D.
L.
,andPeterson,W.
K.
),AGUGeophysicalMonograph104,p.
193.
Chang,T.
S.
1998b,Multiscaleintermittentturbulenceinthemagnetotail,inProc.
4thIntern.
Conf.
onSubstorms,(eds.
Kamide,Y.
etal.
),KluwerAcademicPublishers,Dordrecht,andTerraScienticCompany,Tokyo,p.
431.
Chang,T.
S.
1999a,Self-organizedcriticality,multi-fractalspectra,andintermittentmergingofcoherentstructuresinthemagnetotail,Astrophys.
SpaceSci.
264,303-316.
Chang,T.
S.
1999b,Self-organizedcriticality,multi-fractalspectra,sporadiclocalizedreconnectionsandintermittentturbulenceinthemagnetotail,Phys.
Plasmas6/11,4137-4145.
Chang,T.
S.
,Tam,S.
W.
Y.
,Wu,C.
C.
,andConsolini,G.
2003,Complexity,forcedand/orself-organizedcriticalityandtopologicalphasetransitionsinspaceplasmas,SpaceSci.
Rev.
107,425-445.
Chapman,S.
C.
,Watkins,N.
W.
,Dendy,R.
O.
,Helander,P.
,andRowlands,G.
1998,Asimpleavalanchemodelasananalogueformagnetosphericactivity,Geophys.
Res.
Lett.
25/13,2397-2400.
Chapman,S.
C.
,Dendy,R.
O.
,andRowlands,G.
1999,Asandpilemodelwithdualscalingforlaboratory,spaceandastrophysicalplasmas,Phys.
Plasmas6/11,4169-4177.
Chapman,S.
C.
andWatkins,N.
2001,Avalanchingandself-organisedcriticality,aparadigmforgeomag-neticactivity,SpaceSci.
Rev.
95,293-307.
Chapman,S.
C.
,Watkins,N.
,andRowlands,G.
2001,Signaturesofdualscalingregimesinasimpleavalanchemodelformagnetosphericactivity,J.
Atmos.
Solar-Terr.
Phys.
63,1361-1370.
References365Chapman,S.
C.
andNicol,R.
M.
2009,Generalizedsimilarityinniterangesolarwindmagnetohydrody-namicturbulence,Phys.
Rev.
Lett.
103/24,CiteID241101.
Charbonneau,P.
,McIntosh,S.
W.
,Liu,H.
L.
,andBogdan,T.
J.
2001,Avalanchemodelsforsolarares,SolarPhys.
203,321-353.
Charbonneau,P.
2001,Multiperiodicity,Chaos,andIntermittencyinaReducedModeloftheSolarCycle,SolarPhys.
199,385-404.
Charbonneau,P.
,Blais-Laurier,G.
,andSt-Jean,C.
2004,IntermittencyandphasepersistenceinaBabcock-Leightonmodelofthesolarcycle,Astrophys.
J.
616,L183-186.
Charbonneau,P.
,Joseph,R.
,andPirot,D.
2007,Deterministically-drivenavalanchemodelsofsolarares,SolarPhys.
(subm.
).
Chatterjee,T.
N.
1999,Ontheexistenceofalow-dimensionalchaoticattractorintheshort-termsolarUVtimeseries,SolarPhys.
186,421-429.
Che,X.
andSuhl,H.
,1990,Magneticdomainpatternasself-organizingcriticalsystems,Phys.
Rev.
Lett.
64/14,1670-1673.
Chen,K.
,Bak,P.
andObukhov,S.
P.
1991,Self-organizedcriticalityinacrack-propagationmodelofearthquakes,Phys.
Rev.
A43,625-630.
Chepurnov,A.
andLazarian,A.
2010,ExtendingthebigpowerlawintheskywithturbulencespectrafromWisconsinHαmapperdata,Astrophys.
J.
710,853-858.
Chessa,A.
,Stanley,H.
E.
,Bespignani,A.
,andZapperi,S.
1999,Universalityinsandpiles,Phys.
Rev.
E59/1,R12-R15.
Chialvo,D.
R.
andBak,P.
1999,Learningfrommistakes,Neuroscience90,1137-1148.
Chian,A.
C.
,Rempel,E.
L.
,andBorotto,F.
A.
2002,NonlineardynamicsofAlfvenwavesinthesolaratmo-sphere,inMagneticCouplingoftheSolarAtmosphere,Proc.
EuroconferenceandIAUColloquium188,EuropeanSpaceAgency(ESA)SpecialPublicationSP-505,(ed.
HuguetteSawaya-Lacoste),ESTECNoordwijk,Netherlands,p.
301-304.
Chou,Y.
P.
1999,Whataffectsthepower-lawdistributionoftheX-raysolararesAtheoreticalstudybasedonamodelofuniformnormaleld,Astrophys.
J.
527,958-966.
Chou,Y.
P.
2001,TheEffectofHelicityDissipationontheCriticalStateofanAvalancheModelforSolarFlares,SolarPhys.
199,345-369.
Christe,S.
,Hannah,I.
G.
,Krucker,S.
,McTiernan,J.
,andLin,R.
P.
2008,RHESSImicroarestatistics.
I.
Flare-ndingandfrequencydistributions,Astrophys.
J.
677,1385-1394.
Christensen,K.
andOlami,Z.
1992a,VariationoftheGutenberg-Richterbvaluesandnontrivialtemporalcorrelationsinaspring-blockmodelforearthquakes,J.
Geophys.
Res.
97/B6,8729-8735.
Christensen,K.
andOlami,Z.
1992b,Scaling,phasetransitions,andnonuniversalityinaself-organizedcriticalcellular-automatonmodel,PhysicalRev.
A46/4,1829-1838.
Christensen,K.
,Olami,Z.
,andBak,P.
1992,Deterministic1/fnoiseinnonconservativemodelsofself-organizedcriticality,Phys.
Rev.
Lett.
68/16,2417-2420.
Christensen,K.
andOlami,Z.
1993,Sandpilemodelswithandwithoutanunderlyingspatialstructure,Phys.
Rev.
E48/5,3361-3372.
Christensen,K.
,Flyvbjerg,H.
,andOlami,Z.
1993,Self-organizedcriticalforest-remodel:mean-eldtheoryandsimulationresultsin1to6dimensions,Phys.
Rev.
Lett.
71/17,2737-2740.
Chumak,O.
V.
andZhang,H.
Q.
2003,Size-uxrelationinsolaractiveregions,Chin.
J.
Astron.
Astrophys.
3/2,175-182.
Ciliberto,S.
andLaroche,C.
1994,Experimentalevidenceofself-organizedcriticalityinthestick-slipdynamicsoftworoughelasticsurfaces,J.
PhysiqueI4/2,223-235.
Ciprini,S.
,Fiorucci,M.
,Tosti,G.
,andMarchili,N.
2003,TheopticalvariabilityoftheblazarGV0109+224.
Hintsofself-organizedcriticality,inHighenergyblazarastronomy,ASPConf.
Proc.
229,(eds.
L.
O.
TakaloandE.
Valtaoja),ASP:SanFrancisco,p.
265.
Clar,S.
,Drossel,B.
,andSchwabl,F.
1994,Scalinglawsandsimulationresultsfortheself-organizedcriticalforest-remodel,Phys.
Rev.
E50/2,1009-1018.
Clar,S.
,Drossel,B.
,andSchwabl,F.
1996,Reviewarticle:Forestresandotherexamplesofself-organizedcriticality,JournalofPhysics:CondensedMatter8/37,6803-6824.
Clar,S.
,Drossel,B.
,Schenk,K.
,andSchwabl,F.
1999,Self-organizedcriticalityinforest-remodels,PhysicaA266,153-159.
366ReferencesCliver,E.
,Reames,D.
,Kahler,S.
,andCane,H.
1991,Sizedistributionofsolarenergeticparticleevents,Internat.
CosmicRayConf.
22nd,Dublin,LEACA92-3680615-93,NASA:Greenbelt,p.
2:1-4.
Cognard,I.
,Shrauner,J.
A.
,Taylor,J.
H.
,andThorsett,S.
E.
1996,Giantradiopulsesfromamillisecondpulsar,Astrophys.
J.
457,L81-L84.
Colless,M.
,Dalton,G.
,Maddox,S.
,Sutherland,W.
,Norberg,P.
,Cole,S.
,Bland-Hawthorn,J.
,Bridges,T.
,etal.
2001,MNRAS328/4,1039-1063.
Collura,A,Pasquini,L.
,Schmitt,J.
H.
M.
M.
1988,TimevariabilityintheX-rayemissionofdMstarsobservedbyEXOSAT,Astron.
Astrophys.
205,197-206.
Conlon,P.
A.
,Gallagher,P.
T.
,McAteer,R.
T.
J.
,Ireland,J.
,Young,C.
A.
,Kestener,P.
,Hewett,R.
J.
,andMaguire,K.
2008,Multifractalpropertiesofevolvingactiveregions,SolarPhys.
248,297-309.
Consolini,G.
,Marcucci,M.
F.
,andCandidi,M.
1996,Multifractalstructureofauroralelectrojetdata,Phys.
Rev.
Lett.
76,4082-4085.
Consolini,G.
1997,Sandpilecellularautomataandmagnetosphericdynamics,in(Proc,CosmicPhysicsintheyear2000),(eds.
S.
Aiello,N.
Iucci,G.
Sironi,A.
Treves,andU.
Villante),SIF:Bologna,Italy,Vol.
58,123-126.
Consolini,G.
andLui,A.
T.
Y.
1999,Sign-singularityanalysisofcurrentdisruption,Geophys.
Res.
Lett.
26/12,1673-1676.
Consolini,G.
,andDeMichelis,P.
2001,Arevisedforest-recellularautomatonforthenonlineardynam-icsoftheEarth'smagnetotail,J.
Atmos.
Solar-Terr.
Phys.
63/13,1371-1377.
Consolini,G.
andChang,T.
S.
2001,Magneticeldtopologyandcriticalityingeotaildynamics:Relevancetosubstormphenomena,SpaceSci.
Rev.
95,309-321.
Consolini,G.
2002,Self-organizedcriticality:Anewparadigmforthemagnetotaildynamics,Fractals10,275-283.
Consolini,G.
,andDeMichelis,P.
2002,FractaltimestatisticsofAE-indexburstwaitingtimes:evidenceofmetastability,NonlinearProc.
Geophys.
9,419-423.
Cont,R.
andBouchard,J.
P.
2000,Herdbehaviorandaggregateuctuationsinspeculativemarkets,Macroeconom.
Dyn.
4,170-196.
Corral,A.
,Perez,C.
J.
,Diaz-Guilera,A.
andArenasA.
1995,Self-organizedcriticalityandsynchroniza-tioninalatticemodelofintegrate-and-reoscillators,Phys.
Rev.
Lett.
74,118-121.
Cote,P.
J.
andMeisel,L.
V.
1991,Self-organizedcriticalityandtheBarkhauseneffect,Phys.
Rev.
Lett.
67,1334-1337.
Cottrell,A.
H.
1996,StrainhardeninginAndradecreep,Phil.
Mag.
A.
74,375-379.
Cowie,P.
A.
,Banneste,C.
,andSornette,D.
1993,Statisticalphysicsmodelforthespatiotemporalevolu-tionoffaults,J.
Geophys.
Res.
98/B12,21809-21821.
Cox,D.
andIsham,V.
1980,PointProcesses,London:ChapmanandHall.
Craig,I.
J.
D.
andWheatland,M.
S.
2002,InterpretationofStatisticalFlareDatausingMagneticRecon-nectionModels,SolarPhys.
211,275-287.
Crosby,N.
B.
,Aschwanden,M.
J.
,andDennis,B.
R.
1993,FrequencydistributionsandcorrelationsofsolarX-rayareparameters,SolarPhys.
143,275-299.
Crosby,N.
B.
1996,Contribution`al'EtudedesPhenom`enesEruptifsduSoleilenRayonsZ`apartirdesOb-servationsdel'ExperienceWATCHsurleSatelliteGranat,PhDThesis,UniversityParisVII,Meudon,Paris,348p.
Crosby,N.
B.
,Vilmer,N.
,Lund,N.
,andSunyaev,R.
1998,Deka-keVX-rayobservationsofsolarburstswithWATCH/Granat:frequencydistributionsofburstparameters,Astrophys.
J.
334,299-313.
Crosby,N.
B.
,Georgoulis,M.
,andVilmer,N.
1999,AcomparisonbetweentheWATCHaredatastatisti-calpropertiesandpredictionsofthestatisticalaremodel,inPlasmadynamicsinthesolartransitionregionandcorona,Proc.
8thSoHOWorkshop(eds.
J.
C.
VialandB.
Kaldeich-Schuermann),EuropeanSpaceAgency(ESA)SP-446,ESTECNoordwijk,Netherlands,p.
247-250.
Crosby,N.
B.
,Meredith,N.
P.
,Coates,A.
J.
,andIles,R.
H.
A.
2005,Modellingtheouterradiationbeltasacomplexsysteminaself-organisedcriticalstate,NonlinearProcessesinGeophysics12,993-1001.
Cross,C.
A.
1966,Thesizedistributionoflunarcraters,MNRAS134,245-252.
Crow,E.
L.
andShimizu,K.
1998,LognormalDistributions:TheoryandApplications,NewYork:MarcelDekkerInc.
References367DaRocha,D.
andNottale,L.
2003,Gravitationalstructureinscalerelativity,Chaos,SolitonsandFractals16/4,565-595.
Das,T.
K.
,Tarafdar,G.
,andSen,A.
K.
1997,Validityofpowerlawforthedistributionofintensityofradiobursts,SolarPhys.
176,181-184.
Das,T.
K.
,De,B.
K.
,andBhattacharyya,J.
2004,Differentdistributionfunctionsofsolarx-rayares,Bull.
Astr.
Soc.
India32,15-23.
daSilva,L.
,Papa,A.
R.
R.
anddeSouzaA.
M.
C.
1998,Criticalityinasimplemodelforbrainfunctioning,Phys.
Lett.
A242,343-348.
Datlowe,D.
W.
,Elcan,M.
J.
,andHudson,H.
S.
1974,OSO-7observationsofsolarX-raysintheenergyrange10-100keV,SolarPhys.
39,155-174.
Daubechies,I.
1992,Tenlecturesonwavelets,Soc.
Industr.
Appl.
Math.
,Philadelphia,Vol.
61,357p.
Dauphin,C.
2007,Particleaccelerationinsolarares:linkingmagneticenergyreleasewiththeacceler-ationprocess,Astron.
Astrophys.
471,993-998.
Davidsen,J.
andGoltz,C.
2004,Areseismicwaitingtimedistributionsuniversal,Geophys.
Res.
Lett.
31/21,CiteIDL21612.
Deb,S.
andSingh,H.
P.
2009,LightcurveanalysisofvariablestarsusingFourierdecompositionandprincipalcomponentanalysis,Astron.
Astrophys.
507,1729-1737.
deBoer,J.
,Derrida,B.
,Glyvbjerg,H.
,Jackson,A.
D.
,andWettig,T.
1994,Simplemodelofself-organizedbiologicalevolution,Phys.
Rev.
Lett.
73/6,906-909.
deBoer,J.
,Jackson,A.
D.
,andWettig,T.
1995,Phys.
Rev.
E51/2,1059-1074.
Dendy,R.
O.
andHelander,P.
1997,Sandpiles,silosandtokamakphenomenology:abriefreview,PlasmaPhys.
Control.
Fusion39,1947-1961.
Dendy,R.
O.
,Helander,P.
,andTagger,M.
1998,Ontheroleofself-organisedcriticalityinaccretionsystems,Astron.
Astrophys.
337,962-965.
Dennis,B.
R.
1985,SolarhardX-raybursts,SolarPhys.
100,465-490.
Dennis,B.
R.
andZarro,D.
M.
1993,TheNeuperteffect:whatcanittellusabouttheimpulsiveandgradualphasesofsolarares,SolarPhys.
146,177-190.
deSousaVieira,M.
,Vasconcelos,G.
L.
,andNagel,S.
R.
1993,Dynamicsofspring-blockmodels:Tuningtocriticality,Phys.
Rev.
E47/4,R2221-R2224.
Dhar,D.
andRamaswamy,R.
1989,Exactlysolvedmodelofself-organizedcriticalphenomena,Phys.
Rev.
Lett.
63/16,1659-1662.
Dhar,D.
andMajumdar,S.
N.
1990,AbeliansandpilemodeloftheBethelattice,J.
PhysicsA23/19,4333-4350.
Dhar,D.
1999,TheAbeliansandpileandrelatedmodels,PhysicaA263,4-25.
Dickman,R.
,Vespignani,A.
,andZapperi,S.
1998,Self-organizedcriticalityasanabsorbing-statephasetransition,Phys.
Rev.
Lett.
57/5,5095-5105.
Diodati,P.
,Marchesoni,E.
,andPiazza,S.
1991,Acousticemissionfromvolcanicrocks:anexampleofself-organizedcriticality,Phys.
Rev.
Lett.
67,2239-2243.
Diodati,P.
,Bak,P.
,andMarchesoni,E.
2000,AcousticemissionattheStrombolivolcano:scalinglawsandseismicactivity,EarthPlanet.
Sci.
Lett.
182,253-258.
Dmitruk,P.
andGomez,D.
O.
1997,Turbulentcoronalheatingandthedistributionofnanoares,Astro-phys.
J.
484,L83-L85.
Dmitruk,P.
,Gomez,D.
O.
,andDeLuca,E.
E.
1998,Magnetohydrodynamicturbulenceofcoronalactiveregionsandthedistributionofnanoares,Astrophys.
J.
505,974-983.
Dmitruk,P.
andGomez,D.
O.
1999,Scalinglawfortheheatingofsolarcoronalloops,Astrophys.
J.
527,L63-L66.
Dmitruk,P.
,Matthaeus,W.
H.
,Seenu,N.
,andBrown,M.
R.
2003,Testparticleaccelerationinthree-dimensionalmagnetohydrodynamicturbulence,Astrophys.
J.
597,L81-L84.
Dmitruk,P.
andMatthaeus,W.
H.
2007,Low-frequency1/fuctuationsinhydrodynamicandmagnetohy-drodynamicturbulence,Phys.
Rev.
E76/3,id.
036305.
DominguezCerdena,I.
,andSanchezAlmeidaJ.
2006,ThedistributionofquietSunmagneticeldstrengthsfrom0to1800G,Astrophys.
J.
636,496-509.
Drake,J.
F.
1971,CharacteristicsofsoftsolarX-raybursts,SolarPhys.
16,152-185.
368ReferencesDrossel,B.
andSchwabl,F.
1992a,Self-organizedcriticalforest-remodel,Phys.
Rev.
Lett.
69,1629-1632.
Drossel,B.
andSchwabl,F.
1992b,Self-organizedcriticalityinaforest-remodel,PhysicaA191,47-50.
Drossel,B.
,Clar,S.
,andSchwabl,F.
1993,Exactresultsfortheone-dimensionalself-organizedcriticalforest-remodel,Phys.
Rev.
Lett.
71/23,3739-3742.
Drossel,B.
andSchwabl,F.
1995,Self-organizedcriticallimitofautocatalyticsurfacereactions,Appl.
Phys.
60,597-600.
Dulk,G.
A.
1985,Radioemissionfromthesunandstars,AnnualReviewsAstron.
Astrophys.
23,169-224.
Duncan,R.
C.
andThompson,C.
1992,Formationofverystronglymagnetizedneutronstars:implicationsforgamma-raybursts,Astrophys.
J.
392,L9-L13.
Eastwood,J.
P.
,Wheatland,M.
S.
,Hudson,H.
S.
,Krucker,S.
,Bale,S.
D.
,Maksimovic,M.
,Goetz,K.
2010,Onthebrightnessandwaiting-timedistributionsofatypeIIIradiostormobservedbySTEREO/WAVES,Astrophys.
J.
708,L95-L99.
Eggen,O.
J.
,Lynden-Bell,D.
,andSandage,A.
R.
1962,Evidencefromthemotionsofoldstarsthatthegalaxycollapsed,Astrophys.
J.
136,748-766.
Einaudi,G.
,Velli,M.
,Politano,H.
,andPouquet,A.
1996a,Energyreleaseinaturbulentcorona,Astro-phys.
J.
457,L113-L116.
Einaudi,G.
,Califano,F.
,andChiuderi,C.
1996b,Induceddepositionofmagneticenergyinthesolarcorona,Astrophys.
J.
472,853-863.
Einaudi,G.
andVelliM.
1999,Thedistributionofares,statisticsofmagnetohydrodynamicturbulenceandcoronalheating,Phys.
Plasmas6/11,4146-4153.
Feder,J.
1988,Fractals,PlenumPress:NewYork,283p.
Feder,H.
J.
S.
andFeder,J.
1991,Self-organizedcriticalityinastick-slipprocess,Phys.
Rev.
Lett.
66/20,2669-2672.
Feigenbaum,J.
A.
andFreundP.
G.
O.
1996,Discretescaleinvarianceinstockmarketsbeforecrashes,Int.
J.
Mod.
Phys.
B10/27,3737-3745.
Feigenbaum,J.
A.
2003,Financialphysics,Rep.
Prog.
Phys.
66,1611-1649.
Feldman,U.
,Doschek,G.
A.
,andKlimchuk,J.
A.
1997,TheoccurrencerateofsoftX-rayaresasafunctionofsolaractivity,Astrophys.
J.
474,511-517.
Fermi,E.
1949,Ontheoriginofthecosmicradiation,Phys.
Rev.
Lett.
75,1169-1174.
Field,S.
,Witt,J.
,Nori,F.
,andLing,X.
1995,Superconductingvortexavalanches,Phys.
Rev.
Lett.
74,1206-1209.
Fiig,T.
andJensen,H.
J.
1993,Diffusivedescriptionoflatticegasmodels,J.
Stat.
Phys.
71/3-4,653-682.
Fisher,D.
S.
,Dahmen,K.
,Ramanbatham,S.
andBen-Zion,Y.
1997,Statisticsofearthquakesinsimplemodelsofheterogeneousfaults,Phys.
Rev.
Lett.
78,4885-4888.
Fitzenreiter,R.
J.
,Fainberg,J.
,andBundy,R.
B.
1976,DirectivityoflowfrequencysolartypeIIIradiobursts,SolarPhys.
46,465-473.
Flyvbjerg,H.
,Sneppen,K.
,andBak,P.
1993,Meaneldtheoryforasimplemodelofevolution,Phys.
Rev.
Lett.
71/24,4087-4090.
Focke,W.
B.
1998,X-raytimingpropertiesofCygnusX-1andCygnusX-2,PhDThesis,UniversityofMaryland,166p.
Focke,W.
B.
,Wai,L.
L.
,andSwank,J.
H.
2005,TimedomainstudiesofX-rayshotnoiseinCygnusX-1Astrophys.
J.
633,1085-1094.
Fogedby,H.
C.
,Jensen,M.
H.
,Zhang,Y.
C.
,Bohr,T.
,Jensen,H.
J.
,andRugh,H.
H.
1991,Temporaluctu-ationsofANidealbrowniangasModernPhys.
Lett.
B5/27,1837-1842.
Fragos,T.
,Rantsiou,E.
,andVlahos,L.
2004,Onthedistributionofmagneticenergystorageinsolaractiveregions,Astron.
Astrophys.
420,719-728.
Freeman,M.
P.
,Watkins,N.
W.
,andRiley,D.
J.
2000a,Powerlawdistributionsofburstdurationandin-terburstintervalinthesolarwind:Turbulenceofdissipativeself-organizedcriticalityPhys.
Rev.
E62/6,8794-8797.
Freeman,M.
P.
,Watkins,N.
W.
,andRiley,D.
J.
2000b,EvidenceforasolarwindoriginofthepowerlawburstlifetimedistributionoftheAEindices,Geophys.
Res.
Lett.
27,1087-1090.
Freeman,M.
P.
andMorley,S.
K.
2004,Aminimalsubstormmodelthatexplainstheobservedstatisticaldistributionoftimesbetweensubstorms,Geophys.
Res.
Lett.
31,CiteIDL12807.
References369French,R.
G.
andNicholson,P.
D.
2000,Saturn'srings.
II.
Particesizesinferredfromstellaroccultationdata,Icarus145,502-523.
Frette,V.
,Christensen,K.
,Malthe-Sorenssen,A.
,Feder,J.
,Jessang,T.
,andMeakin,P.
1996,Avalanchedynamicsinapileofrice,Nature379,49-52.
Frick,P.
,Balkunas,S.
L.
,Galyagin,D.
,Sokoloff,D.
,andSoon,W.
1997,Waveletanalysisofstellarchro-mosphericactivityvariations,Astrophys.
J.
483,462-434.
Fritzova-Svestkova,L.
,Chase,R.
C.
,andSvestka,Z.
1976,Ontheoccurrenceofsympatheticares,SolarPhys.
48,275-286.
Fr¨ohlich,C.
,Andersen,B.
N.
,Appourchaux,T.
,Berthmieu,G.
,etal.
1997,FirstresultsfromVIRGO,theexperimentforhelioseismologyandsolarirradiancemonitoringonSOHO,SolarPhys.
170,1-25.
FronteraF.
,andFuligni,F.
1979,Shot-noisecharacterofhardX-rayemissioninasolarare,Astrophys.
J.
323,590-594.
Fuyii,Y.
1969,Frequencydistributionofthemagnitudeoflandslidescausedbyheavyrainfall,Seismol.
Soc.
JapanJ.
22,244-247.
Gabriel,S.
B.
andFeynman,J.
1996,Power-lawdistributionforsolarenergeticprotonevents,SolarPhys.
165,337-346.
Gabriel,S.
B.
andPatrick,G.
J.
2003,Solarandenergeticparticleevents:phenomenologyandprediction,SpaceScienceRev.
107,55-62.
Gaite,J.
2007,Scaleinvarianceofdarkmatterclustering,inFrontiersoffundamentalphysics:8thInternat.
Symp.
FFF8,AIPConf.
Proc.
905,p.
23-26.
Gallagher,P.
T.
,Phillips,K.
J.
H.
,Harra-Murnion,L.
K.
,andKeenan,F.
P.
1998,PropertiesofthequietSunEUVnetwork,Astron.
Astrophys.
335,733-745.
Galsgaard,K.
1996,Investigationsofnumericalavalanchesina3-Dvectoreld,Astron.
Astrophys.
315,312-318.
Galsgaard,K.
andNordlund,A.
,1996,.
Heatingandactivityofthesolarcorona.
I.
Boundaryshearingofaninitiallyhomogeneousmagneticeld.
J.
Geophys.
Res.
101/A6,13445-13460.
Galsgaard,K.
andNordlund,A.
,1997,Heatingandactivityofthesolarcorona.
2.
Kinkinstabilityinauxtube,J.
Geophys.
Res.
102,219-230.
Galtier,S.
,andPouquet,A.
1998,Solararestatisticswithaone-dimensionalMHDmodel,SolarPhys.
179,141-165.
Galtier,S.
,1999,Aone-dimensionalmagnetohydrodynamicmodelofsolarares:Emergenceofapopu-lationofweakevents,andapossibleroadtowardnanoares,Astrophys.
J.
521,483-489.
Galtier,S.
,2001,Statisticalstudyofshortquiescenttimesbetweensolararesina1-DMHDmodel,SolarPhys.
201,133-136.
Gardner,M.
1970,Somemathematicalcuriositiesembeddedinthesolarsystem,ScienticAmerican222/4,108-112.
Gaskell,C.
M.
2004,LognormalX-rayuxvariationsinanextremenarrow-lineSeyfert1galaxy,Astro-phys.
J.
612,L21-L24.
GeiselT.
1985,Chaosandnoise,inChaosinAstrophysics(eds.
Buchler,J.
R.
etal.
),ReidelPublishingCompany:Dordrecht,p.
165-183.
Georgoulis,M.
K.
,Kluivin,R.
andVlahos,L.
1995,Extendedinstabilitycriteriainisotropicandanisotropicenergyavalanches,PhysicaA218,191-213.
Georgoulis,M.
K.
andVlahos,L.
1996,Coronalheatingbynanoaresandthevariabilityoftheoccurrencefrequencydistributioninsolarares,Astrophys.
J.
469,L135-L138.
Georgoulis,M.
K.
andVlahos,L.
1998,Variabilityoftheoccurrencefrequencyofsolararesandthestatisticalare,Astron.
Astrophys.
336,721-734.
Georgoulis,M.
K.
,Vilmer,N.
,andCrosby,N.
B.
2001,AComparisonBetweenStatisticalPropertiesofSolarX-RayFlaresandAvalanchePredictionsinCellularAutomataStatisticalFlareModels,Astron.
Astrophys.
367,326-338.
Georgoulis,M.
K.
,Rust,D.
M.
,Bernasconi,P.
N.
,andSchmieder,B.
2002,Statistics,morphology,andenergeticsofEllermanbombs,Astrophys.
J.
575,506-528.
Gergely,T.
,andErickson,W.
C.
1975,Decameterstormradiation.
I.
SolarPhys.
42,467-486.
Gerontidou,M.
,Vassilaki,A.
,Mavromichalaki,H.
,andKurt,V.
2002,Frequencydistributionsofsolarprotonevents,J.
Atmos.
Solar-Terr.
Physics64/5-6,489-496.
370ReferencesGil,L.
andSornette,D.
1996,Landay-Ginzburgtheoryofself-organizedcriticality,Phys.
Rev.
Lett.
76/21,3991-3994.
Giuliani,P.
andCarbone,V.
1998,AnoteonshellmodelsforMHDturbulence,Europhys.
Lett.
43,527-532.
Gogus,E.
,Woods,P.
M.
,Kouveliotou,C.
,vanParadijs,J.
,Briggs,M.
S.
,Duncan,R.
C.
,andThompson,C.
1999,StatisticalpropertiesofSGR1900+14bursts,Astrophys.
J.
526,L93-L96.
Gogus,E.
,Woods,P.
M.
,Kouveliotou,C.
,andvanParadijs,J.
2000,StatisticalpropertiesofSGR1806-20bursts,Astrophys.
J.
532,L121-L124.
Goldberger,A.
L.
,Rigney,D.
R.
,andWest,B.
J.
1990,Chaosandfractalsinhumanphysiology,ScienticAmerican(February1990issue),p.
43-49.
Goldberger,A.
L.
,Amaral,L.
A.
N.
,Hausdorff,J.
M.
,Ivanov,P.
C.
,Peng,C.
K.
,andStanley,H.
E.
2002,Fractaldynamicsinphysiology:alterationswithdiseaseandaging,inSelf-organizedcomplexityinthephysical,biological,andsocialsciences,ArthurM.
SacklerColloquia,(eds.
Turcotte,D.
,Rundle,J.
,andFrauenfelder,H.
),TheNationalAcademyofSciences:WashingtonDC,p.
2466-2472.
Golitsyn,G.
S.
1997,Thespectrumofcosmicraysfromthepointofviewofsimilaritytheory,AstronomyLett.
23,127-132.
Gomez,D.
O.
,Martens,P.
C.
H.
,andGolub,L.
1993a,NormalIncidenceX-rayTelescopepowerspectraofX-rayemissionfromsolaractiveregions:I.
Observations,Astrophys.
J405,767-772.
Gomez,D.
O.
andGolub,L.
1993b,NormalIncidenceX-rayTelescopepowerspectraofX-rayemissionfromsolaractiveregions:II.
Theory,Astrophys.
J405,773-781.
Gonzalez,R.
C.
andWoods,R.
E.
2008(3rdEdition),DigitalImageProcessing,PearsonPrenticeHall,UpperSaddleRiver,NewJersey.
Gould,S.
J.
andEldredge,N.
1977,Punctuatedequilibria:Thetempoandmodeofevolutionreconsidered,Paleobiology3,115-151.
Gould,S.
J.
andEldredge,N.
1993,Punctuatedequilibriumcomesofage,Nature366,223-227.
Grassberger,P.
anddeLaTorre,A.
1979,Reggeoneldtheory(Schl¨ogl'srstmodel)onalattice:MonteCarlocalculationsofcriticalbehaviour,AnnalsofPhysics122,373-396.
Grassberger,P.
andProcaccia,I.
1983a,Characterizationofstrnageattractors,Phys.
Rev.
Lett.
50,346-349.
Grassberger,P.
andProcaccia,I.
1983b,Measuringthestrangenessofstrangeattractors,Physica9D,189-208.
Grassberger,P.
1985,Informationaspectsofstrangeattractors,inChaosinAstrophysics(eds.
Buchler,J.
R.
etal.
),ReidelPublishingCompany:Dordrecht,p.
193-222.
Grassberger,P.
1993,Onaself-organizedcriticalforest-remodel,JournalofPhysicsA:MathematicalandGeneral26/9,2081-2089.
Grassberger,P.
1994,Efcientlarge-scalesimulationsofauniformlydrivensystem,Phys.
Rev.
E49/3,2436-2444.
Grasso,J.
R.
andBachelery,P.
1995,Hierarchicalorganizationasadiagnosticapproachtovolcanome-chanics:validationonPitondelaFournaise,Geophys.
Res.
Lett.
22,2897.
Greco,A.
,Matthaeus,W.
H.
,Servidio,S.
,andDmitruk,P.
2009a,Waiting-timedistributionsofmagneticdiscontinuities:ClusteringorPoissonprocess,Phys.
Rev.
E80,CiteID046401.
Greco,A.
,Matthaeus,W.
H.
,Servidio,S.
,Chuychai,P.
,andDmitruk,P.
2009b,StatisticalanalysisofdiscontinuitiesinsolarwindACEdataandcomparisonwithintermittentMHDturbulence,Astrophys.
J.
69,L111-L114.
Greenhough,J.
,Chapman,S.
C.
,Dendy,R.
O.
,Nakariakov,V.
M.
andRowlands,G.
2003,Statisticalchar-acterisationoffull-diskEUV/XUVsolarirradianceandcorrelationwithsolaractivity,Astron.
Astro-phys.
409,L17-L20.
Grieger,B.
1992,Quaternaryclimaticuctuationsasaconsequenceofself-organizedcriticality,PhysicaA191,51-56.
Grigolini,P.
,Leddon,D.
,andScafetta,N.
2002,DiffusionentropyandwaitingtimestatisticsofhardX-raysolarares,Phys.
Rev.
E65,046203.
Grinstein,G.
,Lee,D.
H.
,andSachdev,S.
1990,Conservationlaws,anisotropy,and"self-organizedcriti-cality"innoisynonequilibriumsystems,Phys.
Rev.
Lett.
64/16,1927-1930.
References371GuckenheimerJ.
1985,Cluestostrangeattractors,inChaosinAstrophysics(eds.
Buchler,J.
R.
etal.
),ReidelPublishingCompany:Dordrecht,p.
185-191.
Gudiksen,B.
V.
,andNordlund,A.
2005a,Anabinitioapproachtothesolarcoronalheatingproblem,Astrophys.
J.
618,1020-1030.
Gudiksen,B.
V.
,andNordlund,A.
2005b,Anabinitioapproachtosolarcoronalloops,Astrophys.
J.
618,1031-1038.
G¨udel,M.
,Audard,M.
,Skinner,S.
L.
,andHorvath,M.
I.
2002,X-rayevidenceforaredensityvariationsandcontinualchromosphericevaporationinProximaCentauri,Astrophys.
J.
580,L73-L76.
G¨udel,M.
,Audard,M.
,Kashyap,V.
L.
,andGuinan,E.
F.
2003,ArecoronaeofmagneticallyactivestarsheatedbyaresII.
ExtremeUltravioletandX-rayarestatisticsandthedifferentialemissionmea-suredistribution,Astrophys.
J.
582,423-442.
G¨udel,M.
2004,X-rayastronomyofstellarcoronae,Astron.
andAstrophys.
Rev.
12,71-237.
Gutenberg,B.
andRicher,C.
F.
1954,SeismicityoftheEarthandAssociatedPhenomena,PrincetonUni-versityPress,Princeton,NJ,p.
310(2nded.
).
Hagenaar,H.
J.
,Schrijver,C.
J.
,andTitle,A.
M.
1997,Thedistributionofcellsizesofthesolarchromo-sphericnetworks,Astrophys.
J.
481,988-995.
Hagenaar,H.
J.
2001,Ephemeralregionsonasequenceoffull-diskMichelsonDopplerImager(MDI)Mag-netograms,Astrophys.
J.
555,448-461.
Hagenaar,H.
J.
,Schrijver,C.
J.
,andTitle,A.
M.
2003,ThePropertiesofSmallMagneticRegionsontheSolarSurfaceandtheImplicationsfortheSolarDynamo(s),Astrophys.
J.
584,1107-1119.
Hagenaar,H.
J.
andShine,R.
A.
2005,Movingmagneticfeaturesaroundsunspots,Astrophys.
J.
635,659-669.
Hall,M.
,Christensen,K.
,diCollobiano,S.
A.
,andJensen,H.
J.
2002,Time-dependentextinctionrateandspeciesabundanceinatangled-naturemodelofbiologicalevolution,Phys.
Rev.
E66,011904:1-9.
Hamon,D.
,Nicodemi,M.
,andJensen,H.
J.
,2002,ContinuouslydrivenOFC:Asimplemodelofsolararestatistics,Astron.
Astrophys.
387,326-334.
Harding,A.
K.
,Shinbrot,T.
,andCordes,J.
M.
1990,AchaoticattractorintimingnoisefromtheVelapulsar,Astrophys.
J.
353,588-596.
HarvardCentroid-MomentTensorDataBase1997,HarvardUniversity:Cambridge.
Harvey,K.
L.
andZwaan,C.
1993,Propertiesandemergencepatternsofbipolaractiveregions,SolarPhys.
148,85-118.
Hathaway,D.
H.
,Beck,J.
G.
,Bogart,R.
S.
,Bachmann,K.
T.
,Khatri,G.
,Petitto,J.
M.
,Han,S.
,andRay-mond,J.
2000,ThephotosphericconvectionspectrumSolarPhys.
193,299-312.
Held,G.
A.
,Solina,D.
H.
,Solina,H.
,Keane,D.
T.
,Haag,W.
J.
,Horn,P.
M.
andGrinstein,G.
1990,Experi-mentalstudyofcritical-massuctuationsinanevolvingsandpile,Phys.
Rev.
Lett.
65,1120-1123.
Henley,C.
L.
1993,Staticsofa"self-organized"percolationmodel,Phys.
Rev.
Lett.
71,2741-2744.
Henley,R.
W.
andBerger,B.
R.
2000,Self-orderingandcomplexityinepizonalmineraldeposits,Ann.
Rev.
EarthPlanet.
Sci.
28,669-719.
Hergarten,S.
andNeugebauer,H.
J.
1998,Self-organizedcriticalityinasandslidemodel,Geophys.
Res.
Lett.
25/6,801-804.
Hergarten,S.
2002,Self-organizedcriticalityinEarthsystems,Springer:NewYork,272p.
Herz,A.
V.
M.
,andHopeldJ.
J.
1995,Earthquakecyclesandneuralreverberations:collectiveoscillationsinsystemswithpulse-coupledthresholdelements,Phys.
Res.
Lett.
75,1222-1225.
Hewett,R.
J.
,Gallagher,P.
T.
,McAteer,R.
T.
J.
,Young,C.
A.
,Ireland,J.
,Conlon,P.
A.
,andMaguire,K.
2008,Multiscaleanalysisofactiveregionevolution,SolarPhys.
248,311-322.
Heyerdahl,E.
,Swanson,F.
,Berry,D.
,andAgee,K.
1994,FireHistoryDatabaseoftheWesternUnitedStates,ElectronicdataatH.
J.
AndrewsLTERdatabase(www.
fsl.
orst.
edu/lter/datafr.
htm).
Heyvaerts,J.
andPriest,E.
R.
1992,Aself-consistentturbulentmodelforsolarcoronalheating,Astrophys.
J.
390,297-308.
Higuchi,T.
1988,Approachtoanirregulartimeseriesonthebasisofthefractaltheory,PhysicaD:Nonlinearphenomena31,277-283.
Hirzberger,J.
,Vazquez,M.
,Bonet,J.
A.
,Hanslmeier,A.
,andSobotka,M.
1997,Timeseriesofsolargranulationimages.
I.
Differencesbetweensmallandlargegranulesinquietregions,Astrophys.
J.
480,406-419.
372ReferencesHiscott,R.
N.
,Colella,A.
,Pezard,P.
,Lovell,M.
A.
andMalinverno,A.
1992,inProc.
OceanDrill.
Pro-gram,Sci.
Results126,75-96.
Hnat,B.
,Chapman,S.
C.
,Kiyani,K.
,Rowlands,G.
,Watkins,N.
W.
2007,Onthefractalnatureofthemagneticeldenergydensityinthesolarwind,Geophys.
Res.
Lett.
34/15,CiteIDL15108.
Hopeld,J.
J.
1994,Neurons,dynamicsandcomputation,Phys.
Today47,40-47.
Horbury,T.
S.
andBalogh,A.
1997,StructurefunctionmeasurementsoftheintermittentMHDturbulentcascade,NonlinearProcessesinGeophysics4/3,185-199.
Horton,W.
andDoxas,I.
1996,Alow-dimensionalenergy-conservingstatespacemodelforsubstormdynamics,J.
Geophys.
Res.
101/A2,27,223-27,238.
Hoshino,M.
,Nishida,A.
,Yamamoto,T.
,andKokubrun,S.
1994,Turbulentmagneticeldinthedistantmagnetotail:bottom-upprocessofplasmoidformation,Geophys.
Res.
Lett.
21/25,2935-2938.
Hovius,N.
,Stark,C.
P.
,Allen,P.
A.
1997,Sedimentuxfromamountainbeltderivedbylandslidemapping,Geology25,231-234.
Hovius,N.
,Stark,C.
P.
,Chu,H.
T.
,andLin,J.
C.
2000,Supplyandremovalofsedimentinalandslide-dominatedmountainbelt:centralrange,Taiwan,J.
Geol.
108,73-89.
Howes,G.
G.
,Dorland,W.
,Cowley,S.
C.
,Hammett,G.
W.
,Quataert,E.
,Schekochihin,A.
A.
,andTat-suno,T.
2008,Kineticsimulationsofmagnetizedturbulenceinastrophysicalplasmas,Phys.
Rev.
Lett.
100/6,065004.
Hoyng,P.
1976,Anerroranalysisofpowerspectra,Astron.
Astrophys.
47,449-452.
Huang,J.
,Narkounskaia,G.
,andTurcotte,D.
L.
1992,Acellular-automata,slider-blockmodelforearth-quakes.
II.
Demonstrationofself-organizedcriticalityfora2-Dsystem,Geophys.
J.
Internat.
111,259-269.
Huang,J.
andTurcotte,D.
L.
1990,EvidenceforchaoticfaultinteractionsintheseismicityoftheSanAndreasfaultandNankaithrough,Nature348,234-236.
Huang,Y.
,Saleur,H.
,Sammis,C.
andSornette,D.
1998,Precursors,aftershocks,criticalityandself-organizedcriticality,Europhys.
Lett.
41,43-48.
Huberman,B.
A.
andAdamic,L.
1999,GrowthdynamicsoftheWorld-WideWeb,Nature401,131.
Hudson,H.
S.
,Peterson,L.
E.
,andSchwartz,D.
A.
1969,ThehardX-rayspectrumobservedfromthethirdorbitingsolarobservatory,Astrophys.
J.
157,389-415.
Hudson,H.
S.
,Caneld,R.
C.
,andKane,S.
R.
1978,Indirectestimationofenergydispositionbynon-thermalelectronsinsolarares,SolarPhys.
60,137-142.
Hudson,H.
S.
1991,Solarares,microares,nanoares,andcoronalheating,SolarPhys.
133,357-369.
Hudson,H.
S.
2007,Theunpredictabilityofthemostenergeticsolarevents,Astrophys.
J.
663,L45-L48.
Hufnagel,B.
R.
andBregman,J.
N.
1992,Opticalrandradiovariabilityinblazars,Astrophys.
J.
386,473-484.
Hughes,D.
W.
,Paczuski,M.
,Dendy,R.
O.
,Helander,P.
,andMcClements,K.
G.
2003,Solararesascascadesofreconnectingmagneticloops,Phys.
Rev.
Lett.
90/13,id.
131101.
Hundhausen,A.
J.
1993,Sizesandlocationsofcoronalmassejections–SMMobservationsfrom1980and1984-1989,J.
Geophys.
Res.
98/A8,13,177-13,200.
Hurst,H.
E.
1951,Long-termstoragecapacityofreservoirs,Trans.
Am.
Soc.
CivilEng.
116,770-799.
Inverarity,G.
W.
,Priest,E.
R.
,andHeyvarts,J.
1995,Turbulentcoronalheating.
I.
Shearedarcade,Astron.
Astrophys.
293,913-917.
Inverarity,G.
W.
andPriest,E.
R.
1995,Turbulentcoronalheating.
II.
Twisteduxtube,Astron.
Astrophys.
296,395-404.
Isliker,H.
1992a,Ascalingtestforcorrelationdimensions,Phys.
Lett.
A169,313-322.
Isliker,H.
1992b,Structuralpropertiesofthedynamicsinarefragmentation,SolarPhys.
141,325-334.
Isliker,H.
andKurths,J.
1993,Atestforstationarity:ndingpartsintimeseriesaptforcorrelationdimensionestimates,Internat.
J.
Bifurc.
Chaos3/6,1573-1579.
Isliker,H.
andBenz,A.
O.
1994a,Nonlinearpropertiesofthedynamicsofburstsandaresinsolarandstellarcoronae,Astron.
Astrophys.
285,663-674.
Isliker,H.
andBenz,A.
O.
1994b,Ondeterministicchaos,stationarity,periodicityandintermittencyincoronalburstsandaresSpaceScienceRev.
68,185-192.
Isliker,H.
1994,Dynamicalpropertiesofburstsandares:Aninquiryondeterministicchaosinthesolarandstellarcoronae,PhDThesis,ETHZurich,No.
10495,234p.
References373Isliker,H.
1996,AresolararesrandomprocessesAstron.
Astrophys.
310,672-680.
Isliker,H.
,Anastasiadis,A.
,Vassiliadis,D.
,andVlahos,L.
1998a,Solararecellularautomatainter-pretedasdiscretizedMHDequations,Astron.
Astrophys.
335,1085-1092.
Isliker,H.
,Vlahos,L.
,Benz,A.
O.
,andRaoult,A.
1998b,AstochasticmodelforsolartypeIIIbursts,Astron.
Astrophys.
336,371-380.
Isliker,H.
,Anastasiadis,A.
,andVlahos,L.
2000,MHDconsistentcellularautomata(CA)models:I.
BasicFeatures,Astron.
Astrophys.
363,1134-1144.
Isliker,H.
,Anastasiadis,A.
,andVlahos,L.
2001,MHDconsistentcellularautomata(CA)models:II.
Applicationstosolarares,Astron.
Astrophys.
377,1068-1080.
Isliker,H.
andBenz,A.
O.
2001,Onthereliabilityofpeak-uxdistributions,withanapplicationtosolarares,Astron.
Astrophys.
375,1040-1048.
Ito,K.
andMatsuzaki,M.
1990,Earthquakesasself-organizedcriticalphenomena,J.
Geophys.
Res.
95,6854-6860.
Ivezic,Z.
,Tabachnik,S.
,Rakov,R.
,Lupton,R.
H.
,Quinn,T.
,Hammergren,M.
,Eyer,L.
,Chu,J.
,Arm-strong,J.
C.
,Fan,X.
,Finlator,K.
,Geballe,T.
R.
,Gunn,J.
E.
,Hennessy,G.
S.
,Knapp,G.
R.
,etal.
(SDSSCollaboration)2001,SolarsystemobjectsobservedintheSloanDigitalSkySurveyCommissioningData,AstronomicalJ.
122,2749-2784.
Jackson,E.
A.
1989,Perspectivesofnonlineardynamics,CambridgeUniversityPress:Cambridge.
Jaeger,H.
M.
,Liu,C.
H.
,andNagel,S.
R.
1989,Relaxationattheangleofrepose,Phys.
Rev.
Lett.
62/1,40-43.
J¨ahne,B.
2005:(6thedition),DigitalImageProcessing,Springer,Berlin,607p.
Jain,A.
K.
1989,FundamentalsofDigitalImageProcessing,PrenticeHall,EnglewoodCliffs,569p.
Janssen,K.
,Voegler,A.
,andKneer,F.
2003,Onthefractaldimensionofsmall-scalemagneticstructuresintheSun,Astron.
Astrophys.
409,1127-1134.
Jaynes,E.
T.
2003,ProbabilityTheory:TheLogicofScience,CambridgeUniversityPress:Cambridge,758p.
Jedicke,R.
andMetcalfe,T.
S.
1998,Theorbitalandabsolutemagnitudedistributionsofmainbeltaster-oids,Icarus131/2,245-260.
Jensen,H.
J.
1990,1/fnoisefromthelineardiffusionequation,PhysicaScripta43,593.
Jensen,H.
J.
1998,Self-OrganizedCriticality.
Emergentcomplexbehaviorinphysicalandbiologicalsys-tems,CambridgeUniversityPress,CambridgeUK,153p.
Jess,D.
B.
,Andic,A.
,Mathioudakis,M.
,Bloomeld,D.
S.
,andKeenan,F.
P.
2007,High-frequencyoscil-lationsinasolaractiveregionobservedwiththeRAPIDDUALIMAGER,Astron.
Astrophys.
473,943-950.
Jogi,P.
andSornette,D.
1998,Self-organizedcriticalrandomdirectedpolymers,Phys.
Rev.
E57,6936-6943.
Johansen,A.
1994,Spatio-temporalself-organizationinamodelofdiseasespreading,PhysicaD78,186-193.
Johnston,A.
C.
andKanter,L.
R.
1990,Earthquakesinstablecontinentalcrust,ScienticAmerican(March1990issue),p.
68-75.
Juergens,H.
,Peitgen,H.
O.
,andSaupe,D.
1990,Thelanguageoffractals,ScienticAmerican(Aug1990issue),p.
60-67.
Kaiser,G.
1994,Afriendlyguidetowavelets,Birkh¨auser:Boston,325p.
Kakinuma,T.
,Yamashita,T.
,andEnome,S.
1969,Astatisticalstudyofsolarradioburstsamicrowavefrequencies,Proc.
Res.
Inst.
Atmos.
NagoyaUniv.
Japan,Vol.
16,127-141.
Kaladze,T.
D.
andShukla,P.
K.
1987,Self-organizationofelectromagneticwavesintovorticesinamag-netizedelectron-positronplasma,Astrophys.
SpaceSci.
137,p.
293-296.
Kalapotharakos,C.
,Voglis,N.
,andContopoulos,G.
2004,ChaosandsecularevolutionoftriaxialN-bodygalacticmodelsduetoanimposedcentralmass,Astron.
Astrophys.
428,905-923.
Karlicky,M.
,Sobotka,M.
,andJiricka,K.
1996,Narrowbanddm-spikesinthe2GHzfrequencyrangeandMHDcascadingwavesinreconnectionoutows,SolarPhys.
168,375-383.
Karlicky,M.
,Jiricka,K.
,andSobotka,M.
2000,Power-lawspectraof1-2GHznarrowbanddm-spikes,SolarPhys.
195,165-174.
Kashyap,V.
L.
andDrake,J.
J.
1999,OnX-rayvariabilityinactivebinarystars,Astrophys.
J.
524,988-999.
374ReferencesKashyap,V.
L.
,Drake,J.
J.
,G¨udel,M.
,andAudard,M.
2002,Flareheatinginstellarcoronae,Astrophys.
J.
580,1118-1132.
Kasischke,E.
S.
andFrench,N.
H.
F.
1995,RemoteSens.
Environ.
51,263-275.
Kato,T.
,Ishioka,R.
,andUemura,M.
2002,PhotometricstudyofKRAurigaeduringthehighstatein2001,Publ.
Astron.
Soc.
Japan54,1033-1039.
Katsukawa,Y.
andTsuneta,S.
2001,SmalluctuationofcoronalX-rayintensityandasignatureofnanoares,Astrophys.
J.
557,343-350.
Katz,J.
I.
1986,Amodelofpropagatingbrittlefailureinheterogeneousmedia,J.
Geophys.
Res.
91/B10,10412-10420.
Kawasaki,K.
andOkuzono,T.
1996,Self-organizedcriticalbehavioroftwo-dimensionalfoams,Fractals4,339-348.
Kennel,C.
F.
1995,ConvectionandSubstorms,OxfordUniversityPress;NewYork,408p.
Kishimoto,Y.
,Tajima,T.
,Horton,W.
,LeBrun,M.
J.
,andKim,J.
Y.
1996,Theoryofself-organizedcriticaltransportintokamakplasmas,Phys.
Plasmas3,1289-1307.
Klimas,A.
J.
,Baker,D.
N.
,Roberts,D.
A.
,Faireld,D.
H.
,andBuechner,J.
1992,Anonlineardynamicalanaloguemodelofgeomagneticactivity,J.
Geophys.
Res.
97/A8,12,353-12,266.
Klimas,A.
J.
,Valdivia,J.
A.
,Vassiliadis,D.
,Baker,D.
N.
,Hesse,M.
,andTakalo,J.
2000,Self-organizedcriticalityinthesubstormphenomenonanditsrelationtolocalizedreconnectioninthemagnetosphereplasmasheet,J.
Geophys.
Res.
105/A8,18,765-18,780.
Klimas,A.
J.
,Uritsky,V.
M.
,Vassiliadis,D.
,andBaker,D.
N.
2004,Reconnectionandscale-freeavalanch-inginadrivencurrent-sheetmodel,J.
Geophys.
Res.
109/A2,CiteIDA02218.
Kolmogorov,A.
N.
1941,ThelocalstructureofturbulenceinincompressibleviscousuidforverylargeReynolds'number,Dokl.
Acad.
NaukSSSR30,301-305.
Kopnin,S.
I.
,Kosarev,I.
N.
,Popel,S.
I.
,andHyu,M.
Y.
2004,LocalizedstructuresofnanosizechargeddustinEarth'smiddleatmosphere,Planet.
SpaceSci.
52/13,1187-1194.
Kouveliotou,C.
,Dieters,S.
,Strohmayer,T.
,vanParadijs,J.
,Fishman,G.
J.
,Meegan,C.
A.
,Hurley,K.
,Kommers,J.
,Smith,I.
,Frail,D.
,Muakami,T.
1998,AnX-raypulsarwithasuperstrongmagneticeldinthesoftγ-rayrepeaterSGR1806-20,Nature393,235-237.
Kouveliotou,C.
,Strohmayer,T.
,Hurley,K.
,vanParadijs,J.
,Finger,M.
H.
,Dieters,S.
,Woods,P.
,Thom-son,C.
,andDuncan,R.
C.
1999,DiscoveryofamagnetarassociatedwiththesoftgammarayrepeaterSGR1900+14,Astrophys.
J.
510,L115-L118.
Kovacs,P.
,Carbone,V.
,andVoros,Z.
2001,Wavelet-basedlteringofintermittenteventsfromgeomag-netictimeseries,PlanetaryandSpaceScience49/12,1219-1231.
Kozelov,B.
V.
,Uritsky,V.
M.
,andKlimas,A.
J.
2004,Powerlawprobabilitydistributionsofmultiscaleauroraldynamicsfromground-basedTVobservations,Geophys.
Res.
Lett.
31/20,CiteIDL20804.
Krasnoselskikh,V.
V.
,Podladchikova,O.
,Lefebvre,B.
,andVilmer,N.
2002,QuietSuncoronalheating:Astatisticalmodel,Astron.
Astrophys.
382,699-712.
Kremliovsky,M.
N.
1994,Canweunderstandtimescalesofsolaractivity,SolarPhys.
151,351-370.
Krucker,S.
andBenz,A.
O.
1998,Energydistributionofheatingprocessesinthequietsolarcorona,Astrophys.
J.
501,L213-L216.
Kucera,T.
A.
,Dennis,B.
R.
,Schwartz,R.
A.
,andShaw,D.
1997,Evidenceforacutoffinthefrequencydistributionofsolararesfromsmallactiveregions,Astrophys.
J.
475,388-347.
Kuijpers,J.
1995,Flaresinaccretiondisks,LectureNotesinPhysics444,135-158.
Kundu,M.
R.
1965,Solarradioastronomy,IntersciencePublication:NewYork,660p.
Kurths,J.
andHerzel,H.
1986,Canasolarpulsationeventbecharacterizedbyalow-dimensionalchaoticattractor,SolarPhys.
107,39-45.
Kurths,J.
1987,Estimatingparametersofattractorsinsomeastrophysicaltimeseries,inNonlinearOs-cillations,Proc.
11thInternat.
Conf.
(ed.
M.
Farkas),p.
664-667.
Kurths,J.
andHerzel,H.
1987,Anattractorinasolartimeseries,Physica25D,165-172.
Kurths,J.
andKarlicky,M.
1989,Theroutetochaosduringapulsationevent,SolarPhys.
119,399-411.
Kurths,J.
,Benz,A.
O.
,andAschwanden,M.
J.
1990,Theattractordimensionofsolardecimetricra-diopulsations,inTheDynamicSun,Proc.
6thEuropeanMeetingonSolarPhysics,(ed.
L.
Dezso),PublicationsofDebrecenHeliophysicalObservatoryoftheHungarianAcademyofSciences,Vol.
7,p.
196-199.
References375Kurths,J.
,Benz,A.
O.
,andAschwanden,M.
J.
1991,Theattractordimensionofsolardecimetricradiopulsations,Astron.
Astrophys.
248,270-276.
Kurths,J.
andBrandenburg,A.
1991,Lyapunovexponentsforhydrodynamicconvection,Phys.
Rev.
A.
44/6,3427-3429.
Kurths,J.
andSchwarz,U.
1994,Chaostheoryandradioemission,SpaceScienceRev.
68,171-184.
Kurths,J.
andSchwarz,U.
1995,Onnonlinearsignalprocessing,inClusterWorkshoponDataAnalysisToolsandPhysicalMeasurementsandMission-OrientedTheory(eds.
Glassmeier,K.
H.
,Motschmann,U.
,andSchmidt,R.
),EuropeanSpaceAgency(ESA)SP-371,ESTECNoordwijk,Netherlands,p.
15-22.
Kurths,J.
,Schwarz,U.
andWitt,A.
1995,Nonlineardataanalysisandstatisticaltechniques,LectureNotesinPhysics(Springer:Berlin)444,159-172.
Lawrence,A.
,Watson,M.
G.
,Pounds,K.
A.
,andElvis,M.
1987,Low-frequencydivergentX-rayvariabilityintheSeyfertgalaxyNGC4501,Nature325,694-696.
Lawrence,J.
K.
1991,Diffusionofmagneticuxelementsonafractalgeometry,SolarPhys.
135,249-259.
Lawrence,J.
K.
andSchrijver,C.
J.
1993,Anomalousdiffusionofmagneticelementsacrossthesolarsur-face,Astrophys.
J.
411,402-405.
Lawrence,J.
K.
,Ruzmaikin,A.
,andCadavid,A.
C.
1993,Multifractalmeasureofthesolarmagneticeld,Astrophys.
J.
417,805-811.
Lawrence,J.
K.
,Cadavid,A.
C.
,andRuzmaikin,A.
1995,Turbulentandchaoticdynamicsunderlyingsolarmagneticvariability,Astrophys.
J.
455,366-375.
Lawrence,J.
K.
,Cadavid,A.
,andRuzmaikin,A.
1996,Onthemultifractaldistributionofsolarelds,Astrophys.
J.
465,425-435.
Lawrence,J.
K.
,Cadavid,A.
,andRuzmaikin,A.
2005,PrincipalcomponentanalysisofthesolarmagneticeldI:Theaxisymmetriceldatthephotosphere,SolarPhys.
225,1-19.
Lee,T.
T.
,Petrosian,V.
,andMcTiernan,J.
M.
1993,Thedistributionofareparametersandimplicationsforcoronalheating,Astrophys.
J.
412,401-409.
Lee,T.
T.
,Petrosian,V.
,andMcTiernan,J.
M.
1995,TheNeuperteffectandthechromosphericevaporationmodelforsolarares,Astrophys.
J.
418,915-924.
Lee,J.
W.
,Chae,J.
C.
,Yun,H.
S.
,andZirin,H.
1997,Powerspectraofsolarnetworkandnon-networkelds,SolarPhys.
171,269-282.
Leighly,K.
M.
andO'Brien,P.
T.
1997,EvidencefornonlinearX-rayvariabilityfromthebroad-lineradiogalaxy3C390.
3,Astrophys.
J.
481,L15-L18.
Lepreti,F.
,Fanello,P.
C.
,Zaccaro,F.
,andCarbone,V.
2000,Persistenceofsolaractivityonsmallscales:HurstanalysisoftimeseriescomingfromHαares,SolarPhys.
197,149-156.
Lepreti,F.
,Carbone,V.
,andVeltri,P.
2001,Solararewaitingtimedistribution:varying-ratePoissonorLevyfunction,Astrophys.
J.
555,L133-L136.
Lepreti,F.
,Carbone,V.
,Giuliani,P.
,Sorriso-Valvo,L.
,andVeltri,P.
2004,Statisticalpropertiesofdis-sipationburstswithinturbulence:solararesandgeomagneticactivity,Planet.
SpaceScience52,957-962.
Letellier,C.
,Aguirre,L.
A.
,Maquet,J.
,andGilmore,R.
2006,Evidenceforlowdimensionalchaosinsunspotcycles,Astron.
Astrophys.
449,379-388.
Levy,J.
S.
1983,WarintheModernGreatPowerSystem1495-1975,(Lexington,KY:UniversityofKen-tuckyPress),p.
215.
Li,T.
P.
andMuraki,Y.
2002,PowerspectraofX-raybinaries,Astrophys.
J.
578,374-384.
Lin,R.
P.
,Schwartz,R.
A.
,Kane,S.
R.
,Pelling,R.
M.
,andHurley,K.
C.
1984,SolarhardX-raymicroares,Astrophys.
J.
283,421-425.
Lin,R.
P.
,Feffer,P.
T.
,andSchwartz,R.
A.
2001,SolarhardX-rayburstsandelectronaccelerationdownto8keV,Astrophys.
J.
557,L125-L128.
Lise,S.
andJensen,H.
J.
1996,Transitionsinnonconservingmodelsofself-organizedcriticality,Phys.
Rev.
Lett.
76/13,2326-2329.
Litvinenko,Y.
E.
1994,Anexplanationforthearefrequencyenergydependence,SolarPhys.
151,195-198.
Litvinenko,Y.
E.
1996,Anewmodelforthedistributionofareenergies,SolarPhys.
167,321-331.
376ReferencesLitvinenko,Y.
E.
1998a,Analyticalresultsincellularautomatonmodelofsolarareoccurrence,Astron.
Astrophys.
339,L57-L60.
Litvinenko,Y.
E.
1998b,Dimensionalanalysisofthearedistributionproblem,SolarPhys.
180,393-396.
Litvinenko,Y.
E.
andWheatland,M.
S.
2001,Modelingtherateofoccurrenceofsolarares,Astrophys.
J.
550,L109-L112.
Liu,H.
,Charbonneau,P.
,Pouquet,A.
,Bogdan,T.
,andMcIntosh,S.
W.
2002,Continuumanalysisofanavalanchemodelforsolarares,Phys.
Rev.
E66,056111.
Liu,W.
W.
,Charbonneau,P.
,Thibault,K.
,andMorales,L.
2006,Energyavalanchesinthecentralplasmasheet,Geophys.
Res.
Lett.
33/19,CiteIDL19106.
Longcope,D.
W.
andSudan,R.
N.
1994,Evolutionandstatisticsofcurrentsheetsincoronalmagneticloops,Astrophys.
J.
437,491-504.
Longcope,D.
W.
andNoonan,E.
J.
2000,Self-organizedcriticalityfromseparatorreconnectioninsolarares,Astrophys.
J.
542,1088-1099.
Lorenz,E.
N.
1963,Deterministicnonperiodicow,J.
Atmos.
Sci.
20/2,130-148.
Loreto,V.
,Pietronero,L.
,Vespignani,A.
,andZapperi,S.
1995,Renormalizationgroupapproachtothecriticalbehavioroftheforest-remodel,Phys.
Rev.
Lett.
75/3,465-468.
Lu,E.
T.
andHamilton,R.
J.
1991,Avalanchesandthedistributionofsolarares,Astrophys.
J.
380,L89-L92.
Lu,E.
T.
,Hamilton,R.
J.
,McTiernan,J.
M.
,andBromund,K.
R.
1993,Solararesandavalanchesindrivendissipativesystems,Astrophys.
J.
412,841-852.
Lu,E.
T.
1995a,Thestatisticalphysicsofsolaractiveregionsandthefundamentalnatureofsolarares,Astrophys.
J.
446,L109-L112.
Lu,E.
T.
1995b,Constraintsonenergystorageandreleasemodelsforastrophysicaltransientsandsolarares,Astrophys.
J.
447,416-418.
Lu,E.
T.
1995c,Avalanchesincontinuumdrivendissipativesystems,Phys.
Rev.
Lett.
74/13,2511-2514.
Lui,A.
T.
Y.
1996,CurrentdisruptionintheEarth'smagnetosphere:Observationsandmodels,J.
Geophys.
Res.
101,13067-13088.
Lui,A.
T.
Y.
1998,Plasmasheetbehaviorassociatedwithauroralbreakups,inProc.
4thIntern.
Conf.
onSubstorms(ed.
KamideY.
),KluwerAcademicPublishers,Dordrecht,andTerraScienticPublishingCompany,Tokyo,p.
183.
Lui,A.
T.
Y.
,Lopez,R.
E.
,Krimigis,S.
M.
,McEntire,R.
W.
,Zanetti,L.
J.
,andPotemra,T.
A.
1988,Acasestudyofmagnetotailcurrentsheetdisruptionanddiversion,Geophys.
Res.
Lett.
15,721-724.
Lui,A.
T.
Y.
,Chapman,S.
C.
,Liou,K.
,Newell,P.
T.
,Meng,C.
I.
,Brittnacher,M.
,andParks,G.
K.
2000,Isthedynamicmagnetosphereanavalanchingsystem,Geophys.
Res.
Lett.
27/7,911-914.
Lundgren,S.
C.
,Cordes,J.
M.
,Ulmer,M.
,Matz,S.
M.
,Lomatch,S.
,Foster,R.
S.
,andHankins,T.
1995,GiantpulsesfromtheCrabpulsar:Ajointradioandgamma-raystudy,Astrophys.
J.
453,433-445.
Macek,W.
M.
andSzczepaniak,A.
2008,Generalizedtwo-scaleweightedCantorsetmodelforsolarwindturbulence,Geophys.
Res.
Lett.
35/2,CiteIDL02108.
Macek,W.
M.
andWawrzaszek,A.
2009,Evolutionofasymmetricmultifractalscalingofsolarwindtur-bulenceintheouterheliosphere,J.
Geophys.
Res.
(SpacePhysics)114/A4,CiteIDA03108.
MacKinnon,A.
L.
,MacPherson,K.
P.
,andVlahos,L.
1996,Cellularautomatonmodelsofsolarareoccurrence,Astron.
Astrophys.
310,L9-L12.
MacKinnon,A.
L.
andMacPherson,K.
P.
1997,Nonlocalcommunicationinself-organizingmodelsofsolarareoccurrence,Astron.
Astrophys.
326,1228-1234.
Macpherson,K.
P.
andMacKinnon,A.
L.
1999,Extendedcellularautomatonmodelsofsolarareoccur-rence,Astron.
Astrophys.
350,1040-1050.
Majumdar,S.
N.
,andDhar,D.
1991,HeightcorrelationsintheAbeliansandpilemodel,J.
PhysicsA24/7,L357-L362.
Majumdar,S.
N.
,andDhar,D.
1992,EquivalencebetweentheAbeliansandpilemodelandtheq→0limitofthePottsmodel,PhysicaA185,129-145.
Makishima,K.
1988,inPhysicsofNeutronStarsandBlackHoles,(ed.
Y.
Tanaka),Tokyo:UniversalAcademyPress,p.
175.
Malamud,B.
D.
,Morein,G.
,andTurcotteD.
L.
1998,Forestres:Anexampleofself-organizedcriticalbehavior,Science281,1840-1842.
References377Malamud,B.
D.
,Guzzetti,F.
,Turcotte,D.
L.
,andReichenbach,P.
2001,Power-lawcorrelationsofItalianlandslideareas,AmericanGeophysicalUnion,FallMeeting2001,abstract#NG52A-10.
Malkov,M.
A.
,Diamond,P.
H.
,andV¨olk,H.
J.
2000,Criticalself-organizationofastrophysicalshocks,Astrophys.
J.
533,L171-L174.
Mallat,S.
G.
1989,Atheoryformultiresolutionsignaldecomposition:thewaveletrepresentation,IEEETrans.
PatternAnal.
MachineIntelligence(ITPAM),11,674-693.
Mallat,S.
2008(3rdEdition),AWaveletTourofSignalProcessing,TheSparseWay,AcademicPress:NewYork,663p.
Mandelbrot,B.
B.
1963,Thevariationofcertainspeculativeprices,JournalofBusinessoftheUniversityofChicago36/4,394-419.
Mandelbrot,B.
B.
1977,Fractals:form,chance,anddimension,TranslationofLesobjectsfractals,W.
H.
Freeman,SanFrancisco.
Mandelbrot,B.
B.
1983,Thefractalgeometryofnature,W.
H.
Freeman,SanFrancisco.
Mandelbrot,B.
B.
1985,Self-afnefractalsandfractaldimension,PhysicaScripta32,257-260.
Manna,S.
S.
1991a,Criticalexponentsandthesandpilemodelsintwodimensions,PhysicaA179/2,249-268.
Manna,S.
S.
1991b,Two-statemodelofself-organizedcriticality,J.
PhysicsA,24/7,L363-L369.
Mantegna,R.
N.
andStanley,H.
E.
1997,Thephysicsofcomplexsystems,(eds.
F.
MallamaceandH.
E.
Stanley),IOS:Amsterdam,pp.
473-489.
Marchesoni,F.
andPatriarca,M.
1994,Self-organizedcriticalityindislocationnetworks,Phys.
Rev.
Lett.
72,4101-4104.
Martens,P.
C.
H.
andGomez,D.
O.
1992,SpatialpowerspectrafromYohkohsoftX-rayimages,Publ.
Astron.
Soc.
Japan44,L187-L191.
Maslov,S.
,Paczuski,M.
,andBak,P.
1994,Avalanchesand1/fnoiseinevolutionandgrowthmodels,Phys.
Rev.
Lett.
73,2162.
Matthaeus,W.
H.
andGoldstein,M.
L.
1986,Low-frequency1/fnoiseintheinterplanetarymagneticeld,Phys.
Rev.
Lett.
57,495-498.
Matthaeus,W.
H.
2000,MHD:MagneticReconnectionandTurbulence,inEncyclopediaofAstronomyandAstrophysics,(ed.
Murdin,P.
),NaturePublishingGroup,InstituteofPhysicsPublishing:Bristol,UK,andGrove'sDictionaries,Inc.
:NewYork.
Matthaeus,W.
H.
,Servidio,S.
,andDmitruk,P.
2008,Commenton"Kineticsimulationsofmagnetizedturbulenceinastrophysicalplasmas,Phys.
Rev.
Lett.
101/14,id.
149501.
MayR.
M.
1974.
ModelEcosystems,Princeton:Princeton,NewJersey.
McAteer,R.
T.
J.
,Young,C.
A.
,Ireland,J.
,andGallagher,P.
T.
2007,TheburstynatureofsolarareX-rayemission,Astrophys.
J.
662,691-700.
McHardy,I.
andCzerny,B.
1987,FractalX-raytimevariabilityandspectralinvarianceoftheSeyfertgalaxyNGC5506,Nature325,696-698.
McIntosh,S.
W.
andGurman,J.
B.
2005,NineyearsofEUVbrightpoints,SolarPhys.
228,285-299.
McIntosh,S.
W.
andCharbonneau,P.
2001,Geometricaleffectsinavalanchemodelsforsolarares:Im-plicationsforcoronalheating,Astrophys.
J.
563,L165-L169.
McIntosh,S.
W.
,Charbonneau,P.
,Bogdan,T.
J.
,Liu,H.
L.
,andNorman,J.
P.
2002,Geometricalpropertiesofavalanchesinself-organizedcriticalmodelofsolarares,Phys.
Rev.
E65/4,id.
046125.
Medvedev,M.
V.
,Diamond,P.
H.
,andCarreras,B.
A.
1996,Onthestatisticalmechanicsofself-organizedproles,Phys.
Plasmas3,3745-3753.
Melatos,A.
,Peralta,C.
,andWyithe,J.
S.
B.
2008,AvalancheDynamicsofradiopulsarglitches,Astrophys.
J.
672,1103-1118.
Melendez,J.
L.
,Sawant,H.
S.
,Fernandes,F.
C.
R.
,andBenz,A.
O.
1999,Statisticalanalysisofhigh-frequencydecimetrictypeIIIbursts,SolarPhys.
187,77-88.
Melnick,J.
andSelman,F.
J.
2000,Self-organizedcriticalityandtheIMFofstarbursts,inCosmicevolutionandgalaxyformation,structure,interactions,andfeedback,ASPConf.
Ser.
215,159-165.
Mendoza,B.
,Melendez-Venancio,R.
,Miroshnichenko,L.
I.
,andPerez-Enriquez,R.
1997,Frequencydistributionsofsolarprotonevents,Proc.
25thInt.
CosmicRayConf.
1,81.
Mercier,C.
andTrottet,G.
1997,Coronalradiobursts:Asignatureofnanoares,Astrophys.
J.
484,920-926.
378ReferencesMeszarosova,H.
,Karlicky,M.
,Veronig,A.
,Zlobec,P.
andMesserotti,M.
1999,Power-lawandexpo-nentialdistributionsofnarrowbanddm-spikesobservedduringtheJune15,1991are,inMagneticeldsandsolarprocesses,EuropeanSpaceAgency(ESA),SP-448,ESTECNoordwijk,Netherlands,p.
1025-1032.
Meszarosova,H.
,Karlicky,M.
,Veronig,A.
,Zlobec,P.
andMesserotti,M.
2000,Linearandnonlinearstatisticalanalysisofnarrow-banddm-spikesobservedduringtheJune15,1991are,Astron.
Astro-phys.
360,1126-1138.
Meunier,N.
1999,FractalanalysisofMichelsonDopplerImagermagnetograms:acontributiontothestudyoftheformationofsolaractiveregions.
Astrophys.
J.
515,801-811.
Meunier,N.
2003,Statisticalpropertiesofmagneticstructures:Theirdependenceonscaleandsolaractivity,Astron.
Astrophys.
405,1107-1120.
Meunier,N.
2004,Complexityofmagneticstructures:aresandcyclephasedependence,Astron.
Astro-phys.
420,333-342.
Meyer,Y.
andRyan,R.
D.
1993,Wavelets:Algorithmsandapplications,Soc.
Industr.
App.
Math.
(SIAM),Philadelphia,133p.
Middleton,A.
A.
andTang,C.
1995,Self-organizedcriticalityinnonconservedsystems,Phys.
Rev.
Lett.
74/5,742-745.
Milano,L.
J.
,Gomez,D.
O.
,andMartens,P.
C.
H.
1997,Solarcoronalheating:ACversusDC,Astrophys.
J.
490,442-451.
Milano,L.
J.
,Dmitruk,P.
,Mandrini,C.
H.
,Gomez,D.
O.
,andDemoulin,P.
1999,Quasi-separatrixlayersinareducedmagnetohydrodynamicmodelofacoronalloop,Astrophys.
J.
521,889-897.
Miller,J.
A.
,Cargill,P.
J.
,Emslie,A.
G.
,Holman,G.
D.
,Dennis,B.
R.
,LaRosa,T.
N.
,Winglee,R.
M.
,Benka,S.
G.
,andTsuneta,S.
1997,Criticalissuesforunderstandingparticleaccelerationinimpulsivesolarares,J.
Geophys.
Res.
102/A7,14631-14659.
Milovanov,A.
V.
,andZelenyi,L.
M.
1999,Fractonexcitationsasadrivingmechanismfortheself-organizeddynamicalstructuringinthesolarwind,Astrophys.
SpaceSci.
264,317-345.
Milovanov,A.
V.
,Zelenyi,L.
M.
,Zimbardo,G.
,andVeltri,P.
2001,Self-organizedbranchingofmagneto-tailcurrentsystemsnearthepercolationthreshold,J.
Geophys.
Res.
106/A4,6291-6308.
Milshtein,E.
,Biham,O.
,andSolomon,S.
1998,Universalityclassesinisotropic,Abelian,andnon-Abeliansandpilemodels,Phys.
Rev.
E58,303-310.
Mineshige,S.
,Ouchi,N.
B.
,andNishimori,H.
1994a,Onthegenerationof1/fuctuationsinX-raysfromblack-holeobjects,Publ.
Astron.
Soc.
Japan46,97-105.
Mineshige,S.
,Takeuchi,M.
,andNishimori,H.
1994b,Isablackholeaccretiondiskinaself-organizedcriticalstate,Astrophys.
J.
435,L125-L128.
Mineshige,S.
1999,Self-organizedcriticalityinaccretiondisks,inDiskinstabilitiesinclosebinarysys-tems,(eds.
S.
MineshigeandJ.
C.
Wheeler),FrontiersScienceSeries26,UniversalAcademyPress,Inc.
,p.
295.
Mineshige,S.
andNegoro,H.
1999,Accretiondisksinthecontextofself-organizedcriticality:Howtoproduce1/fuctuations,inHighenergyprocessesinaccretingblackholes,ASPConf.
Ser.
161,113-128.
Mininni,P.
D.
,Gomez,D.
O.
,andMindlin,G.
B.
2002,Biorthogonaldecompositiontechniquesunveilthenatureoftheirregularitiesobservedinthesolarcycle,Phys.
Rev.
Lett.
89,p.
061101.
Miroshnichenko,L.
I.
1995,Onthethresholdeffectofprotonaccelerationinsolarares,SolarPhys.
156,119-129.
Miroshnichenko,L.
I.
,Mendoza,B.
,andPerez-EnriquezR.
2001,Sizedistributionsofthe>10MeVsolarprotonevents,SolarPhys.
202,151-171.
Mitra-Kraev,U.
andBenz,A.
O.
2001,Ananoareheatingmodelforthequietsolarcorona,Astron.
Astrophys.
373,318-328.
Miyamoto,S.
,Kimura,K.
,Kitamoto,S.
,,Dotani,T.
,andEbisawa,K.
1991,X-rayvariabilityofGX339-4initsveryhighstate.
Astrophys.
J.
383,784-807.
Moffat,J.
W.
1997,Stochasticgravityandself-organizedcriticalcosmology,inVeryHighEnergyPhe-nomenaintheUniverse,MorionWorkshop,(eds.
Y.
Giraud-HeraudandJ.
T.
ThanVan),p.
353.
Moon,Y.
J.
,Choe,G.
S.
,Yun,H.
S.
,andPark,Y.
D.
2001,FlaringtimeintervaldistributionandspatialcorrelationofmajoreX-raysolarares,J.
Geophys.
Res.
106/A12,29951-29962.
References379Moon,Y.
J.
,Choe,G.
S.
,Park,Y.
D.
,Wang,H.
,Gallagher,P.
T.
,Chae,J.
C.
,Yun,H.
S.
,andGoode,P.
R.
2002,Statisticalevidenceforsympatheticares,Astrophys.
J.
574,434-439.
Moon,Y.
J.
,Choe,G.
S.
,Wang,H.
,andPark,Y.
D.
2003,Sympatheticcoronalmassejections,Astrophys.
J.
588,1176-1182.
Morales,L.
andCharbonneau,P.
2008a,Self-organizedcriticalmodelofenergyreleaseinanidealizedcoronalloop,Astrophys.
J.
682,654-666.
Morales,L.
andCharbonneau,P.
2008b,ScalinglawsandfrequencydistributionsofavalancheareasinaSOCmodelofsolarares,Geophys.
Res.
Lett.
35,4108.
Morales,L.
andCharbonneau,P.
2009,Geometricalpropertiesofavalanchesinapseudo3-Dcoronalloop,Astrophys.
J.
698,1893-1902.
Morley,P.
D.
andGarcia-Pelayo,R.
1993,Scalinglawforpulsarglitches,Europhys.
Lett.
23/3,185-189.
Mossner,W.
K.
,Drossel,B.
,andSchwabl,F.
1992,Computersimulationsoftheforest-remodel,PhysicaA190/3-4,205-217.
Mousseau,N.
1996,Synchronizationbydisorderincoupledsystems,Phys.
Rev.
Lett.
77,968-971.
Nagatani,T.
1995a,Self-organizedcriticalityin1-Dtrafcowmodelwithinowandoutow,J.
PhysicsA:Math.
Gen.
28,L119-L124.
Nagatani,T.
1995b,Self-organizedcriticalityandscalinginlifetimeoftrafcjams,J.
Phys.
Soc.
Japan64/1,31.
Nagatani,T.
1995c,Self-organizedcriticalityin2-Dtrafcowmodelwithjam-avoidingdrive,J.
Phys.
Soc.
Japan64/4,1421.
Nagatani,T.
1995d,Self-organizedcriticalityinasymmetricexclusionmodelwithnoiseforfreewaytrafc,PhysicaA218,145-154.
Nagatani,T.
1995e,Bunchingofcarsinasymmetricexclusionmodelsforfreewaytrafc,Phys.
Rev.
E51/2,922-928.
Nagatani,T.
1995f,Creationandannihilationoftrafcjamsinastochasticasymmetricexclusionmodelwithopenboundaries:acomputersimulation,J.
PhysicsA28/24,7079-7088.
Nagel,K.
andRaschke,E.
1992,Self-organizedcriticalityincloudformation,PhysicaA182/4,519-531.
Nagel,K.
andSchreckenbergM.
1992,Acellularautomatonmodelforfreewaytrafc,J.
dePhysiqueI2/12,2221-2229.
Nagel,K.
andHerrmann,H.
J.
1993,Deterministicmodelsfortrafcjams,PhysicaA,199/2,254-269.
Nagel,K.
andPaczuski,M.
1995,Emergenttrafcjams,Phys.
Rev.
E.
51/4,2909-2918.
Nakanishi,H.
1990,Cellular-automatonmodelofearthquakeswithdeterministicdynamics,PhysicalRe-viewA41/12,7086-7089.
Nakanishi,H.
1991,Statisticalpropertiesofthecellular-automatonmodelforearthquakes,PhysicalRe-viewA43/12,6613-6621.
Nathan,A.
andBarbosa,V.
C.
2006,"V-likeformationinocksofarticialbirds",ArticialLife14(2008),179–188.
Negoro,H.
1992,MasterThesis,OsakaUniversity.
Negoro,H.
,Kitamoto,S.
,Takeuchi,M.
,andMineshige,S.
1995,StatisticsofX-rayuctuationsfromCygnusX-1:ReservoirsinthediskAstrophys.
J.
452,L49-L52.
Negoro,H.
,Kitamoto,S.
,andMineshige,S.
2001,TemporalandspectralvariationsofthesuperposedshotascausesofpowerspectraldensitiesandhardX-raytimelagsofCygnusX-1,Astrophys.
J.
554,528-533.
Negoro,H.
andMineshige,S.
2002,Log-normaldistributionsinCygnuysX-1:Possiblephysicallinkwithgamma-rayburstsandblazarsPASJ54,L69-L72.
Newman,M.
E.
J.
andSneppen,K.
1996,Avalanches,scaling,andcoherentnoise,Phys.
Rev.
E54/6,6226-6231.
Newman,M.
E.
J.
,Watts,D.
J.
,andStrogatz,S.
H.
2002,Randomgraphmodelsofsocialnetworks,inSelf-organizedcomplexityinthephysical,biological,andsocialsciences,ArthurM.
SacklerColloquia,(eds.
Turcotte,D.
,Rundle,J.
,andFrauenfelder,H.
),TheNationalAcademyofSciences:WashingtonDC,p.
2566-2572.
Ning,Z.
,Wu,H.
,Xu,F.
,andMeng,X.
2007,Frequencydistributionsofmicrowavepulsesforthe18March2007solarare,SolarPhys.
242,101-109.
380ReferencesNishizuka,N.
,Asai,A.
,Takasaki,H.
,Kurokawa,H.
,andShibata,K.
2009,Thepower-lawdistributionofarekernelsandfractalcurrentsheetsinasolarare,Astrophys.
J.
694,.
L74-L78.
Nita,G.
M.
,Gary,D.
E.
,Lanzerotti,L.
J.
,andThomson,D.
J.
2002,Thepeakuxdistributionofsolarradiobursts,Astrophys.
J.
570,423-438.
Nita,G.
M.
,Gary,D.
E.
,andLee,J.
W.
2004,StatisticalstudyoftwoyearsofsolarareradiospectraobtainedwiththeOwensValleysolararray,Astrophys.
J.
605,528-545.
Noever,D.
A.
1993,Himalayansandpiles,Phys.
Rev.
E.
47,724-725.
Norman,J.
P.
,Charbonneau,P.
,McIntosh,S.
W.
,andLiu,H.
L.
2001,Waiting-timedistributionsinlatticemodelsofsolarares,Astrophys.
J.
557,891-896.
Norris,J.
P.
andMatilsky,T.
A.
1989,IsHerculesX-1astrangeattractorAstrophys.
J.
346,912-918.
Norris,J.
P.
1995,Gamma-raybursts:thetimedomain,AstrophysicsandSpaceScience231,95-102.
Norris,J.
P.
,Nemiroff,R.
J.
,Bonnell,J.
T.
,Scargle,J.
D.
,Kouveliotou,C.
,Paciesas,W.
S.
,Meegan,C.
A.
,andFishman,G.
J.
1996,Attributesofpulsesinlongbrightgamma-raybursts,Astrophys.
J.
459,393-412.
Nozakura,T.
andIkeuchi,S.
1988,Spiralpatternsonadifferentiallyrotatinggalacticdisk–Self-organizedstructuresingalaxies,Astrophys.
J.
333,68-77.
Nurujjaman,Md.
andSekar-Iyenbgar,A.
N.
2007,RealizationofSOCbehaviorinaDCglowdischargeplasma,Phys.
Lett.
A360,717-721.
O'Brien,K.
P.
andWeissman,M.
B.
1994,StatisticalcharacterizationofBarkhausennoise,Phys.
Rev.
E50/5,3446-3452.
Okuzono,T.
,andKawasaki,K.
1995,Intermittentowbehaviorofrandomfoams:Acomputerexperimentonfoamrheology,Phys.
Rev.
E51/2,1246-1253.
Olami,Z.
,Feder,H.
J.
S.
,andChristensen,K.
1992,Self-organizedcriticalityinacontinuouscellularautomatonmodelingearthquakes,Phys.
Rev.
Lett.
68/8,1244-1247.
Olmedo,O.
,Zhang,J.
,Wechsler,H.
,Poland,A.
,andBorne,K.
2008,Automaticdetectionandtrackingofcoronalmassejectionsincoronagraphtimeseries,SolarPhys.
248,485-499.
Olson,C.
J.
,Reichhardt,C.
,andNori,F.
1997,Superconductingvortexavalanches,voltagebursts,andvortexplasticow:effectofthemicroscopicpinninglandscapeonthemacroscopicproperties,Phys.
Rev.
B56/10,6175-6194.
Omori,F.
,1895,J.
Coll.
Sci.
Imper.
Univ.
Tokyo7,111.
Osorio,I.
,Frei,M.
G.
,Sornette,D.
,andMilton,J.
2009a,Pharmaco-resistantseizures:self-triggering,capacity,scale-freepropertiesandpredictability,EuropeanJ.
Neuroscience30,1554-1558.
Osorio,I.
,Frei,M.
G.
,Sornette,D.
,Milton,J.
,andLai,Y.
C.
2009b,Epilepticseizures,quakesinthebrain,(archiv.
org/abs/0712.
3929),preprint.
Osten,R.
A.
andBrown,A.
1999,ExtremeUltravioletExplorerphotometryofRSCanumVenaticorumsystems:fouraringmegaseconds,Astrophys.
J.
515,746-761.
O'Toole,D.
V.
,Robinson,P.
A.
andMyerscough,1999,Self-organizedcriticalityandemergentoscillationsinmodelsoftermitearchitecture,J.
Theor.
Biol.
198,305-307.
Otsuka,M.
1972,Asimulationofearthquakeoccurrence,Phys.
EarthandPlanetinteriors6/4,311-315.
Otter,R.
1949,AnnalsofMath.
Stat.
20,206.
Paczuski,M.
andBak,P.
1993,Theoryoftheone-dimensionalforest-remodel,Phys.
Rev.
E48/5,3214-3216.
Paczuski,M.
,Maslov,S.
,andBak,P.
1994,Fieldtheoryforamodelofself-organizedcriticality,Euro-physicsLetters(EPL)27/2,97-102.
Paczuski,M.
andB¨ottcher,S.
1996,Universalityinsandpiles,interfacedepinning,andearthquakemodels,Phys.
Rev.
Lett.
77,111-114.
Paczuski,M.
,Maslov,S.
,andBak,P.
,1996,Avalanchedynamicsinevolution.
Growthanddepinningmodels,Phys.
Rev.
E53,414.
Paczuski,M.
,Bassler,K.
E.
,andCorral,A.
2000,Self-organizednetworksofcompetingBooleanagents,Phys.
Rev.
Lett.
48/14,3185-3188.
Paczuski,M.
,B¨ottcher,S.
,andBaiesi,M.
2005,Inter-occurrencetimesintheBak-Tang-Wiesenfeldsand-pilemodel:acomparisonwiththeturbulentstatisticsofsolarares,Phys.
Rev.
Lett.
95/18,id.
181102.
Paniveni,U.
,Krishan,V.
,Sing,J.
,andSrikanth,R.
2005,Onthefractalstructureofsolarsupergranula-tion,SolarPhys.
231,1-10.
References381Pankine,A.
A.
andIngersoll,A.
P.
2004,InterannualvariabilityofMarsglobalduststorms:anexampleofself-organizedcriticalityIkarus170,514-518.
Parker,E.
N.
1963,InterplanetaryDynamicalProcesses,Wiley:NewYork.
Parker,E.
N.
1972,Topologicaldissipationandthesmall-scaleeldsinturbulentgases,Astrophys.
J.
174,499-510.
Parker,E.
N.
1979,CosmicalMagneticFields,Oxford:OxfordUniversityPress,Chap.
15.
Parker,E.
N.
1983,Magneticneutralsheetsinevolvingelds.
II.
Formationofthesolarcorona,Astrophys.
J.
264,642-647.
Parker,E.
N.
1988,NanoaresandthesolarX-raycorona,Astrophys.
J.
330,474-479.
Parnell,C.
E.
andJupp,P.
E.
2000,StatisticalanalysisoftheenergydistributionofnanoaresinthequietSunAstrophys.
J.
529,554-569.
Parnell,C.
E.
,DeForest,C.
E.
,Hagenaar,H.
J.
,Johnston,B.
A.
,Lamb,D.
A.
,andWelsch,B.
T.
2009,Apower-lawdistributionofsolarmagneticeldsovermorethanvedecadesinux,Astrophys.
J.
698,75-82.
Pavlidou,V.
,Kuijpers,J.
,Vlahos,L.
,andIsliker,H.
2001,Acellularautomatonmodelforthemagneticactivityinaccretiondisks,Astron.
Astrophys.
372,326-337.
Pearce,G.
andHarrison,R.
A.
1990,Sympatheticaring,Astron.
Astrophys.
228,513-516.
Pearce,G.
,Rowe,A.
K.
,andYeung,J.
1993,AstatisticalanalysisofhardX-raysolarares,Astrophys.
SpaceScience208,99-111.
Peitgen,H.
O.
andRichter,P.
1986,Thebeautyoffractals,Springer,Berlin.
Peitgen,H.
O.
andSaupe,D.
1988,Thescienceoffractalimages,Springer,Berlin.
Pelletier,J.
D.
,Malamud,B.
D.
,Blodgett,T.
andTurcotte,D.
L.
1997,Scale-invarianceofsoilmoisturevariabilityanditsimplicationsforthefrequency-sizedistributionofsandslides,Engin.
Geol.
49,255-268.
Perez-Enriquez,R.
andMiroshnichenko,L.
I.
1999,FrequencydistributionsofsolarfammarayeventsrelatedandnotrelatedwithSPEs1989-1995,SolarPhys.
188,169-185.
Petri,A.
,Paparo,G.
,Vespignani,A.
,Alippi,A.
,andConstantini,M.
1994,Experimentalevidenceforcriticaldynamicsinmicrofracturingprocesses,Phys.
Rev.
Lett.
73,3423-3426.
Petrosyan,A.
,Balogh,A.
,Goldstein,M.
L.
,Leorat,J.
,Marsch,E.
,Petrovay,K.
,Roberts,B.
,vonSteiger,R.
,andVial,J.
C.
2010,Turbulenceinthesolaratmosphereandsolarwind,SpaceScienceRev.
(subm.
).
Pietronero,L.
,Vispignani,A.
,andZapperi,S.
1994,Renormalizationschemeforself-organizedcriticalityinsandpilemodels,Phys.
Rev.
Lett.
72/11,1690-1693.
Pizzochero,P.
M.
,Viverit,L.
,andBroglia,R.
A.
1997,Vortex-nucleusinteractionandpinningforcesinneutronstars,Phys.
Rev.
Lett.
79/18,3347-3350.
Pla,O.
andNori,F.
1991,Self-organizedcriticalbehaviorinpinneduxlattices,Phys.
Rev.
Lett.
67,919-922.
Podesta,J.
J.
,Roberts,D.
A.
,andGoldstein,M.
L.
2006a,Powerspectrumofsmall-scaleturbulentvelocityuctuationsinthesolarwind,J.
Geophys.
Res.
111/A10,CiteIDA10109.
Podesta,J.
J.
,Roberts,D.
A.
,andGoldstein,M.
L.
2006b,Self-similarscalingofmagneticenergyintheinertialrangeofsolarwindturbulence,J.
Geophys.
Res.
111/A9,CiteIDA09105.
Podesta,J.
J.
,Roberts,D.
A.
,andGoldstein,M.
L.
2007,Spectralexponentsofkineticandmagneticenergyspectrainsolarwindturbulence,Astrophys.
J.
664,543-548.
Podesta,J.
J.
2007,Self-similarscalingofkineticenergydensityintheinertialrangeofsolarwindturbu-lence,J.
Geophys.
Res.
(SpacePhysics)112/11,CiteIDA11104.
Podladchikova,O.
V.
,Krasnoselskikh,V.
,andLefebvre,B.
1999,QuietSuncoronalheating:sandpilereconnectionmodel,in"MagneticFieldsandSolarProcesses",Proc.
ofthe9thEuropeanMeeting(ed.
Wilson,A.
),EuropeanSpaceAgencySpecialPublicationVol.
448,ESA,ESTECNoordwijk,TheNetherlands,p.
553-559.
Podladchikova,O.
2002,StatisticalmodelofquietSuncoronalheating,PhDThesis,UniversitedeOrleans,France.
Podladchikova,O.
V.
andBerghmans,D.
2005,AutomateddetectionofEITwavesanddimmings,SolarPhys.
228,265-284.
382ReferencesPodlazov,A.
V.
,andOsokin,A.
R.
2002,Self-organizedcriticalitymodelofsolarplasmaeruptionpro-cesses,Astrophys.
SpaceSci.
282,221-226.
Poliakov,A.
N.
B.
andHerrmann,H.
J.
1994,Self-organizedcriticalityofplasticshearbandsinrocks,Geophys.
Res.
Lett.
21,2143-2146.
Polygiannakis,J.
M.
andMoussas,X.
1994,Onexperimentalevidenceofchaoticdynamicsovershorttimescalesinsolarwindandcometarydatausingnonlinearpredictiontechniques,SolarPhys.
151,341-350.
Polygiannakis,J.
M.
,Preka-Papadema,P.
,andMoussas,X.
2003,Onsignal-noisedecompositionoftime-seriesusingthecontinuouswavelettransform:applicationtosunspotindex,MonthlyNoticesRoyalAstron.
Soc.
343,725-734.
Press,W.
H.
1978,Flickernoisesinastronomyandelsewhere,CommentsonModernPhysics,PartC,7/4,103-119.
Procaccia,I.
1985,Thestaticanddynamicinvariantsthatcharacterizechaosandtherelationsbetweenthemintheoryandexperiments,Phys.
ScriptaT9,40-46.
Prozorov,R.
andGiller,D.
1999,Self-organizationofvorticesintype-IIsuperconductorsduringmagneticrelaxation,Phys.
Rev.
B59,14687-16691.
Qiu,J.
andWang,H.
2006,Onthetemporalandspatialpropertiesofelementarybursts,SolarPhys.
236,293-311.
Quilligan,F.
,McBreen,B.
,Hanlong,L.
,McBreen,S.
,Hurley,K.
,andWatson,D.
2002,Temporalprop-ertiesofgamma-rayburstsassignaturesofjetsfromthecentralengine,Astron.
Astrophys.
385,377-398.
Raup,M.
D.
1986,BiologicalextinctioninEarthhistory,Science231,1528.
Raup,M.
D.
1991,Extinction:badgenesorbadluckNewYork:Norton,p.
210.
Ray,T.
S.
andJan,N.
1994,Anomalousapproachtotheself-organizedcriticalstateinamodelfor"lifeattheedgeofchaos",Phys.
Rev.
Lett.
72/25,4045-4048.
Reed,W.
J.
andHughes,B.
D.
2002,Fromgenefamiliesandgeneratoincomesandinternetlesizes:Whypowerlawsaresocommoninnature,Phys.
Rev.
Lett.
E66,067103.
Rhodes,C.
J.
andAnderson,R.
M.
1996,Powerlawsgoverningepidemicsinisolatedpopulation,Nature381,600-602.
Rhodes,C.
J.
,Jensen,H.
J.
andAnderson,R.
M.
1997,Onthecriticalbehaviourofsimpleepidemics,Proc.
R.
Soc.
B264,1639-1646.
Rhodes,T.
L.
,Moyer,R.
A.
,Groebner,R.
,Doyle,E.
J.
,Lehmer,R.
,Peebles,W.
A.
andRettig,C.
L.
1999,Experimentalevidenceforself-organizedcriticalityintokamakplasmaturbulence,Phys.
Lett.
A.
253/3-4,181-186.
Rice,J.
R.
,1995,MathematicalStatisticsandDataAnalysis(SecondEd.
),DuxburyPress.
Richardson,L.
F.
1941,Frequencyoccurrenceofwarsandotherfatalquarrels,Nature148,598.
Richardson,L.
F.
1960,StatisticsofDeadlyQuarrels,Pittsburgh,PA:Boxwood,p.
373.
Rieutord,M.
,Meunier,N.
,Roudier,T.
,Rondi,S.
,Beigbeder,F.
,andPares,L.
2008,Solarsupergranula-tionrevealedbygranuletracking,Astron.
Astrophys.
479,L17-L20.
Rieutord,M.
,Roudier,T.
,Rincon,F.
,Malherbe,J.
-M.
,Berger,T.
,andFrank,Z.
2010,Onthepowerspectrumofsolarsurfaceows,Astron.
Astrophys.
512,id.
A4.
Rinaldo,A.
,Maritan,A.
,Colaiori,E.
,Flammini,A.
,Rigon,R.
,Ignacio,I.
,Rodriguez-Iturbe,I.
andBa-navan,J.
R.
1996,Thermodynamicsoffractalrivernetworks,Phys.
Rev.
Lett.
76,3364-3367.
Robbrecht,E.
andBerghmans,D.
2004,Automatedrecognitionofcoronalmassejections(CMEs)innear-real-timedata,Astron.
Astrophys.
425,1097-1106.
Robbrecht,E.
,Berghmans,D.
,andVanderLinden,R.
A.
M.
2009,AutomatedLASCOCMEcatalogforsolarcycle23:AreCMEsscaleinvariant,Astrophys.
J.
691,1222-1234.
Roberts,D.
C.
andTurcotte,D.
L.
1998,Fractalityandself-organizedcriticalityofwars,Fractals6,351-357.
Robinson,R.
D.
,Carpenter,K.
G.
,andPercival,J.
W.
1999,AsearchformicroaringactivityondMearestars.
II.
ObservationsofYZCanisMinoris,Astrophys.
J.
516,916-923.
Robinson,P.
A.
1993,Stochastic-growththeoryofLangmuirgrowth-rateuctuationsintypeIIIsolarradiosources,SolarPhys.
146,357-363.
References383Rosenshein,E.
B.
2003,ApplicabilityofcomplexitytheorytoMartianuvialsystems:Apreliminaryanal-ysis,34thAnnualLunarandPlanetaryScienceConference,LeagueCity,Texas,abstractno.
1660.
Rosner,R.
,andVaiana,G.
S.
1978,Cosmicaretransients:constraintsuponmodelsforenergystorageandreleasederivedfromtheeventfrequencydistribution,Astrophys.
J.
222,1104-1108.
Rothman,D.
H.
,Grotziger,J.
P.
,andFlemings,P.
1994,Scalinginturbiditedeposition,J.
Sed.
Petrol.
A64,59-67.
Roudier,T.
andMuller,R.
1987,Structureofsolargranulation,SolarPhys.
107,11-26.
RouppeVanDerVoort,L.
H.
M.
,Loefdahl,M.
G.
,Kiselman,D.
,andScharmer,G.
B.
2004,Penumbralstructureat0.
1arcsecresolution.
I.
Generalappearanceandpowerspectra,Astron.
Astrophys.
414,717-726.
Roux,S.
andGuyon,E.
1989,Temporaldevelopmentofinvasionpercolation,J.
PhysicsA22/17,3693-3705.
Rundle,J.
B.
andKlein,W.
1989,Nonclassicalnucleationandgrowthofcohesivetensilecracks,Phys.
Rev.
Lett.
63/2,171-174.
Rundle,J.
B.
,Tiampo,K.
F.
,Klein,W.
,andSaMartins,J.
S.
2002,Self-organizationinleakythresholdsys-tems:Theinuenceofnear-meanelddynamicsanditsimplicationsforearthquakes,neurobiology,andforecasting,inSelf-organizedcomplexityinthephysical,biological,andsocialsciences,ArthurM.
SacklerColloquia,(eds.
Turcotte,D.
,Rundle,J.
,andFrauenfelder,H.
),TheNationalAcademyofSciences:WashingtonDC,p.
2514-2521.
Ryabov,V.
B.
,Stepanov,A.
V.
,Usik,P.
V.
,Vavriv,D.
M.
,Vinogradov,V.
V.
,andYurovsky,Y.
F.
1997,Fromchaoticto1/fprocessesinsolarmicrowavebursts,Astron.
Astrophys.
324,750-762.
Sahraoui,F.
,Goldstein,M.
L.
,Robert,P.
,Khotyzintsev,Y.
V.
2009,Evidenceofacascadeanddissipationofsolar-windturbulenceattheelectrongyroscale,Phys.
Rev.
Lett.
102,231102:1-4.
Saichev,A.
andSornette,D.
2006,"Universal"distributionofinter-earthquaketimesexplained,Phys.
Rev.
Lett.
97/7,id.
078501.
Saichev,A.
,Malevergne,Y.
,andSornette,D.
2009,TheoryofZipf'sLawandBeyond,LectureNotesinEconomicsandMathematicalSystems,Vol.
632,Springer:Berlin.
Sammis,C.
,King,G.
andBiegel,R.
1987,Thekinematicsofgougedeformation,PureAppl.
Geophys.
125,777-812.
Sammis,I.
1999,Globalversuslocalareenergydistributions,SolarPhys.
189,173-179.
Sammis,I.
,Tang,F.
,andZirin,H.
2000,Thedependenceoflargeareoccurrenceonthemagneticstruc-tureofsunspots,Astrophys.
J.
540,583-587.
Sanz,J.
L.
,Herranz,D.
,andMartinez-Gonzalez,E.
2001,Optimaldetectionofsourcesonahomogeneousandisotropicbackground,Astrophys.
J.
552,484-492.
Scargle,J.
1981,StudiesinAstronomicalTimeSeriesAnalysis.
I.
Modelingrandomprocessesinthetimedomain,Astrophys.
J.
Suppl.
Ser.
45,1-71.
Scargle,J.
1982,Studiesinastronomicaltimeseriesanalysis.
II.
Statisticalaspectsofspectralanalysisofunevenlyspaceddata,Astrophys.
J.
263,835-853.
Scargle,J.
1989,Studiesinastronomicaltimeseriesanalysis.
III.
Fouriertransforms,autocorrelationfunctions,andcross-correlationfunctionsofunevenlyspaceddata,Astrophys.
J.
343,874-887.
Scargle,J.
1990,Studiesinastronomicaltimeseriesanalysis.
IV.
Modelingchaoticandrandomprocesseswithlinearlters,Astrophys.
J.
359,469-482.
Scargle,J.
1993,Waveletmethodsinastronomicaltimeseriesanalysis,Internat.
Conf.
onApplicationsoftimeseriesanalysisinastronomyandmeteorology,(ed.
O.
Lessi),Padova,Italy.
Scargle,J.
,Steiman-Cameron,T.
,Young,K.
,Donoho,D.
L.
,Crutchled,J.
P.
Imamura,J.
1993,Thequasi-periodicoscillationsandverylowfrequencynoiseofScorpiusX-1astransientchaos:adrippinghandrailAstrophysJ.
411,L91-L94.
Scargle,J.
1998,Studiesinastronomicaltimeseriesanalysis.
V.
Bayesianblocks,anewmethodtoanalyzestructureinphotoncountingdata,Astrophys.
J.
504,405-418.
Schatten,K.
H.
2007,Percolationandthesolardynamo,Astrophys.
J.
Suppl.
Ser.
169,137-153.
Scheinkman,J.
A.
andWoodford,M.
1994,Self-organizedcriticalityandeconomicuctuations,Am.
Econ.
Rev.
84,417-421.
Schrijver,C.
J.
2009,Drivingmajorsolararesanderuptions:Areview,Adv.
SpaceRes.
43,739-755.
Schroeder,M.
1991,Fractals,Chaos,PowerLaws:MinutesfromanInniteParadise,NewYork:Freeman.
384ReferencesSchulman,L.
S.
andSeiden,P.
E.
1986,Propagatingstochasticstarformationandgalacticstructure,Ann.
IsraelPhys.
Soc.
5,251-296.
Schuster,H.
G.
1988,DeterministicChaos:AnIntroduction,Weinheim(Germany):VCHVerlagsge-sellschaft,270p.
Schwartz,R.
A.
,Dennis,B.
R.
,Fishman,G.
J.
,Meegan,C.
A.
,Wilson,R.
B.
,andPaciesas,W.
S.
1992,BATSEareobservationsinsolarcycle22,inTheComptonObservatoryScienceWorkshop,(eds.
C.
R.
Shrader,N.
Gehrels,andB.
R.
Dennis),NASACP3137(NASA:WashingtonDC),p.
457-460.
Schwarz,U.
,Benz,A.
O.
,Kurths,J.
andWitt,A.
1993,Analysisofsolarspikeeventsbymeansofsymbolicdynamicsmethods,Astron.
Astrophys.
277,215-224.
Schwarz,U.
,Kurths,J.
,Kliem,B.
,Krueger,A.
,andUrpo,S.
1998,Multiresolutionanalysisofsolarmm-wavebursts,Astron.
Astrophys.
Suppl.
Ser.
127,309-318.
Searle,L.
andZinn,R.
1978,Compositionsofhaloclustersandtheformationofthegalactichalo,Astro-phys.
J.
225,357-379.
Seiden,P.
E.
andGerola,H.
1982,Propagatingstarformationandthestructureandevolutionofgalaxies,Fund.
CosmicPhys.
7,241-311.
Seiden,P.
E.
andWentzel,D.
G.
1996,SolaractiveregionsasapercolationphenomenonII,Astrophys.
J.
460,522-529.
Sen,A.
K.
2007,Multifractalityasameasureofcomplexityinsolarareactivity,SolarPhys.
241,67-76.
Sepkoski,J.
J.
Jr.
1993,Tenyearsinthelibrary:newdataconrmpaleontologicalpatterns,Paleobiology19,43-51.
Serre,T.
andNesme-Ribes,E.
2000,Nonlinearanalysisofsolarcycles,Astron.
Astrophys.
360,319-330.
Shakura,N.
I.
andSunyaev,R.
A.
1973,Blackholesinbinarysystems.
Observationalappearance,Astron.
Astrophys.
24,337-355.
Shaw,B.
E.
,Carlson,J.
M.
,andLanger,J.
S.
1992,Patternsofseismicactivityprecedinglargeearthquakes,J.
Geophys.
Res.
97,479-488.
Shaw,B.
E.
1995,Frictionalweakeningandslipcomplexityinearthquakefaults,J.
Geophys.
Res.
100/B9,18239-18252.
Shibata,K.
andYokoyamaT.
1999,Originoftheuniversalcorrelationbetweenthearetemperatureandtheemissionmeasureforsolarandstellarares,Astrophys.
J.
526,L49-L52.
Shibata,K.
andYokoyamaT.
2002,AHertzsprung-Russell-likediagramforsolar/stellararesandcorona:emissionmeasureversustemperaturediagram,Astrophys.
J.
577,422-432.
Shimizu,T.
1995,Energeticsandoccurrencerateofactive-regiontransientbrighteningsandimplicationsfortheheatingoftheactive-regioncorona,Publ.
Astron.
Soc.
Japan47,251-263.
Shimojo,M.
andShibata,K.
1999,OccurrencerateofmicroaresinanX-raybrightpointwithinanactiveregion,Astrophys.
J.
516,934-938.
Simnett,G.
M.
1974,Acorrelationbetweentime-overlappingsolararesandthereleaseofenergeticparticles,SolarPhys.
34,377-391.
Sitnov,M.
I.
,Sharma,A.
S.
,Papadopoulos,K.
,Vassiliadis,D.
,Valdivia,J.
A.
,Klimas,A.
J.
,andBaker,D.
N.
2000,J.
Geophys.
Res.
105/A6,12,955-12,974.
Sivia,D.
S.
andSkilling,J.
2006,(2nded.
),DataAnalysis–ABayesianTutorial,OxfordUniversityPress,264p.
Sivron,R.
1998,Self-organizedcriticalityincompactplasmas,Astrophys.
J.
503,L57-L61.
Smalley,R.
F.
Jr.
,Turcotte,D.
L.
,andSolla,S.
A.
1985,Arenormalizationgroupapproachtothestick-slipbehavioroffaults,J.
Geophys.
Res.
90,1894-1900.
Smart,D.
F.
andShea,M.
A.
1997,Commentontheuseofsolarprotonspectrainsolarprotondosecalcu-lations,inProc.
Solar-TerrestrialPredictionWorkshopV,HiraisoSolar-TerrestrialResearchCenter,Japan,p.
449.
Sneppen,K.
andJensen,M.
H.
1993,Coloredactivityinself-organizedcriticalinterfacedynamics,Phys.
Rev.
,Lett.
71,101-104.
Sneppen,K.
,Bak,P.
,Flyvbjerg,H.
,andJensen,M.
H.
1995,Evolutionasaself-organizedcriticalphe-nomenon,Proc.
NationalAcademyofScience,USA92,5209-5213.
Socolar,J.
E.
S.
,Grinstein,G.
,andJyaprakash,C.
1993,Onself-organizedcriticalityinnonconservingsystems,Phys.
Rev.
E47/4,2366-2376.
References385Sole,R.
V.
andManrubiaS.
C.
1996,Extinctionandself-organizedcriticalityinamodeloflarge-scaleevolution,Phys.
Rev.
E54/1,R42-R45.
Sole,R.
V.
,Manrubia,S.
C.
,Benton,M.
,Kauffman,S.
andBak,P.
1999,Self-organizedcriticalityinevo-lutionaryecology,TrendsEcol.
Evol.
14,156-160.
Somfai,E.
,Czirok,A.
,andVicsek,T.
1994a,Self-afnerougheninginamodelexperimentonerosioninGeomorphology,J.
PhysicsA205,355-366.
Somfai,E.
,Czirok,A.
,andVicsek,T.
1994b,Power-lawdistributionoflandslidesinanexperimentontheerosionofagranularpile,J.
PhysicsA27,L757-L763.
Sornette,A.
andSornetteD.
1989,Self-organizedcriticalityandearthquakes,EurophysicsLetters9,197-202.
Sornette,D.
,SornetteA.
,andDavy,P.
1990,Structurationofthelithosphereinplatetectonicsasaself-organizedcriticalphenomenon,J.
Geophy.
Res.
95,17,353-17,361.
Sornette,D.
,Johansen,A.
,andBouchard,J.
P.
1996,Stockmarketcrashes,precursorsandreplicas,J.
PhysiqueI6,167-175.
Sornette,D.
andJohansen,A.
1997,Largenancialcrashes,PhysicaA245,411-422.
Sornette,D.
2004,Criticalphenomenainnaturalsciences:chaos,fractals,self-organizationanddisorder:conceptsandtools,Springer,Heidelberg,528p.
Sotolongo-Costa,O.
,Antoranz,J.
C.
,Posadas,A.
,Vidal,F.
,Vasquez,A.
2000,Levyightsandearth-quakes,J.
Geophys.
Res.
27/13,1965-1968.
Spiegel,E.
A.
2009,ChaosandIntermittencyintheSolarCycle,SpaceSci.
Rev.
144,25-51.
Stanley,H.
E.
,Amaral,L.
A.
N.
,Buldyrev,S.
V.
,Gopikrishnan,P.
,Plerou,V.
,andSalinger,M.
A.
2002,Self-organizedcomplexityineconomicsandnance,inSelf-organizedcomplexityinthephysical,biologi-cal,andsocialsciences,ArthurM.
SacklerColloquia,(eds.
Turcotte,D.
,Rundle,J.
,andFrauenfelder,H.
),TheNationalAcademyofSciences:WashingtonDC,p.
2361-2365.
Starck,J.
-L.
,Murtagh,F.
,andBijaoui,A.
,1998,ImageProcessingandDataAnalysis,CambridgeUniver-Starck,J.
-L.
andMurtagh,F.
,2002(2ndedition2006):Astronomicalimageanddataanalysis,Springer,Stassinopoulos,D.
andBak,P.
1995,Democraticreinforcement.
Aprincipleforbrainfunction,Phys.
Rev.
E51,5033-5039.
Stauffer,D.
andAharony,A.
1994,IntroductiontoPercolationTheory,2nded.
,(London:TaylorandFrancis).
Stein,R.
S.
andYeats,R.
S.
1989,Hiddenearthquakes,ScienticAmerican(June1989issue),p.
48-57.
Stelzer,B.
,Flaccomio,E.
,Briggs,K.
,Micela,G.
,Scelsi,L,Audard,M.
,Pillitteri,I.
,andG¨udel,M.
2007,AstatisticalanalysisofX-rayvariabilityinpre-mainsequenceobjectsoftheTaurusmolecularcloud,Astron.
Astrophys.
468,463-475.
Stern,B.
E.
andSvennson,R.
1996,Evidencefor"chainreaction"inthetimeprolesofgamma-raybursts,Astrophys.
J.
469,L109-L113.
Sturrock,P.
A.
andUchida,Y.
1981,Coronalheatingbystochasticmagneticpumping,Astrophys.
J.
246,331-336.
Su,Y.
,Gan,W.
Q.
,andLi,Y.
P.
2006,AstatisticalstudyofRHESSIares,SolarPhys.
238,61-72.
Sundkvist,D.
,Krasnoselskikh,V.
,Shukla,P.
K.
,Vaivads,A.
,Andre,M.
,Buchert,S.
,Reme,H.
2005,Insitumulti-satellitedetectionofcoherentvorticesasamanifestationofAlfvenicturbulence,Nature436,Issue7052,825-828.
Sutherland,P.
G.
,Weisskopf,M.
C.
,andKahn,S.
M.
1978,Short-termtimevariabilityofCygnusX-1.
IIAstrophys.
J.
219,1029-1037.
Tadic,B.
andDhar,D.
1997,Emergentspatialstructuresincriticalsandpiles,Phys.
Rev.
Lett.
79/8,1519-1522.
Tainaka,K.
,Fukawa,S.
,andMineshige,S.
1993,Spatialpatternformationofaninterstellarmedium,Publ.
Astron.
Soc.
Japan45,57-64.
Takalo,J.
1993,CorrelationdimensionofAEdata,Ph.
Lic.
Thesis,Laboratoryreport3,Dept.
Physics,UniversityofJyv¨askyl¨a.
Takalo,J.
,Timonen,J.
,Koskinen,H.
1993,CorrelationdimensionandafnityofAEdataandbiocolorednoise,Geophys.
Res.
Lett.
20/15,1527-1530.
Berlin;Electronicversionavailableathttp://www.
multiresolution.
com/cupbook.
html.
sityPress,Cambridge.
Electronicversionavailableathttp://www.
multiresolution.
com/cupbook.
html.
386ReferencesTakalo,J.
,Timonem,J.
,Klimas,A.
,Valdivia,J.
,andVassiliadis,D.
1999a,NonlinearenergydissipationinacellularautomatonmagnetotaileldmodelGeophys.
Res.
Lett.
26/13,1813-1816.
Takalo,J.
,Timonem,J.
,Klimas,A.
,Valdivia,J.
,andVassiliadis,D.
1999b,Acoupled-mapmodelforthemagnetotailcurrentsheet,Geophys.
Res.
Lett.
26/19,2913-2916.
Takeuchi,M.
,Mineshige,S.
,andNegoro,H.
1995,X-rayuctuationsfromblack-holeobjectsandselforganizationofaccretiondisks,Publ.
Astron.
Soc.
Japan47,617-627.
Takeuchi,M.
andMineshige,S.
1996,X-rayuctuationsfromblackholeobject:diskinaself-organizedcriticality,inInternat.
WorkshoponBasicPhysicsofAccretionDisks,p.
159-162.
Takeuchi,M.
andMineshige,S.
1997,X-rayuctuationsfromadvection-dominatedaccretiondiskswithacriticalbehavior,Astrophys.
J.
486,160-168.
Tam,S.
W.
Y.
,Chang,T.
,Chapman,S.
C.
,andWatkins,N.
W.
2000,Analyticaldeterminationofpower-lawindexfortheChapmanetal.
sandpile(FSOC)analogformagnetosphericactivity,Geophys.
Res.
Lett.
27/9,1367.
Tanaka,Y.
1989,BlackholesinX-raybinaries:X-raypropertiesofgalacticblackholecandidates,inESA23rdESLABSyposiumonTwoTopicsinX-RayAstronomy.
Vol.
1:X-RayBinaries,p.
3-13.
Tang,C.
,Wiesenfeld,K.
,Bak,P.
,Coppersmith,S.
,andLittlewood,P.
,1987,Phaseorganization,Phys.
Rev.
Lett.
58/12,1161-1164.
Tang,C.
andBak,P.
1988,Criticalexponentsandscalingrelationsforself-organizedcriticalphenomena,Phys.
Rev.
Lett.
60,2347-2350.
Tang,F.
,Howard,R.
,andAdkins,J.
M.
1984,Astatisticalstudyofactiveregions1967-1981,SolarPhys.
91,75-86.
Tashiro,M.
,Makishima,K.
,Ohashi,T.
,Sakao,T.
,andSansom,A.
E.
1991,Nonperiodicintensityvaria-tionsintheX-raypulsarGX301-2,MNRAS252,156-162.
Terradas,J.
,Oliver,R.
,andBallester,J.
L.
2004,Applicationofstatisticaltechniquestotheanalysisofsolarcoronaloscillations,ApJ614,435-447.
Terrell,N.
J.
Jr.
1972,Shot-noisecharacterofCygnusX-1pulsations,Astrophys.
J.
174,L35-L38.
Thompson,C.
andDuncan,R.
C.
1996,Thesoftgammarepeatersasverystronglymagnetizedneutronstars.
II.
Quiescentneutrino,X-ray,andAlfvenwaveemissionAstrophys.
J.
473,322-342.
Tranquille,C.
,Hurley,K.
,andHudson,H.
S.
2009,TheUlyssesCatalogofSolarHardX-RayFlares,SolarPhys.
258,141-166.
Tsuneta,S.
1995,Particleaccelerationandmagneticreconnectioninsolarares,Publ.
Astron.
Soc.
Japan47,691-697.
Turcotte,D.
L.
1997,FractalsandChaosinGeologyandGeophysics,CambridgeUniversityPress:Cam-bridge,NewYork(2ndedition).
Turcotte,D.
L.
1999,Self-organizedcriticality,Rep.
Prog.
Phys.
62,1377-1429.
Ueno,S.
,Mineshige,S.
,Negoro,H.
,Shibata,K.
,andHudson,H.
S.
1997,StatisticsofuctuationsinthesolarsoftX-rayemission,Astrophys.
J.
484,920-926.
Uritsky,V.
M.
andPudovkin,M.
I.
1998,Lowfrequency1/f-likeuctuationsoftheAEindexasapossiblemanifestationofself-organizedcriticalityinthemagnetosphere,Annal.
Geophys.
16/12,1580-1588.
Uritsky,V.
M.
,Klimas,A.
J.
,Vassiliadis,D.
,Chua,D.
,andParks,G.
2002,Scale-freestatisticsofspa-tiotemporalauroralemissionasdepictedbyPolarUVIimages:dynamicmagnetosphereisanavalanchingsystem,J.
Geophys.
Res.
1078/A12,SMP7-1,CiteID1426.
Uritsky,V.
M.
,Klimas,A.
J.
,andVassiliadis,D.
2003,Evaluationofspreadingcriticalexponentsfromthespatiotemporalevolutionofemissionregionsinthenighttimeaurora,Geophys.
Res.
Lett.
30/15,SSC7-1,CiteID1813.
Uritsky,V.
M.
,Klimas,A.
J.
,andVassiliadis,D.
2006,Criticalnite-sizescalingofenergyandlifetimeprobabilitydistributionsofauroralemissions,Geophys.
Res.
Lett.
33/8,CiteIDL08102.
Uritsky,V.
M.
,Paczuski,M.
,Davila,J.
M.
,andJones,S.
I.
2007,Coexistenceofself-organizedcriticalityandintermittentturbulenceinthesolarcorona,Phys.
Rev.
Lett.
99/2,25001-25004.
Uttley,P.
andMcHardy,I.
M.
2001,Theux-dependentamplitudeofbroadbandnoisevariabilityinX-raybinariesandactivegalaxies,MNRAS323,L26-L30.
Uttley,P.
,McHardy,I.
M.
M.
,andVaughan,S.
2005,Non-linearX-rayvariabilityinX-raybinariesandactivegalaxies,MNRAS359,345-362.
References387Uzdensky,D.
A.
2007,Thefastcollisionlessreconnectionconditionandtheself-organizationofsolarcoronalheating,Astrophys.
J.
671,2139-3153.
Vainio,R.
,Laitinen,T.
,andFichtner,H.
2003,AsimpleanalyticalexpressionforthepowerspectrumofcascadingAlfvenwavesinthesolarwind,Astron.
Astrophys.
407,713-723.
VanderZiel,A.
1950,Onthenoisespectraofsemi-conductornoiseandofickereffect,Physica16/4,359-372.
Vandewalle,N.
andAusloosM.
1995,Self-organizedcriticalityinphylogenetic-liketreegrowths,J.
PhysiqueI5,1011-1025.
VanHouten,C.
J.
,vanHouten-Groeneveld,I.
,Herget,P.
,andGehrels,T.
1970,ThePalomar-Leidensurveyoffaingminorplanets,Astron.
Astrophys.
Suppl.
Ser.
2/5,339-448.
VanHollebeke,M.
A.
I.
,MaSungL.
S.
,andMcDonaldF.
B.
1975,Thevariationofsolarprotonenergyspectraandsizedistributionwithheliolongitude,SolarPhys.
41,189-223.
Vassiliadis,D.
,Anastasiadis,A.
,Georgoulis,M.
,andVlahosL.
1998,Derivationofsolararecellularautomatamodelsfromasubsetofthemagnetohydrodynamicequations,Astrophys.
J.
509,L53-L56.
Vaughan,B.
A.
andNowak,M.
A.
1997,X-rayvariabilitycoherence:Howtocomputeit,whatitmeans,andhowitconstrainsmodelsofGX339-4andCygnusX-1,Astrophys.
J.
474,L42-L46.
Vecchio,A.
,Primavera,L.
,Carbone,V.
,andSorriso-Valvo,L.
2005a,Periodicbehaviorandstochasticuctuationsofsolaractivity:properorthogonaldecompositionanalysis,SolarPhys.
229,359-372.
Vecchio,A.
,Carbone,V.
,Lepreti,F.
,Primavera,L.
,Sorriso-Valvo,L.
,Veltri,P.
,Alfonsi,G.
,andStraus,T.
2005b,Properorthogonaldecompositionofsolarphotosphericmotions,Phys.
Rev.
Lett.
95/6,id.
061102.
Veltri,P.
1999,MHDturbulenceinthesolarwind:self-similarity,intermittencyandcoherentstructures,PlasmaPhys.
ControlledFusion41,A787-A795.
Veltri,P.
,Malara,F.
,andPrimavera,L.
1999,NonlinearAlfvenWaveInteractionwithLarge-ScaleHelio-sphericCurrentSheet,Lect.
NotesPhysics(SpringerVerlag:Berlin),536,222-250.
Verdes,P.
F.
,Parodi,M.
A.
,Granitto,P.
M.
,Navone,H.
D.
,Piacentini,R.
D.
andCeccatto,H.
A.
2000,Pre-dictionsofthemaximumamplitudeforsolarcycle23anditssubsequentbehaviorusingnonlinearmethods,SolarPhys.
191,419-425.
Veronig,A.
,Messerotti,M.
,andHanslmeier,A.
2000,Determinationoffractaldimensionsofsolarradiobursts,Astron.
Astrophys.
357,337-350.
Veronig,A.
,Temmer,M.
,Hanslmeier,A.
,Otruba,W.
,andMesserotti,M.
2002a,TemporalaspectsandfrequencydistributionsofsolarX-rayares,Astron.
Astrophys.
382,1070-1080.
Veronig,A.
,Vrsnak,B.
,Dennis,B.
R.
,Temmer,M.
,Hanslmeier,A.
,andMagdalenic,J.
2002b,TheNe-uperteffectinsolararesandimplicationsforcoronalheating,inMagneticcouplingofthesolaratmosphere,(eds.
HuguetteSawaya-Lacoste),EuropeanSpaceAgency(ESA)SP-505,ESTECNo-ordwijk,TheNetherlands,p.
599-602.
Veronig,A.
,Temmer,M.
,andHanslmeier,A.
2002d,Frequencydistributionsofsolarares,HvarObser-vatoryBulletin26/1,7-12.
Veronig,A.
,Vrsnak,B.
,Dennis,B.
R.
,Temmer,M.
,Hanslmeier,A.
,andMagdalenic,J.
2002c,Investiga-tionoftheNeuperteffectinsolarares,Astron.
Astrophys.
392,699-712.
Vespignani,A.
,Zapperi,S.
,andPietronero,L.
1995,Renormalizationapproachtotheself-organizedcriticalbehaviorofsandpilemodels,Phys.
Rev.
E51/3,1711-1724.
Vespignani,A.
andZapperi,S.
1997,Orderparameterandscalingeldsinself-organizedcriticality,Phys.
Rev.
Lett.
78/25,4793-4796.
Vespignani,A.
andZapperi,S.
1998,Howself-organizedcriticalityworks:Auniedmean-eldpicture,Phys.
Rev.
E.
57/6,6345-6362.
Vieira,L.
E.
A.
,Gonzalez,W.
D.
,Echer,E.
,Guarnieri,F.
L.
,Prestes,A.
,Gonzalez,A.
L.
C.
,Santos,J.
C.
,DalLago,A.
andSchuch,N.
J.
2003,Multi-ScaleAnalysisoftheGeomagneticSymmetricIndex(sym),SolarPhys.
217,383-394.
Vigoroux,A.
andDelache,Ph.
1993,Fourierversuswaveletanalysisofsolardiametervariability,Astron.
Astrophys.
278,607-616.
Vilmer,N.
andTrottet,G.
1997,SolarareradioandhardX-rayobservationsandtheavalanchemodel,LectureNotesinPhysics483(ed.
G.
Trottet,Springer:Berlin),p.
28-52.
388ReferencesVlahos,L.
,Georgoulis,M.
,Kliuiving,R.
,andPaschos,P.
1995,Thestatisticalare,Astron.
Astrophys.
299,897-911.
Vlahos,L.
2002,Statisticalpropertiesoftheevolutionofsolarmagneticelds,inSOLMAG2002.
Proc.
MagneticCouplingoftheSolarAtmosphere,Euroconf.
andIAUColl188,(ed.
H.
Sawaya-Lacoste),EuropeanSpaceAgency(ESA)SP-505,ESTECNoordwijk,Netherlands,p.
105-112.
Vlahos,L.
,Fragos,T.
,Isliker,H.
,andGeorgoulis,M.
2002,Statisticalpropertiesoftheenergyreleaseinemergingandevolvingactiveregions,Astrophys.
J.
575,L87-L90.
Vlahos,L.
andGeorgoulis,M.
K.
2004,Ontheself-similarityofunstablemagneticdiscontinuitiesinsolaractiveregions,Astrophys.
J.
603,L61-L64.
Voges,W.
,Atmanspacher,H.
,andScheingraber,H.
1987,Deterministicchaosinaccretionsystems:Anal-ysisoftheX-rayvariabilityofHerculesX-1,Astrophys.
J.
320,794-802.
Walsh,R.
M.
,Bell,G.
E.
,andHood,A.
W.
1997,Discreterandomheatingeventsincoronalloops,SolarPhys.
171,81-91.
Wang,H.
N.
,Cui,Yl.
M.
,andHe,H.
2009,Alogisticmodelformagneticenergystorageinsolaractiveregions,ResearchinAstron.
Astrophys.
9/6,687-693.
Wang,J.
X.
,Wang,H.
,Tang,F.
,Lee,J.
W.
,andZirin,H.
1995,Fluxdistributionofsolarintranetworkmagneticelds,SolarPhys.
160,277-288.
Warzawski,L.
andMelatos,A.
2008,Acellularautomatonmodelofpulsarglitches,MNRAS390,175-191.
Watkins,N.
W.
,Chapman,S.
C.
,Dendy,R.
O.
,andRowlands,G.
1999,Robustnessofcollectivebehaviorinstronglydrivenavalanchemodels:magnetosphericimplications,Geophys.
Res.
Lett.
26/16,2617-2620.
Watkins,N.
W.
,Oughton,S.
,andFreeman,M.
P.
2001a,WhatcanweinferabouttheunderlyingphysicsfromburstdistributionsobservedinanRMHDsimulation,Planet.
SpaceScience49,1233-1237.
Watkins,N.
W.
,Freeman,M.
P.
,Chapman,S.
C.
,andDendy,R.
O.
2001b,TestingtheSOChypothesisforthemagnetosphere,J.
Atmos.
Solar-Terr.
Phys.
63,1435-1445.
Watkins,N.
W.
2002,Scalinginthespaceclimatologyoftheauroralindices:IsSOCtheonlypossibledescription,Nonlin.
ProcessesGeophys.
9,389-397.
Watkins,N.
W.
,Chapman,S.
C.
,Rosenberg,S.
J.
,Uritsky,V.
M.
,Davila,J.
M.
,andJones,S.
I.
2009,Com-mentonCoexistenceofSelf-OrganizedCriticalityandIntermittentTurbulenceintheSolarCorona,Phys.
Rev.
Lett.
103,039501-1.
Watari,S.
1995,Fractaldimensionsofsolaractivity,SolarPhys.
158,365-377.
Watari,S.
1996a,Fractaldimensionsofthetimevariationofsolarradioemission,SolarPhys.
163,371-388.
Watari,S.
1996b,Chaoticbehaviorofthenorth-southasymmetryofsunspotsSolarPhys.
163,259-266.
Wentzel,D.
G.
andSeiden,P.
E.
1992,Solaractiveregionsasapercolationphenomenon,Astrophys.
J.
390,280-289.
Westbrook,C.
D.
,Ball,R.
C.
,Field,P.
R.
,andHeymseld,A.
J.
2004,Theoryofgrowthbydifferentialsedimentation,withapplicationtosnowakeformation,Phys.
Rev.
E70/2,id.
021403.
Wheatland,M.
S.
andSturrock,P.
A.
1996,Avalanchemodelsofsolararesandthedistributionofactiveregions,Astrophys.
J.
471,1044-1048.
Wheatland,M.
S.
,Sturrock,P.
A.
,andMcTiernan,J.
M.
1998,Thewaiting-timedistributionofsolararehardX-raybursts,Astrophys.
J.
509,448-455.
Wheatland,M.
S.
andEddey,S.
D.
1998,Modelsforarestatisticsandthewaiting-timedistributionofso-lararehardX-raybursts,inProc.
NobeyamaSymposium,"SolarPhysicswithRadioObservations",(eds.
Bastian,T.
,Gopalswamy,N.
,andShibasaki,K.
),NROReport479,p.
357-360.
Wheatland,M.
S.
andGlukhov,S.
1998,Flarefrequencydistributionsbasedonamasterequation,Astro-phys.
J.
494,858-863.
Wheatland,M.
S.
andUchida,Y.
1999,Frequency-energydistributionsofaresandactiveregiontransientbrightenings,SolarPhys.
189,163-172.
Wheatland,M.
S.
2000a,Theoriginofthesolararewaiting-timedistribution,Astrophys.
J.
536,L109-L112.
Wheatland,M.
S.
2000b,Dosolararesexhibitaninterval-sizerelationshipSolarPhys.
191,381-389.
References389Wheatland,M.
S.
2000c,Flarefrequency-sizedistributionsforindividualactiveregions,Astrophys.
J.
532,1209-1214.
Wheatland,M.
S.
2001,Ratesofaringinindividualactiveregions,SolarPhys.
203,87-106.
Wheatland,M.
S.
andLitvinenko,Y.
E.
2001,Energybalanceinthearingsolarcorona,Astrophys.
J.
557,332-336.
Wheatland,M.
S.
2002,Distributionofareenergiesbasedonindependentreconnectingstructures,SolarPhys.
208,33-42.
Wheatland,M.
S.
andLitvinenko,Y.
E.
2002,Understandingsolararewaiting-timedistributions,SolarPhys.
211,255-274.
Wheatland,M.
S.
2003,Thecoronalmassejectionwaiting-timedistribution,SolarPhys.
214,361-373.
Wheatland,M.
S.
andCraig,I.
J.
D.
2003,Towardareconnectionmodelforsolararestatistics,Astrophys.
J.
595,458-464.
Wheatland,M.
S.
2004,ABayesianapproachtosolarareprediction,Astrophys.
J.
609,1134-1139.
Wheatland,M.
S.
2006,Arate-independenttestforsolararesympathy,SolarPhys.
236,313-324.
Wheatland,M.
S.
andCraig,I.
J.
D.
2006,Includingaresympathyinamodelforsolararestatistics,SolarPhys.
238,73-86.
Wheatland,M.
S.
2008,Theenergeticsofaaringsolaractiveregionandobservedarestatistics,Astro-phys.
J.
679,1621-1628.
Wheatland,M.
S.
2009,MonteCarlosimulationofsolaractive-regionenergy,SolarPhys.
255,211-227.
Wiesenfeld,K.
,Theiler,J.
,andMcNamara,B.
1990,Self-organizedcriticalityinadeterministicautoma-ton,Phys.
Rev.
Lett.
65/8,949-952.
Wiita,P.
J.
andXiong,Y.
1998,Self-organizedcriticalityinaccretiondiscs,inTheoryofblackholeac-cretiondisks,eds.
M.
A.
Abramowicz,G.
Gjornsson,andJ.
E.
Pringle),CambridgeUniversityPress,p.
274-283.
WillingerW.
,Govindan,R.
,Jamin,S.
,Paxson,V.
,andShenker,S.
2002,ScalingphenomenaintheIn-ternet:criticallyexaminingcriticality,inSelf-organizedcomplexityinthephysical,biological,andsocialsciences,ArthurM.
SacklerColloquia,(eds.
Turcotte,D.
,Rundle,J.
,andFrauenfelder,H.
),TheNationalAcademyofSciences:WashingtonDC,p.
2573-2580.
Willis,J.
C.
andYule,G.
U.
1922,Somestatisticsofevolutionandgeographicaldistributioninplantsandanimals,andtheirsignicance,Nature109,177-179.
Willson,R.
C.
andMordvinov,A.
V.
1999,Time-frequencyanalysisoftotalsolarirradiancevariations,Geophys.
Res.
Lett.
26/24,3613-3616.
Wolfram,S.
2002,Anewkindofscience,WolframMedia,ISBN1-57955-008-8.
Woods,J.
W.
2006,Multi-DimensionalSignal,Image,andVideoProcessingandCoding,ElsevierandAcademicPress,NewYork.
Wu,S.
andZhang,J.
1992,Self-organizedrocktexturesandmultiringstructuresintheDuoluncrater,LPIcontributions790,81.
Xapsos,M.
A.
,Stauffer,C.
,Barth,J.
L.
,andBurke,E.
A.
2006,Solarparticleeventsandself-organizedcriticality:AredeterministicpredictionsofeventspossibleIEEETransactionsonnuclearscience53/4,1839-1843.
Xiong,Y.
,Wiita,P.
J.
,andBao,G.
2000,Modelsforaccretion-diskuctuationsthroughself-organizedcriticalityincludingrelativisticeffects,fromPubl.
Astron.
Soc.
Japan52,1097-1107.
Xu,R.
X.
,Tao,D.
J.
,andYang,Y.
2006,Thesuperaresofsoftgamma-rayrepeaters:giantquakesinsolidquarkstars,Mon.
Not.
RoyalAstron.
Soc.
373,L85-L89.
Yashiro,S.
,Akiyama,S.
,Gopalswamy,N.
andHoward,R.
A.
2006,Differentpower-lawindicesinthefrequencydistributionsofareswithandwithoutcoronalmassejections,Astrophys.
J.
650,L143-L146.
Yeh,W.
J.
,andKao,Y.
H.
(1984),Measurementsofux-owand1/fnoiseinsuperconductors,Phys.
Rev.
Lett.
53/16,1590-1593.
Yeh,,W.
J.
,Ding,M.
,andChen,P.
2005,Waitingtimedistributionofcoronalmassejections,ChineseJ.
Astron.
Astrophys.
bf5,193-197.
Yonehara,A.
,Mineshige,S.
,andWelsh,W.
F.
1997,Cellular-automatonmodelforickeringofcata-clysmicvariables,Astrophys.
J.
486,388-396.
390ReferencesYoshida,F.
,Nakamura,T.
,Watanab,J.
,Kinoshita,D.
,andYamamoto,N.
,2003,Sizeandspatialdistribu-tionsofsub-kmmain-beltasteroids,Publ.
Astron.
Soc.
Japan55,701-715.
Yoshida,F.
andNakamuraT.
2007,SubaryMainBeltAsteroidSurvey(SMBAS)–Sizeandcolordistribu-tionsofsmallmain-beltasteroids,Planet.
SpaceScience55,113-1125.
Young,C.
A.
,andGallagher,P.
T.
2008,Multiscaleedgedetectioninthecorona,SolarPhys.
248,457-469.
Young,K.
andScargle,J.
D.
1996,Thedrippinghandrailmodel:Transientchaosinaccretiondisks,As-trophys.
J.
468,617-632.
Young,M.
D.
T.
andKenny,B.
G.
1996,Aregiantpulsesevidenceofself-organizedcriticality,inPulsars:Problemsandprogress,ASPConf.
Ser.
105,(eds.
S.
Johnston,M.
A.
Walker,andM.
Bailes),ASP:SanFrancisco,p.
179.
Young,C.
A.
,Meredith,D.
C.
,andRyan,J.
M.
1995,Acompactrepresentationofgamma-raybursttimeseries,Astrophys.
J.
Suppl.
Ser.
231,119-122.
Yurovsky,Y.
andMagun,A.
1996,Thesignsofnon-periodicaccelerationofelectronsinsolaractiveregions,SolarPhys.
166,433-436.
Yurovsky,Y.
1997,Onmechanismsformodulatingtheradioemissionofsolarares,Astron.
Rep.
41/6,845-856.
Yurovsky,Y.
andMagun,A.
1998,Onthenatureofmodulationofradioemissionduringsolarares,SolarPhys.
180,409-426.
Zanette,D.
H.
2007,Multiplicativeprocessesandcitysizes,inTheDynamicsofComplexUrbanSystems.
AnInterdisciplinaryApproach,(eds.
S.
Albeverio,D.
Andrey,P.
Giordano,andA.
Vancheri,eds.
(Springer,Berlin,2007).
Zapperi,S.
,Lauritsen,B.
K.
,andStanley,H.
E.
1995,Self-organizingbranchingprocesses:Mean-eldthe-oryforavalanches,Phys.
Rev.
Lett.
75/22,4071-4074.
Zebker,H.
A.
,Maroufm,E.
A.
,andTyler,G.
L.
1985,Saturn'sringsparticlesizedistributionsforathinlayermodel,Ikarus64,531-548.
Zhang,Y.
C.
1989,Scalingtheoryofself-organizedcriticality,Phys.
Rev.
Lett.
63/5,470-473.
Zhou,Y.
,Matthaeus,W.
H.
,andDmitruk,P.
2004,Magnetohydrodynamicturbulenceandtimescalesinastrophysicalandspaceplasmas,Rev.
Mod.
Phys.
76,1015-1035.
Zieve,R.
J.
,Rosenbaum,T.
F.
,Jaeger,H.
M.
,Seidler,G.
T.
,Crabtree,G.
W.
,andWelp,U.
1996,Vortexavalanchesatonethousandththesuperconductingtransitiontemperature,Phys.
Rev.
B.
53/17,11849-11854.
Zipf,G.
K.
1949,HumanBehaviorandthePrincipleofLeastEffort,CambridgeMA,Addison-Wesley.
Zirker,J.
B.
andCleveland,F.
M.
1993a,Nanoaremechanisms:twistingandbraiding,SolarPhys.
144,341-347.
Zirker,J.
B.
andCleveland,F.
M.
1993b,Avalanchemodelsofactiveregionheatingandaring,SolarPhys.
145,119-128.
Indexabacinate,10abcedarian,10abderian,10Abelianproperty,44Abramenko,V.
I.
,275,276,330accelerationtime,313accretion,22accretiondisks,29,33,78,104,117,187,245,291,293,295,341waitingtimedistributions,167ACE,164,332acorn,46activeregions,259,262,274,275,277,278,301,303percolation,339powerspectrum,276size,25,104,280,308Adamic,L.
,89adaption,12additiveprocesses,135,288additivity,1,2denition,348AEbursts,334AEindex,20,22,57,58,215,318,319,3291/fspectrum,318waitingtimes,152aerosols,15,18ageofuniverse,289agent-basedmodels,11,50aggregateproduction,50aging,12AGN,32,34,128,246,291,296,297Aharony,A.
,269Akabane,K.
,26,233,234Aki,K.
,15,16Aletti,V.
,26,231,233,279Alexander,D.
,230Alexandrova,O.
,333Alfvenspeed,66,304denition,348Alfvenwaves,28,332Alfven,H.
,317Alfvenicresonances,319Alfvenictransittime,305Alstrom,P.
,44,47Altman,S.
,201Aly,J.
J.
,330Amari,T.
,330Ambruster,C.
W.
,165ammoniaiceclouds,324Amp`ere'slaw,58,299Anastasiadis,A.
,28,313Andersen,J.
V.
,45Anderson,R.
M.
,15Andradecreeps,8Andrade,R.
F.
S.
,15,18Angelopoulos,V.
,19,20,58,214–216,334,335,337angleofrepose,5,57Anglo-AustralianObservatory,289Angstrm,denition,347angularmomentum,3,80,242,244,289accretiondisks,295,296pulsars,294transport,295animalroadkill,8animalskin,324anisotropic,44,67annealeddisorder,8annihilationelectron-positron,220Ansari,M.
H.
,34Antipov,S.
V.
,325Antonova,E.
E.
,334Archimedianspiral,316areallingfactor,270areascaling,89,231Argyle,E.
,32,33,242,243Armstrong,J.
C.
,336aromaticchemicals,338Arth/Goldau,17ArthurConanDoyle(1859–19,321Arzner,K.
,28,29,33,165–167,240,242Aschwanden,M.
J.
,24–29,75,89,95,98,125,126,144,155–158,166,187–190,194–197,221,230–232,234–236,259,260,263–268,270–272,279,280,303,306,308,313,314,332Aschwanden,P.
D.
,75,259,260,264–268,270–272Asgari-Targhi,M.
,303Asimov,I.
,37asteroidbelt,282,290,324asteroidEros,282asteroidimpact,14asteroidorbits,340asteroids,22denition,347astrophysicalsystem,1392Indexatmosphericshowers,296atomicenergy,290atomicscales,251atomicspinips,340atoms,326attractors,33,44,337AUindex,215Audard,M.
,28–30,33,165,166,208,239–241aurorae,19,151,152,322auroralblobs,19,104,152auroraldisplays,318auroralimages,19,20auroralkilometricradiation,314Ausloos,M.
,15auto-correlationfunction,122,124,125,127,130autocatalytic,8autocatalyticnetworks,324autoregressivemodel,178B¨ottcher,S.
,17,53,54Benardcells,324,326Benardconvection,5Babcock,K.
L.
,8Bachelery,P.
,15,18backgroundsubtraction,146,212,228Bai,T.
,25Baiesi,M.
,161Bak,P.
,1,4–8,11–19,22,34,38,39,41–44,47,50–54,56,78,133,134,138,150,151,153,159,249,250,268,321Bak-Sneppenmodel,14,52Baker,D.
N.
,22Balbus,S.
A.
,295Balbus–Hawleyinstability,80,295,296Balke,A.
C.
,260,262,339ballerinaskirt,316,317balloon-borneinstrument,217Balogh,A.
,163Barabasi,A.
L.
,15Bargatze,L.
F.
,19bark,249Barkhauseneffect,8Barnsley,M.
,250Bartolozzi,M.
,11,13,140Baryshev,Y.
,250,289,326Bassler,I.
E.
,8Bastian,T.
S.
,314BATSE/CGRO,154,155,157,187,218,221,244Baudin,F.
,187Baumann,I.
,278Baumjohann,W.
,318Bayesianblocks,127,143,154,159,163Bayesianstatistics,142,180,274BCS/SMM,226,227bearmarkets,127Belanger,E.
,25Belousov–Zhabotinskyreaction,324Belovsky,M.
N.
,238Beltrami,E.
,94Benz,A.
O.
,24–26,28,75,195,229,231,235,275,308,313,342Berger,B.
R.
,15,18Berger,M.
A.
,303Berghmans,D.
,198,275,276,279Bernardes,A.
T.
,8Berrilli,F.
,262betafunction,310Bethe–Heitlerbremsstrahlungcross-section,309,312Bevington,P.
R.
,112,117Biesecker,D.
A.
,26,154,155,218bigbangmodel,34,289,322bin-freepowerlawt,214binarieslow-massbinaries,293low-massX-raybinaries,341ScorpiusX-1,341binarydata,251binomialcoefcients,112binomialdistribution,112binomialequation,112biodiversity,14biologicalextinction,13biologicalsystem,5,10biologicaltaxa,89biomacromolecules,324bipasslter,180bipolarregions,278birdyingformation,15,324Birkeland,K.
W.
,15,18blackholes,31–33,117,127,134,139,243,245,290,291,295CygnusX-1,31,32,78,128,136,167GX301-1,128GX339-4,128waitingtimedistributions,167blazars,32,34,243,246,290,291noisespectrum,246,293opticalemission,291blinkers,46boat,46Bocchialini,K.
,187Bode'slaw,324Boffetta,G.
,28,153,159,332,334Bohrradius,denition,347boilingliquid,5boilingwater,324Boltzmannconstant,denition,347Index393Boltzmanndistribution,326Boltzmann,L.
,321bonemarrowcells,8Boole,G.
,201Booleanagents,50Bornmann,P.
L.
,228Borovsky,J.
E.
,153,335Bortkiewicz,L.
J.
,8bottom-upscenario,289Bouchard,J.
P.
,51bound-boundemission,229Bovelet,B.
,260box-countingmethod,257,260boxcarsmoothing,178Boyd,P.
T.
,342Bradbury,R.
,3braidingmodels,73brain,15branchingprocessmodels,77branchingtheory,338Brandenburg,A.
,343Brault,J.
W.
,127,186breathing,15Bregman,J.
N.
,246bremsstrahlung,23,168,217,220,224,233,244,256,308,313accretiondisks,295cross-section,309,312Bretz,M.
,6,8brightpoints,226powerspectrum,276Bristow,W.
,153brittlefailure,15Bromund,K.
R.
,26,218,220browndwarf,290Brown,A.
,165Brown,J.
C.
,308,309Brown,R.
,126,326Brown,S.
R.
,54Brownianmotion,37,253,326,327,341powerspectrum,328Bruch,A.
,31,33Bruno,R.
,333BTWmodel,25,39,41,50,57,63,288,290,322Buchler,J.
R.
,341,342Buchlin,E.
,147,148,155,178,182,276,330Bumba,V.
,153buoyancy,262,290buoyantuxtubes,277buoyantmagneticuxtubes,322,324,339Burlaga,L.
F.
,136Burridge,R.
,17,53burstybulkowevents,19,20,58,215burstyinput,323burstypulses,329burstyreconnection,334bursty-owturbulence,334Butler,C.
J.
,165butterydiagram,191butteryeffect,3,340CIVline,233Cadavid,A.
C.
,191,260,273cadence,195Cairns,I.
H.
,32,33,244,314Caldarelli,G.
,8Camazine,S.
,5,324Cambrianera,14campre,18,290cancer,12Cannizzo,J.
K.
,341Cantordust,250Cantorset,251Cantor,G.
,249cardrivers,290Carbone,V.
,148,150,333cardgames,112Carlson,J.
M.
,17,44,54Carreras,B.
A.
,8Carringtonlongitude,316carryingcapacity,9cars,290casinogames,112Cassak,P.
A.
,29,308Cassinidivision,283,284Castleman,K.
R.
,194catastrophes,3,17,127,326Cauchy,A.
L.
,249CCDreadout,256,258cellculture,8cellularautomatonmodels,4,22,25,31,37,41,47,57,105,268accretiondisks,139,295anisotropic,67diffusion,329isotropic,63particleacceleration,313pulsarglitches,244substorms,338center-to-limbangle,261center-to-limbdependence,270centrallimittheorem,142centrifugalforce,294cepheids,191FU,191ceramics,8Ceres,282Chae,J.
C.
,330394Indexchainreaction,11,89,94,290,295Challet,D.
,51Chamel,N.
,293Chan,Y.
T.
,187Chang,H.
K.
,243Chang,S.
,326Chang,T.
S.
,19,22,153,319,337channeling,277chaostheory,3chaoticows,334chaoticorbits,32,312chaoticsystems,3,54,340Chapman,S.
C.
,19,22,57–59,152,214–216,319,333,334,338Charbonneau,P.
,25,63,65,72–76,100,101,107–109,139,148,159,161,268,269,298,299,329,343chargestate,348Chatterjee,T.
N.
,343Che,X.
,8chemicalreactionrate,14chemicalreactions,340Chen,K.
,4,17,38,47,50,54,249,250Chepurnov,A.
,335,336Chessa,A.
,44Chialvo,D.
R.
,15Chian,A.
C.
,343Chou,Y.
P.
,28,303Christe,S.
,24,26,218,221Christensen,K.
,44,54,56chromosphere,23,26,259,277chromosphericevaporation,23,28,29,224,228,308chromosphericheating,224chromosphericnetwork,262,278chromosphericoscillations,187chromospherictemperature,262Chumak,O.
V.
,278CilibertoS.
,8Ciprini,S.
,32,34,243,246,247,291,293citysizedistribution,9citysizes,13,89Clar,S.
,56Cleveland,F.
M.
,303climatechanges,22climateuctuations,14,15,18climatephenomena,22Cliver,E.
,26,237,238cloudformation,14,15,18clouds,136,249clumpingalgorithm,278CLUSTER,332,335clusterization,146,151,153,164,334CME,19,25,198,228,233,237,277,299,315,322angularsize,198brightness,198geoeffective,322geometricaspectratio,198latitude,198location,198shock,317velocity,198waitingtimedistributions,162coagulation,295coalescence,330coastline,249,251coffeepercolation,338Cognard,I.
,32,33,242,243coherencelength,303coherentgrowthprocess,288coherentnoise,151coherentradioemission,313cointosses,112collaborativeevolution,14Colless,M.
,291collisions,3,22,39,282–284,290,311,324,326,3282-body,282Collura,A.
,165colorspectrum,126communicationsatellite,318competitivegame,51complexempiricalorthogonalfunctionanalysis,191complexsystems,37complexitymeasure,273complexityoftimeprole,253Comptonemission,291comptonization,32concreteblender,5condensedmatterphysics,293conductiveloss,308conductor,129Conlon,P.
A.
,273–275connectedness,338conservationlaws,44conservationofangularmomentum,289conservativesystem,40,64Consolini,G.
,19,20,22,58,319,334,337Cont,R.
,51Cont-Bourchaudpercolationmodel,11continentaldrift,290continentalshelf,18continuityequation,305continuumlimit,83,105contributiondiversity,273Index395convection,326Earth,16solar,63,329,343convectionzone,299,323convectivestars,299convectiveturbulence,343conveyerbelt,4Conway,J.
H.
,46cooling,229coronapowerspectrum,276softX-rays,115coronagraphimages,198coronalapproximation,denition,348coronalheating,25,29,70,165,195,211,303coronalhole,315coronalviscosity,denition,348Corral,A.
,8correlationdimensions,342correlationfunction,274correlationlength,303,330,331,337correlations,211,287exponential-growthmodel,88logistic-growthmodel,100parameters,304,311powerlaw-growthmodel,93cosmicrays,89,290,296,322spectrumknee,296cosmicvoids,268cosmologicalmodel,289cosmology,32Cote,P.
J.
,8cottonprice,9,10,13Cottrell,A.
H.
,8Coulomblogarithm,denition,348countrates,122,123coupledpendulums,39,53Cowie,P.
A.
,54Cox,D.
,140–142Crabpulsar,31,242,243,294crackpropagationmodel,17,54Craig,I.
J.
D.
,28,141,161,305craters,15,23,277creeks,251Cretaceous-Tertiaryera,12Creutz,M.
,47criticalangle,303criticalcurrent,22,303criticalenergy,303criticalexponents,44,56criticalslope,3,5,17,290criticalstate,4criticalthreshold,288,339Crosby,N.
B.
,23,26,27,65,89,104,154,157,158,161,214,215,218,220,221,311Cross,C.
A.
,23,281cross-correlationfunction,127crossoverfrequency,45Crow,E.
L.
,136crystals,250,324cumulativefrequencydistributions,203current,129currentcores,163currentdensity,58currentdisruptions,19,20,58currentsheets,22,68,163,312,315,319,330geometry,304heliospheric,317cut-and-spliceoperation,73cutofffrequency,124cutoffs,212,237sizedistribution,44,67,102waitingtimedistribution,152CV,29,31,33,80,127,136,191cyclon-likewhirls,325cyclotronresonance,332cyclotron-resonanceacceleration,296CygnusX-1,185,186,243,245Czerny,B.
,128DaRocha,D.
,32,34,289daSilva,L.
,15damping,38darkmatter,268darkmatterclustering,289darkmatterhalos,289Darwin,C.
,12,51Das,T.
K.
,26,234,235datapreprocessing,212Datlowe,D.
W.
,26,217,218Daubechies,I.
,187Dauphin,C.
,313Davidsen,J.
,150daysidemagnetopause,317DCcurrent,129DCelectriceld,312DCglow,8deBoer,J.
,53delaTorre,A.
,53deMichelis,P.
,22,337deSousaVieira,M.
,54de-excitationlines,308dead-timecorrections,212Deb,S.
,191,193Debyelength,denition,348decimetricmillisecondspikes,126,234,236,330decimetricpulsations,126,234396Indexdecimetricradioemission,217,235,256decimetrictypeIIIbursts,234,256degreesoffreedom,340Delachem,Ph.
,187Dendy,R.
O.
,31,33,58,329Dennis,B.
R.
,23,24,26,63,65,201,218,224denoising,178,182densityuctuations,290densitymodels,195deoxyribonucleicacid,9depinningmodel,17detectionmethods,171detectionofevents,147,171CME,198Fourier-lter,182highpasslter,180image-based,193peak-based,182principalcomponentanalysis,191threshold-based,174,175,194wavelet-based,187deterministicchaos,340devil'sstaircase,52Devonianera,13Dhar,D.
,44Dickman,R.
,44dictionary,10diehard,46differentialemissionmeasuredistribution,306differentialfrequencydistributions,202differentialprobabilitydistribution,120diffusion1-D,327anomalous,52,151,329,333Brownian,326coefcient,109,328,330diffusion-limitedaggregation,324diffusionentropy,161diffusionequation,49,108fractal,262gradual,79,245,296heattransport,327hyper-diffusion,109,329self-organization,326viscous,79diffusiveFermishockacceleration,296diffusivesecond-orderFermiacceleration,311diffusiveshockacceleration,311,313digitalimage,258digitalimageprocessing,194dikes,18dimensionaldiversity,273,274dinosaurs,14Diodati,P.
,15,18diodes,126,129dischargeplasma,8discretepoints,122diseasespread,14diseases,338diskdynamo,80dislocationnetwork,8dissipationdrivers,44dissipativesystem,2distractions,290distributionsbeta,121binomial,112Boltzmann,326differentialprobability,120exponential,84,96,119,121,140,207Galton,135gamma,121Gaussian,115,121,326log-normal,136,278Pearson's,121Poisson,117,118powerlaw,207probability,203pulsedurations,133rank-orderplots,206waitingtimes,142,148Zipfplot,208divergence-freeness,73,298Dmitruk,P.
,28,313,330,332DNA,9domainwallboundaries,44DominquezCerdena,I.
,278donorstar,29double-ribbonare,23DowJonesindex,11Doxas,I.
,22,337Doyle,A.
C.
,321drainagenetworks,14,15Drake,J.
F.
,26,226,228Drake,J.
J.
,165drawingsystem,290DreicerelectricDCeld,313Dreicereld,denition,348drift-kineticAlfvenvortexmotions,335drippingfaucetmodel,22drippinghandrailmodel,341Drossel,B.
,8,19,56droughts,127drunkardrandom-walk,328ducting,277Dulk,G.
A.
,256,314Duncan,R.
C.
,32,33,244Duoluncrater,18Index397duration,201event,141exponential-growthmodel,86logistic-growthmodel,96powerlaw-growthmodel,91dustdevils,22dustgrains,18dustparticles,326duststorms,22dust,circumplanetary,22dustyspaceplasma,5dwarfgalaxies,289dwarfstar,29dynamicspectrum,314dynamo,80,290Earth,280earthcrust,16Earthrotation,126Earth'sbowshock,324Earth-directedCME,316earthquakes,2,14–16,139,290,321aftershocks,16,139,140,146,149,151,194damage,16faultgouges,17faultlengths,150faultnetwork,150foreshocks,151fractals,150Gutenberg–Richterlaw,150Gutenberg-Richterlaw,149mainshocks,151Omori'slaw,149,150precursors,16productivitylaw,150rupturearea,16scalinglaw,150waitingtimes,17,142Eastwood,J.
P.
,163,164economicbenet,9economiccapital,290economiccrisis,11economicgrowth,9economicorganizations,51economicsystem,1economy,136Eddey,S.
D.
,154eddies,325,329,332Eggen,O.
J.
,289Einaudi,G.
,330Einstein,A.
,83,171,249EITwaves,198EIT/SOHO,24,229,279ElFarolproblem,11elapsedtimes,139Eldredge,N.
,12,14,15electricconductivity,58electriccurrentdensity,330electriccurrents,290electricDCeld,312electricDCeldacceleration,312,313electricdischarge,290electricelds,32,312electricforce,3electricsignals,127electricalconductivity,denition,348electromagneticwaves,324electronbeams,163,233,314electroncollisionfrequency,denition,348electroncollisiontime,denition,348electrondensity,195,272electronux,237electrongyrofrequency,denition,348electrongyroradius,333denition,348electroninjectionspectrum,310electronLarmorradius,333electronmass,denition,347electronplasmafrequency,denition,348electronradius,denition,347electronscale,332electronthermalvelocity,denition,348electrontrapping,314electron-cyclotronmaser,234,313,314electron-positronplasma,324electron-Volt,denition,347electrons,129,296electrostaticpotential,290elementarymass,denition,347Ellermanbombs,233,262ellipticalgalaxies,32,34,246embeddingdimension,342emergentactiveregions,339emergentstructures,44emergingmagneticbipoles,278,301emissionmeasure,270,272,275emissionmeasuredistribution,306emissionmeasurepeak,306empiricalmodedecompositionmethod,191endtime,175,226energybuild-up,161decayrate,85exponential-growthmodel,87logistic-growthmodel,94models,195powerlaw-growthmodel,91scaling,233398Indexspectrum,solarares,308storagetime,89Englishliterature,10enhancement,186ephemeralmagneticregions,278epicenter,16epidemics,15epilepticseizure,15episodicenergydissipation,303episodicextinctions,12epizonalmineraldeposits,15,18equationofmotion,38equatorialbands,325equilibrium,51equilibriumstate,14Erickson,W.
C.
,153Eros,282erosion,7,277Euclid,249Euclideandimension,249,257,274Euclideanfragmentation,280,282–284Euclideanscaling,269Euclideanvolume,271Europa,moonofJupiters,324EUV,23,25,26,191,194,195,217,229,263,270,276,306EUVbrightpoints,233EUVbrightenings,233,279EUVE/DeepSurvey,239EUVI,165evaporation,5,18eventdenition,195eventdiscrimination,195eventselection,195,233evolution,12,15,51evolutionfunction,84,85evolutionaryecology,14evolutionarytrees,15evolvingspecies,321expandinguniverse,290expansionphaseofsubstorm,317Explorer33,226Explorer35,226exponentialdistribution,84,96,119exponentialtimeprole,288exponential-decaypulses,132exponential-growthmodel,84,238,288exposuretime,195externalforcing,22,337extinction,13,15,46,51extinctionrate,14extragalactic,322extragalacticjets,291F-pentomino,46Fabry-Perotspectrometer,258familynames,10FastFourierTransform,124,125,127,182faultlengths,150faultnetwork,150faults,16Feder,H.
J.
S.
,17,54Feder,J.
,54Feigenbaum,J.
A.
,11,13,51Feldman,U.
,26,227,228Fermiacceleration,313,322Fermisecond-orderacceleration,311Fermishockacceleration,296Fermi,E.
,89ferns,249Feynman,J.
,26,237,238brousmaterial,8Field,S.
,8,45Fiig,T.
,45lamenteruptions,23laments,277llingfactor,308lms,126lter,127,180,182,322,323nancialcrashes,11,51nancialmarket,10nancialphysics,11nite-sizeeffects,42,47,56,58,104,151,215,221rms,10rst-orderFermiacceleration,313,322Fisher,D.
S.
,17,54shes,324ssures,18ttestspecies,12Fitzenreiter,R.
J.
,26,234fjords,251areduration,306arestars,127,239quiescentemission,165waitingtimedistributions,165atnessproblem,33,290oods,17,127ows,325,326uence,201uid,326uvialsystems,22uxnoiseexperiment,45uxthreshold,25uxtubes,263Flyvbjerg,H.
,52foam,8Focke,W.
B.
,31,134Index399Fogedby,H.
C.
,45footpointmotion,330forcedpendulum,340,341forcedself-organizedcriticality,19forced-criticalitymodel,153,337forecast,ares,161foreshocks,151forest,8forestres,14,15,18,104,105,290,338forest-remodel,54fossilhistory,52fossilrecords,13four-sectorpattern,316Fourierdecomposition,187Fourierlter,182Fourierpowerspectrum,184,1872-D,275Fouriertransform,122,130Fourier-basedrecognitionmethod,260Fr¨ohlich,C.
,187fractaldimension,249,342box-countingmethod,260linearsize-areamethod,260,261perimeter-areamethod,258,260fractals,4,14,321-D,2502-D,256,2713-D,267,268,271areascaling,264,270box-countingmethod,257,274Brownianmotion,328Cantordust,250Cantorset,251chromosphere,259earthquakes,150evolution,52llingfactor,270galacticlarge-scalestructure,289geology,250geometry,195geophysics,250Hausdorffdimension,250,257,258,264,267humanphysiology,250Kochcurve,251magnetogram,273middle-third-erasing,250photosphere,259radiobursts,253radioemission,253Sierpinskitriangle,257solarares,258,262,264,270spatialscaling,264sunspotnumber,253volumescaling,195,270,308fractionalBrownianmotion,253fracture,8,32Fragos,T.
,278freeenergy,290free-freeemission,229,256,313accretiondisks,295Freeman,M.
P.
,153,163–165,214–216,319,333,338French,N.
H.
F.
,15,19French,R.
G.
,22,284frequencydistributions,201accretiondisks,245accuracy,212auroralblobs,19basics,202binning,202blackholeobjects,245blazars,246correlations,221,223cosmicrays,296Crabpulsar,242cumulative,103,203,239cutoff,67,102,221,237differential,202,239DowJonesindex,11durations,87,91,96,97,221earthquakes,16exponential,209exponential-growthmodel,87extinctions,13areenergies,305integrals,210latticesimulations,41,49,56,58,62,65,68,69,71,98,100log-normal,242magnetosphericphysics,214numericalgeneration,208numericalsimulations,213particleacceleration,312peakcounts,221peakenergyrate,85,90,97powerlaw,210powerlaw-growthmodel,92,93pulsarglitches,242radiobursts,233ricepile,6SEP,237SGR,244solarareEUV,229solararehardX-rays,217solararesoftX-rays,224,227,228solarares,23,25,217,222solarradiobursts,233,342stellarares,29,239400Indextotalcounts,221totalenergy,88,92uncertainties,212Frette,V.
,6–8Freund,P.
G.
O.
,11,13,51Frick,P.
,187friction,3,8,17,38,53,329dynamic,53static,53Fritzova-Svestkova,L.
,153Frontera,F.
,134fryingpan,324Fuligni,F.
,134Fuyii,Y.
,15,18FWHM,96G-band,276G¨udel,M.
,28,29,33,165–167,239,240Gabriel,S.
B.
,26,164,237,238Gaite,J.
,268galacticarms,324galacticcollisions,290galacticdisks,289galacticspirals,32,34,338galaxy,244,335galaxyclusters,32,268,289galaxydistribution,289galaxyformation,289,290,322galaxygroups,289galaxyredshiftsurvey,289galaxysuperclusters,289Gallagher,P.
T.
,198,199,260,262Galsgaard,K.
,28,71–73,105,299,303,330Galtier,S.
,28,161,330Galton,F.
,111gammaequation,53gammarays,23,26,217blazars,291solarares,308gamma-raybursts,104,139,180,187,244,296gamma-raylines,220gapequation,53Garcia-Pelayo,R.
,32,33,242Gardner,M.
,46Gaskell,C.
M.
,136Gaussiandistribution,83,115Geisel,T.
,340genefamilyfrequency,89generalrelativity,293generatorfunction,251genes,14geoeffectiveCME,316,322geologicallayer,14geologicalsystem,1geomagneticactivity,318geomagneticstorms,316,318geomagneticsubstorms,317geometricdimensions,249geophysics,waitingtimes,149Georgoulis,M.
,25,26,28,68,69,89,161,218,231,233,260,262,273,299,303,330,339GEOTAIL,215geotail,19,334,340Gergely,T.
,153Gerola,H.
,338Gerontidou,M.
,26,238giantpulses,294Gibbs,J.
W.
,321Gil,L.
,44Giller,D.
,8Ginga,167giraffe,324Giuliani,P.
,148gliders,46globalattractor,40globalcommunication,316globalconict,12globalwarming,18Glukhov,S.
,28,161,315GOES,159,162,163,185,186,226,227,229,299,316GOESareclass,264Gogus,E.
,32,33,243–245Goldberger,A.
L.
,15,250Goldstein,M.
L.
,332Golitsyn,G.
S.
,298Goltz,C.
,150Gomez,D.
O.
,28,275,276,330Gonzales,R.
C.
,194Gould,S.
J.
,12,14,15Gower,J.
F.
R.
,32,33,242,243grandiloquentdictionary,10granularity,3granulation,5,259,260,262,275,324granules,lifetime,301Grassberger,P.
,53,54,56,340–342Grasso,J.
R.
,15,18gravitationalcollapse,3,290gravitationalconstant,denition,347gravitationalenergy,79gravitationalforce,3gravitationalpotential,3,7,39gravitationalself-organization,289gravity,3,289,2902-bodysystem,3n-bodysystem,3gravity-drivenmassmotion,17GreatBritaincoastline,251Index401Greco,A.
,164,334Greenhough,J.
,231,233GreenwichObservatory,278Grieger,B.
,15,18Grigolini,P.
,161Grinstein,G.
,44ground-levelenhancements,322growthphaseofsubstorm,317growthtime,96Guckenheimer,J.
,340Gudiksen,B.
V.
,303Gurman,J.
B.
,198,231,233Gutenberg,B.
,15,16,201Gutenberg–Richterlaw,150,201Gutenberg-Richterlaw,16,149Guyon,E.
,44gyroresonanceemission,256,313gyroresonantwave–particleinteractions,313gyroresonantwaves,314gyrosynchrotronemission,217,233–235,313Hα,23,26,217,233,262H¨olderexponent,191Haensel,P.
,293Hagenaar,H.
J.
,278,279Halecycle,343Hall,M.
,14Hall-MHD,334Halo-CME,316Hamilton,R.
J.
,25,63,65,66,68,70,71,98–100,102,109,159,186,201,222,268Hamon,D.
,28,148,149,155hardstate,78,167Harding,A.
K.
,341harmonicmodes,187harmonicoscillatorinuid,340harmonicratio,284Harrison,R.
A.
,153HarvardCentroid-MomentTensorDataBase,16Harvey,K.
L.
,278Hathaway,D.
H.
,262Hausdorffdimension,250,257,258,264,267Hawley,J.
F.
,295HeIIline,276heartpacemaker,340heartrate,15heatcapacity,290heattransport,327heatingfunction,303nonuniform,303turbulent,330uniform,303heavyatomicnuclei,296Heavysidestepfunction,61hectometerradioemission,233heightcorrelations,44Helander,P.
,58,329Held,G.
A.
,6,8,57helicityconservation,303helicitydissipation,28heliocentricangle,261helioseismology,187heliosphere,19,25,332heliosphericcurrentsheet,317helium,296heliumburning,293hematopoieticstemcell,8hemispheres,274Henley,C.
L.
,18,19,56Henley,R.
W.
,15Hergarten,S.
,14,15,17,18,54,56,328Herrmann,H.
J.
,12,13,15,18,50Herz,A.
V.
M.
,15Herzel,H.
,342Hewett,R.
J.
,273hexagonalcellpattern,324Hey,J.
S.
,233Heyerdahl,E.
,19Heyvaerts,J.
,330hierarchicalSOCmodel,322highpasslter,180,198,264highways,50,126Higuchi,T.
,252,253,343HIIregions,290Hinode,299Hirzberger,J.
,260Hiscott,R.
N.
,15,18histogrambinning,212Hnat,B.
,163,333holesofelectrons,129homogeneity,1,2homogeneousPoissonprocess,142honeycombstructure,5Hopeld,J.
J.
,15Horbury,T.
S.
,163horizonproblem,33,34,290horsekicks,8Horton'slaw,18Horton,W.
,22,337Hoshino,M.
,19,20hostgalaxy,291Hotellingtransform,191Houghtransform,198hourglass,322,323Hovius,N.
,15,18Howes,G.
G.
,333Hoyng,P.
,186402IndexHSP/HST,239Huang,J.
,17,54,341Hubbleexpansion,33HubbleSpaceTelescope,290Huberman,B.
A.
,89Hudson,H.
S.
,25,26,29,211,226,228,237,310Hufnagel,B.
R.
,246Hughes,B.
D.
,89Hughes,D.
W.
,28humanbehavior,10humidity,3hurricanes,2,3Hursteffect,329Hurstexponent,18,329Hurst,H.
E.
,15,18Huygensgap,283HXR,23,25,26,154,168,217,229accretiondisks,295blazars,291neutronstars,293solarares,308HXRBS/SMM,23,104,154,155,157,218,220,221,226,227,311HXT/Yohkoh,229hydrodynamicmodel,308hydrodynamics,293hydroelectricplant,2hydrogenburning,293hydrology,14,18hydropowerplant,2Hymalayanroad,18Hyperion,Saturnmoon,342ice,290iceage,14Ikeuchi,S.
,32,34imageprocessing,194immunetrees,19IMP,234,237,332incoherentprocess,287,288incoherentradioemission,313incomes,89independence,statistical,288independentcomponentanalysis,191index,Poissonnoise,175inductionequation,58,70inelasticimpact,284inertialeffects,5inertialrange,102infallingmatter,291infection,8ination,33,34inationarymodel,289infrared,126infraredemission,accretiondisks,295Ingersoll,A.
P.
,22inheritanceprocess,10initialconditions,42initialmassfunction,32,34initiatorfunction,251instability,3accretiondisks,29,290Balbus–Hawley,80,295,296beam-driven,233,234,313,314bump-in-tail,256current-driven,19,337current-drivenkinetic,63electron-cyclotronmaser,234kinetic,319loss-cone,233,235,314magnetic,299magneto-rotational,335modulational,242numerical,65oscillating,234Rayleigh–Taylor,295SOC,290threshold,39instantaneouselectronspectrum,309instrumentalbias,25instrumentalsensitivity,25inter-earthquaketimes,151inter-occurrencetimes,139interfacedepinningmodel,14,17interfacedynamics,8intermittencyuctuations,343intermittentturbulence,332,334,337internetles,89internettrafc,13interplanetarymagneticeld,316interplanetarytypeIIIbursts,234interstellarmedium,32,34,335invasionpercolationmodel,14,44inventivity,8inventor,8Inverarity,G.
W.
,330inverseFouriertransform,127,182ioncollisionfrequency,denition,348ioncollisiontime,denition,348iongyrofrequency,denition,348ionmassdensity,denition,348ionplasmafrequency,denition,348ionthermalvelocity,denition,348ion/protonmassratio,denition,348ionosphere,19,318,322irregulartimeseries,251irregularityoftimeprole,253Index403ISEE-3/ICE,66,67,154,155,157,220,226,227,244,332Isham,V.
,140–142Isingmodels,340Isliker,H.
,25,28,70–72,108,235,298,314,329,342isotropic,63Ito,K.
,16,150Ivezic,Z.
,23,282,283J¨ahne,B.
,194Jackson,E.
A.
,94Jaeger,H.
M.
,5,8Jain,A.
K.
,194Jan,N.
,53Jansky,denition,347Janssen,K.
,260,261Jaynes,E.
T.
,142Jeansmasscriterion,290Jedicke,R.
,282Jensen,H.
J.
,4,38–40,44,45,53,56,321Jensen,M.
H.
,8Jess,D.
B.
,187Jogi,P.
,8Johansen,A.
,11,13,15,51Johnston,A.
C.
,16Josephsonjunction,340Joyce,J.
,10Juergens,H.
,250Juno,282Jupiter,22,282,283Jupiteratmosphere,324,325Jupiterdecametricemission,314Jupitereddies,22Jupiterlatitudinalbands,22Jupitermoon,324Jupiterredspot,22,325Jupp,P.
E.
,195,214,231,308Kadanoffmultiscaling,273Kaiser,G.
,187Kakinuma,T.
,26,234Kaladze,T.
D.
,324Kalapotharakos,C.
,32,34,324Kanter,L.
R.
,16Kao,Y.
H.
,45Karhunen–Lo`evetransform,191Karlicky,M.
,330,342,343Kashyap,V.
L.
,28,33,165,240Kasischke,E.
S.
,15,19Kato,T.
,31,33Katsukawa,Y.
,115–117Katz,J.
I.
,15Kawasaki,K.
,8Kennel,C.
F.
,335Kenny,B.
G.
,32,33,242Kepleriandisk,295kernelfunction,187kinematicviscosity,80,329kineticenergy,3,17,39,202,290,326Kishimoto,Y.
,8Klein,W.
,54Klimas,A.
J.
,19,22,63,319Klvana,M.
,153Knopoff,L.
,17,53Kochcurve,251Kolmogoroventropy,342Kolmogorovpowerspectrum,163Kolmogorovspectrum,275,330,332,334,335Kolmogorovturbulence,326Kolmogorov,A.
N.
,274Kopnin,S.
I.
,15,18Kouveliotou,C.
,244Kovacs,P.
,187,334Kozelov,B.
V.
,19,20Kraichnanpowerspectrum,163Krasnoselskikh,V.
V.
,28,303Kremliovsky,M.
N.
,343Krucker,S.
,24,26,195,229,231,308Kucera,T.
A.
,25,26,29,221,280Kuijpers,J.
,296Kundu,M.
R.
,26,234Kurths,J.
,342,343Lagrangianpoint,293laminarow,3laminartimes,11,139Landay–Ginzburgtheory,44landfall,3Landry,C.
C.
,15,18landslides,14,15,17Langer,J.
S.
,54Langevinequations,340Langmuiremission,314Langmuirturbulence,313Langmuirwaves,163,314language,10,13Laplacian,60LargeMagellanicCloud,290Laroche,C.
,8LASCO,163,198laser,340latticemodels,8,25,28,37,39,41lavaows,18Lawrence,A.
,128Lawrence,H.
K.
,260Lawrence,J.
K.
,191,260,262,273,274,330Lazarian,A.
,335,336404IndexLazarus,A.
J.
,136Leao,J.
,47learning,15leasteffortprinciple,10Lee,J.
W.
,276Lee,T.
T.
,25,26,218,220,226–228Leighly,K.
M.
,32,34Lepreti,F.
,149,152,153,159,329,334Letellier,C.
,343Levydistribution,10Levyight,151,163,329,333Levyfunction,159Levy,J.
S.
,12,13Li,T.
P.
,134lichengrowth,5lifestyle,9lightbulb,8lightcurvesRScuti,341variability,293lightning,14,249,290limitcycle,343Lin,R.
P.
,24,26,27,218linebroadening,330line-of-sightintegration,195lineardecayphase,86linearfunction,1linearsize-areamethod,260,261linearsystem,2linearity,1Lipshitz-H¨olderexponent,273liquidcrystals,324Lise,S.
,44literature,10lithosphere,16Litvinenko,Y.
E.
,28,77,142,149,161,305,315,320Liu,A.
T.
Y.
,22,58Liu,H.
,28,65,109,329loadingprocess,22,152,161,319logNlogSdistribution,201logN-logSdistribution,9logisticavalanches,28logisticequation,94logistic-growthmodel,94long-rangeinteractions,326Longcope,D.
W.
,28,305,330Lorenzequationsystem,340Lorenz,E.
N.
,3,340Loreto,V.
,56LosAngeles,9loss-conedistribution,314loss-coneinstability,233Lotka–Volterraequation,340lotterywin,9,10,290lowpasslter,184Lu,E.
T.
,25,26,63–68,70,71,73,89,98–100,102,108,109,159,161,186,201,218,220,222,268,298,304,305,329Lui,A.
T.
Y.
,19–21,58,214,215,319,337luminosity,307lunarcraters,23,280,283,284,290,324lunargravity,290lunarorbiters,281Lundgren,S.
C.
,32,33,242,243lung,15Lyapunovexponent,342,343Lynden-Bell,D.
,289Macek,W.
M.
,333MacKinnon,A.
L.
,25,77,108,113Macpherson,K.
P.
,25,77,108,113macropixel,196,258MagellanicCloud,244,289,290magnetar,293,294magneticarea,339magneticbipoles,278magneticbraiding,299,301magneticbuoyancy,290,299magneticclassication,280magneticdiffusion,60,70magneticdiffusivity,109,329denition,348magneticdomainpattern,8magneticenergy,61,64,65,72,74,202,290,298,304magneticeld,20,28accretiondisks,291,295,296braidingmodels,73divergence-freeness,73galactic,335gradient,63,68gyroresonanceemission,256interplanetary,62,191,316misalignmentangle,73,303neutronstars,244northward,62southward,62spectra,19vectorpotential,71magneticux,74,278,301magneticuxdisappearance,296magneticislands,330magneticknots,273magneticpolarity,340magneticpores,259,262,273magneticpressure,denition,348Index405magneticreconnection,19,23,25,28,29,63,78,162,217,237,277,290,296,299,304,315,322,330,331,337magneticReynoldsnumber,329denition,348magneticseparators,305magneticstorms,19,315magneticstressing,290,295,296,299magnetictwisting,299magneticvectorpotential,298magneto-convection,63,258,259,262,299,301,322,324,326magneto-rotationalinstability,335magnetofriction,290magnetogram,273,275,278powerspectrum,275magnetosphericboundarylayers,335magnetosphericphysicsfrequencydistributions,214waitingtimes,151magnetosphericstorms,315magnetotail,20,22,58,153,317,334,338magnetotailplasmasheet,215Magnusforce,244,290Magun,A.
,342Majumdar,S.
N.
,44Makishima,K.
,79,128Malamud,B.
D.
,15,18,19Malevergne,Y.
,10Malkov,M.
A.
,313Mallat,S.
G.
,187,194mammals,14Mandelbrot,B.
B.
,10,13,17,249,250,260Manna,S.
S.
,44Manrubia,S.
C.
,53Mantegna,R.
N.
,11,13Marchesoni,F.
,8MareTranquillitatis,281Mariner,332Mars,22,282,326Martens,P.
C.
H.
,275Martianuvialsystem,22Maslov,S.
,14,53massclumping,296massinfall,293,295,296masslossrate,315masstransfer,245,293masterequation,28,161,314,315materialphysics,7Matilsky,T.
A.
,341Matsuzaki,M.
,16matterinfall,29Matthaeus,W.
H.
,331,332,334Maxwell'selectrodynamics,298Maxwell'sequations,58May,R.
M.
,94McAteer,R.
T.
J.
,187,188,260,262,329McHardy,I.
M.
,128,134McIntosh,S.
W.
,25,75,198,231,233,268,269McTiernan,J.
M.
,144,155–158,166,332MDI/SOHO,278mean,115meanmolecularweight,denition,348mean-eldtheory,44,52measlesepidemics,15mechanicalresonances,284mechanicalsystem,1medicaldiseases,338Medvedev,M.
V.
,8Meisel,L.
V.
,8Melatos,A.
,32,33,242–244Melendez,J.
L.
,26Melnick,J.
,32,34,291,292memory,15,159,178,191Mendoza,B.
,238Mercier,C.
,26,234,235Mercury,22mergingstructures,337meridionalow,327meso-granulation,259,262Meszarosova,H.
,26,235,343metastablestates,38,39,340Metcalfe,T.
S.
,282meteoroidimpact,280,290meteorologicalchanges,14metricoscillationbursts,126metricradioemission,217metrictypeIIIbursts,126metropolitanareas,10Meunier,N.
,260,261,278Mexicanhatfunction,191Mexicanhatmotherwavelet,147Meyer,Y.
,187MHD,58discretization,28,70,298,338Halleffect,334inductionequation,329models,161MURAMcode,258numericalsimulations,303,330,333turbulence,28,109,148,159,163,164,178,182,276,313,329–332turbulentcascade,326,332waves,332microares,23,25,26,165,217,221microfracturing,8microsatellites,215microscope,326406Indexmicroscopicscales,251microwavebackground,32middle-third-erasing,250Middleton,A.
A.
,54Milano,L.
J.
,330Milkywaygalaxy,324Miller,J.
A.
,313millimeterradioemission,233millisecondspikes,126Milovanov,A.
V.
,22,332,338Milshtein,E.
,44Mineshige,S.
,31,33,78,79,129,133,134,136,138,157,168,169,243,245,246,295,296minimumcurrent,299Mininni,P.
D.
,343minoritygame,11Miravariables,191Miroshnichenko,L.
I.
,26,218,220,237,238,313misalignmentangle,73Mitra-Kraev,U.
,28,75Miyamoto,S.
,128modulationalinstability,242Moffat,J.
W.
,33,34molecularcloud,290moleculargrid,250molecularself-assembly,324molecules,326momentofinertia,269monofractal,273Monte–Carlosimulations,83stellarares,240timeproles,240accretiondisks,168eventdetection,172exponential-growthmodel,172arestars,166frequencydistributions,213masterequation,315percolation,338waitingtimes,144Moon,280Moon,Y.
J.
,154,161,163moons,22Morales,L.
,25,73–76,299Mordvinov,A.
V.
,187Moreira,J.
G.
,8Morley,P.
D.
,32,33,242Morley,S.
K.
,153,319,338morphologicalopeningoperator,198Morsecode,251Mossner,W.
K.
,56motherwaveletfunction,187MountWilsonObservatory,278mountainslides,17,277mountains,249,321Moussas,X.
,343Mousseau,N.
,8movingaveragemodel,178movingmagneticfeatures,278mudslide,7Muller,R.
,260multi-resolutionmethods,187multi-scalemethods,182multifractals,17,273Cantorset,333earthquakes,150turbulence,330multiperiodicity,343multiple-leveltrackingmethod,260multiple-strategymodels,50multiplicativefactor,89multiplicativeprocesses,10,135,287,288,295Muraki,Y.
,134Murtagh,F.
,194mutation,9,12,14,51,52n-bodysimulations,32,39n-bodysystem,340Nagatani,T.
,12,13,50Nagel,K.
,12,13,15,18,47–50Nakamura,T.
,282Nakanishi,H.
,54nanoares,24–26,69,117,121,165,194,195,229,233,263,264,303Nasdaq100,11naturalselection,12navigationnetworks,316Negoro,H.
,31,33,79,134,136,167,168,186,243,245,246Neptune,22nervecellspiking,15nervemembranes,126Nesme-Ribes,E.
,343network,8,13Neugebauer,H.
J.
,18Neuperteffect,224,228neuralreverberations,15neural-networklearningmethod,198neuronring,15neutroncaptureline,220neutronmonitor,237neutronstar,242,244,293neutronstarcrust,32,244,294HerX-1,341neutronstarquakes,293–295neutronstars,127,295NewYork,9Newman,M.
E.
J.
,13,151Index407newspapers,10next-neighborinteractions,37,100,105,113,114,321Nicholson,P.
D.
,22,284NICMOScamera,290Nicol,R.
M.
,333Nileriver,15,18Ning,Z.
,26,234,236Nishizuka,N.
,26,231,233Nita,G.
M.
,26,234–236NIXT,275NOAAcatalog,235,237Noever,D.
A.
,18noise,195,2611/fspectrum,4,34,44,45,127,184,293blacknoise,127,329Brownian,126,127ickernoise,31,78,127,129,132noise-freedata,175,180nomenclature,126photonnoise,175photons,195pinknoise,127Poisson,195Poissonnoise,129rednoise,127,132shotnoise,32,129,132,167shotnoisespectrum,131,133spectra,126whitenoise,44,122,124,127non-localcommunication,108non-periodictimeproles,187non-SOCprocesses,321nonconservativesystems,44noncooperativeevolution,14nonequilibrium,19nonlinearchaoticsystems,340nonlineardissipativesystem,2nonlinearforce-freeeld,299nonlinearfunction,84nonlinearsystem,1,2nonpotentialmagneticenergy,299nonpotentialmagneticenergybuild-up,301,302nonstationaryPoissonprocess,142nonthermalelectronspectrum,309nonthermalelectrons,308nonthermalemission,127,134,308nonthermalenergy,202solarares,308nonthermalspectrum,311Noonan,E.
J.
,28,305Nordlund,A.
,303,330Nori,F.
,8Norman,J.
P.
,161Norris,J.
P.
,244,341NorthAmerica,9north-southasymmetry,343Norwaycoastline,251Norwegiancoast,18Norwegianfjords,7Nottale,L.
,32,34,289novaoutbursts,31Nowak,M.
A.
,134Nozakura,T.
,32,34nuclearburning,290nuclearchainreaction,94nuclearfusion,31nuclearphysicsexperiment,9numericalSOCmodels,37Nurujjaman,Md.
,8Nyquistfrequency,124,131O'Brien,K.
P.
,8O'Brien,P.
T.
,32,34O'Toole,D.
V.
,15oblate,294occurrencerate,140oceanevaporation,18oceanridgespreadingcenters,16oceantransportation,9oceantrenches,16Ochelkov,Yu.
P.
,238OFCmodel,28,148,149,155Ohm'slaw,58,153Okuzono,T.
,8Olami,Z.
,17,18,44,54,148,155oligarchicgrowth,324Olmedo,O.
,198Olson,C.
J.
,8Omori'slaw,149,150Omori,F.
,142,146,149,150,157opalescenceinuids,324opticalemission,23,31optimisticbuyers,290orbitalperiod,154orbits3-bodyproblem,342n-bodyproblem,342Ordovicianera,13oscillatingchemicalreactions,324oscillations,126,187SGR,295oscillators,8OSO-3,226Osokin,A.
R.
,28Osorio,I.
,15Osten,R.
A.
,165408IndexOtsuka,M.
,54Otter,R.
,77Paczuski,M.
,8,12–14,17,38,47–49,51–54,56,161Pallas,282PalmandKhinchintheorem,141PalomarLeidenSurvey,282pandemicdiseasespread,14Paniveni,U.
,260Pankine,A.
A.
,22Parkerspiral,316Parker,E.
N.
,63,73,75,302–304,316Parnell,C.
E.
,24–26,75,195,214,231,232,260,263,264,278–280,308,339particleacceleration,23,28,290,311,340cosmicrays,296particlephysicsexperiments,112particleprecipitation,23,217,318,322Patriarca,M.
,8Patrick,G.
J.
,164patternrecognitionalgorithms,195Pavlidou,V.
,31,33,80,295,296peakenergyreleaserate,84,90,95exponential-growthmodel,84logistic-growthmodel,95powerlaw-growthmodel,90peakux,201peakluminosity,307peakmethod,147peaktime,175,226Pearce,G.
,153,154,157,158Pearson,K.
,121Peitgen,H.
O.
,250Pelletier,J.
D.
,15,18pendulum,2,53,340,341percolation,324activeregions,338,339models,14,44,51,262,277,278,338simulations,338Perez-Enriquez,R.
,26,218,220perimeter-areamethod,258,260periodicattractors,44periodicpulses,124permeablesubstance,338Permianera,13permutations,112perpetuummobile,3Petri,A.
,8Petrosyan,A.
,332phasetransitions,19,324,340,341PHEBUS,220Phillpotts,E.
,139phonecalls,7photonarrivaltimes,165photonnoise,116,127,195photonwaitingtimes,165,167photosphere,5,259,277temperature,347photosphericintranetwork,273,278photosphericnetwork,259,273,301,305powerspectrum,275photosphericoscillations,191phylogenetictrees,15physicalsystem,1physics-freemodels,83,288Picasso,P.
,37Pietronero,L.
,44pinetrees,8pinneduxlattices,8pinningforce,244pionradiation,308Pioneer,332pions,308pitchangledistribution,313pitchangles,312PitondelaFournaisevolcano,18Pizzochero,P.
M.
,32Pla,O.
,8plages,273Planckconstant,denition,347Planck,M.
,321planetaryorbits,324planetaryrings,22planetarysystemformation,22planetarysystems,324planetesimals,282planets,22plasmaconnement,8,329plasmacooling,229plasmaemission,217,235,256,313plasmaheating,23plasmaresonances,19plasmasheetboundarylayer,340plasmasheets,22plasma-βparameter,denition,348Podesta,J.
J.
,163,333Podladchikova,O.
V.
,121,198,303Podlazov,A.
V.
,28pointpatterns,122pointprocesses,122,140Poissondistribution,117,118Poissonprocess,7,140inhomogeneous,142nonstationary,142,289stationary,142,288Poissonstatistics,83,175Poisson,S.
D.
,117Index409POLAR/UVI,19,215polarizedbrightnessimage,198Poliakov,A.
N.
B.
,15,18politicalevents,11,290Polygiannakis,J.
M.
,187,343polymer,8populationdensity,12populationdynamics,340populationgrowth,46,89populationstatistics,136porousmaterials,338postareloops,23potentialenergy,202potentialmagneticenergy,299potsoillandscape,7,8Pouquet,A.
,28,330poweroutages,127powerspectrum,45,122,124,184,185Brownianmotion,326interstellarmedium,335Planckian,78,129pulses,133powerspectrumanalysis,275activeregions,276brightpoints,276corona,276magnetogram,275omnidirectional,275photosphericnetwork,275quietSun,275powerlawsizedistribution,4powerlawslope,criticalvalue,211powerlawslopes,211,239exponential-growthmodel,89large-eventbias,220waitingtimes,144,146powerlaw-growthmodel,89Poyntingux,319precursors,16,51Press,W.
H.
,126pressure,326prices,50Priest,E.
R.
,330principalcomponentanalysis,182,191probabilitydistribution,84,112,140,142,203Procaccia,I.
,341,342producers,11productivitylaw,150prot,290ProperOrthogonalDecomposition,191proteinfamilyfrequency,89proteinfolding,324protonacceleration,313protonux,237protonmass,denition,347protonscale,332protonstar,295proton/electronmassratio,denition,347protons,237,296protoplanets,324Prozorov,R.
,8Prussiancavalry,8publications,8Pudovkin,M.
I.
,22,319,329pulsar,128pulsarglitches,32,33,242,290,294pulsarspin-up,242pulsar-windnebulae,296pulsar,Vela,341pulsars,31,46,127,243,294,296pulsations,126pulsesblazars,291δ-function,130exponential-decay,132rectangular,131punctuatedequilibriamodel,14,33,52purchases,50Qiu,J.
,221quantumgravity,34quantummechanics,112quasars,246,291,335quasi-lineardiffusion,314,329quasi-periodicbursts,neutronstar,293quasi-periodicoscillations,187,341quasi-periodicradiobursts,344quasi-separatrixlayer,330quasi-stellarobjects,291quiescentemission,arestars,165quiescenttime,147quietSun,powerspectrum,275Quilligan,F.
,136,180,244radiatedenergy,307radiationbelt,215radiativecooling,29radiativeenergy,174radiativeloss,308radiativelossfunction,307radiativelossrate,denition,348radioburstoscillations,344radiobursts,25,26,125,163,187,233radioemission,23,28,125,217,233,253,313,330accretiondisks,295blazars,291radiopropagation,318410Indexradiopulsations,344radioscintillation,318radiotypeInoisestorm,163,235,314radiotypeIIbursts,314radiotypeIIIbursts,126,235,236,314radiotypeIVcontinuum,314radiotypeJbursts,314radiotypeNbursts,235radiotypeRSbursts,235radiotypeUbursts,235,314radiotypeVbursts,314radio-interferometry,335radioactivity,9radiusofgyration,269raindrops,328rainfall,14,15,17,18,338Ramaswamy,R.
,44randomdrawing,10randommotion,327randomwalk,303Ranger,281rank-orderplot,10,206citysizes,9rareevents,119Raschke,E.
,15,18Raup,M.
D.
,12,14,15,52Ray,T.
S.
,53Rayleigh–Taylorinstability,295reaction-diffusionsystems,324rebinning,258recoveryphaseofsubstorm,317rectangularpulses,131recurrenceplots,342redistributionrule,63,68,73,98Reed,W.
J.
,89Reggeoneldtheory,53relativisticbeaming,293relativisticelectrons,308relativisticjets,290,291relativity,293renormalizationgrouptheory,19,22,44,56resistivity,anomalous,319resonances,19restoration,186retina,9Reynoldsnumber,329rheology,8,18RHESSI,29,154,155,157,218,221Rhodes,C.
J.
,15Rhodes,T.
L.
,8ricepileexperiment,6–8Rice,J.
R.
,142Richardson,L.
F.
,12,13Richter,C.
F.
,15,16,201Richter,P.
,250Rieutord,M.
,262Rinaldo,A.
,15,18ringcurrents,322ringlets,283risetime,84risetimes,randomness,288river,9riverformation,18rivernetworks,15,22Robbrecht,E.
,198Roberts,D.
C.
,12,13Robinson,P.
A.
,314Robinson,R.
D.
,28,33,239,240Rochelobe,293rockplasticshearbands,15,18rocktexture,15,18rockslide,17Rosenshein,E.
B.
,22Rosner,R.
,89,161Rossberg,17Rossbyautosolitons,325rotatingdrum,5,6rotatingpendulums,38rotation,326rotationaxis,291rotationalenergy,290Rothman,D.
H.
,15,18Roudier,T.
,260RouppeVanderVoort,L.
H.
M.
,276Roux,S.
,44Ruelle–Takens–Newhouseroute,342Rundle,J.
B.
,15,54runningsandpile,41runningtime-differencemethod,198Rutherford,E.
,287RXTE,244Ryabov,V.
B.
,128,342Ryan,R.
D.
,187Rydbergconstant,denition,347Sagan,C.
,139Sahraoui,F.
,333Saichev,A.
,9,10,150,151sales,50Sammis,C.
,17Sammis,I.
,25,280samplecompleteness,195sandavalanche,5sandbeach,3,4,324sanddesert,324sanddunes,324sandgrains,136Sandage,A.
R.
,289Index411sandpiles,3–6,8,39,104,139,288,290,322Sanz,J.
L.
,147satellitefailures,316saturationenergy,84,94saturationtime,84,94,120Saturn,22,282,283Saturnrings,22,23,283,290,324Saupe,D.
,250scale-invariance,4scalegrams,187scalinglaw,earthquakes,150scalinglaws,211hydrostatics,308SOCparameters,308Scargle,J.
,127,142,178,186,187,341scatteringofparticles,22Schatten,K.
H.
,339Scheinkman,J.
A.
,11,13,50Schottky'stheorem,129Schottky,W.
,129Schreckenberg,M.
,50Schrijver,C.
J.
,260,262,300Schroeder,M.
,127,250Schulman,L.
S.
,338Schuster,H.
G.
,126,340Schwabl,F.
,8,19,56Schwartz,R.
A.
,26,218Schwarz,U.
,187,342scintillations,335ScorpiusX-1,341sea-airsurface,325Searle,L.
,289sedimentdeposition,18seeing,261,276segmentation,22Seiden,P.
E.
,278,338–340seismometers,201Sekar-Iyenbgar,A.
N.
,8selectioneffects,238self-gravitycollapse,290self-organization,5,324biology,324self-similarexpansion,324self-similarity,282Selman,F.
J.
,32,34,291,292semantics,10semiconductors,126Sen,A.
K.
,274sensitivitylimits,212sentence,10SEP,25,26,163,237,322energies,296separationofevents,146separatorreconnectionmodels,28separators,305Sepkoski,J.
J.
Jr.
,12,13,15,52Serre,T.
,343Seyfertgalaxies,136NGC4051,128NGC5506,128SGR,32,33,243,244,290,294Shakura,N.
I.
,295shallow-waterlayer,325Shaw,B.
E.
,54Shaw,G.
B.
,171Shea,M.
A.
,238shearviscosity,329shearedarcade,330Shibata,K.
,26,226,228,308Shimizu,K.
,136Shimizu,T.
,26,226,228Shimojo,M.
,26,226,228Shine,R.
A.
,278shockacceleration,296,311,313shocksurngacceleration,296shockwaves,163,233,237,290,315,317shockedmatter,290shocks,151showers,particles,296Shukla,P.
K.
,324Sierpinskicarpet,273Sierpinskitriangle,257signal-to-noiseratio,132,175silica,8Simnett,G.
M.
,153Singh,H.
,191,193singularityspectrum,273Sitnov,M.
I.
,19Sivia,D.
S.
,142Sivron,R.
,31,33Skilling,J.
,142slider-blockspringmodel,17,18SloanDigitalSkySurvey,282slumps,18Smalley,R.
F.
Jr.
,54Smart,D.
F.
,238Smolin,L.
,34smoothing,178Sneppen,K.
,8,14,51,52,151snowavalanches,2,14,15,18,290snowakes,249,268SOC,3–5,25,39biology,321criteria,288,290,293,294denition,288,321geology,321hierarchicalmodel,322instability,290412Indexnon-SOCprocesses,321phenomenon,290SOC-likeprocesses,321sourceoffreeenergy,290trigger,290universality,44,83SOCcriteriatestsaccretiondisks,295Brownianmotion,328cosmicrays,296particleacceleration,311radiobursts,314solardynamo,301solarwind,334turbulence,330socialnetwork,13Socolar,J.
E.
S.
,44softstate,78softX-raytransients,neutronstars,293Solanki,S.
K.
,278solarage,denition,347solarbrightpoints,195solarconstant,denition,347solarcorona,211solarcycle,25,145,159,161,187,198,218,237,261,274,278,317,339,340,343intermittency,343prediction,343strangeattractordimension,343solardiameter,187solardynamo,63,262,290,299,301,339,343solarescapespeed,denition,347solarares,19,23,26,89,127,277,290,299,304,308,3222000July14event,229,258,264areastatistics,279correlations,219EUV,229fractals,262,270frequencydistributions,217geometricmodel,270hardX-raypulses,329HXR,187,217,229lightcurves,229monthlyrate,218spatialscales,279SXR,224,229thermalenergy,306waitingtimes,153solaruxunit,denition,347solargravitation,denition,347solarinterior,262solarirradiance,187,233solarmass,denition,347solarphysics,latticesimulations,63solarradiantuxdensity,denition,347solarradiantpower,denition,347solarradiobursts,timeseriesanalysis,342solarradius,denition,347solarrotationeffect,253solarsolidangle,denition,347solarsystemformation,280,289solarwind,19,136,153,163,290,315,316,324,332,338chaoticdynamics,343waitingtimedistributions,164Solar-GeophysicalDatacatalog,253soldierkill,8Sole,R.
V.
,14,53solitons,324,325solubleconstituents,338solvent,338Somfai,E.
,7,8Sornette,A.
,16,54Sornette,D.
,4,8,10,11,13,16,17,44,51,54,150,151,250,281SOT/Hinode,278Sotolongo-Costa,O.
,151,329soundspeed,denition,348sourthwardinterplanetarymagneticeld,317SouthAtlanticAnomaly,155Southworth,G.
,233sparkingfrequency,55spatialscalesasteroidbelt,282lunarcraters,280Saturnring,283solarares,279statistics,277SPEcatalog,237speciesabundance,14specklereconstruction,258,261spectralmethods,187speculation,290speedoflight,denition,347spellingmistakes,7spheromak,5Spiegel,E.
A.
,343spikeremovals,212spiralpatterns,324springconstant,38,53springs,38stableequilibrium,3StandardandPoor'sindex,11standarddeviation,115Stanley,H.
E.
,11,13,51Index413starclusters30Doradus,290ABDor,29starcrustfractures,290stardensity,8starformation,3,290,322,324,338starburstcluster,290,291starbursts,32,34Starck,J.
-L.
,194starquakes,32stars,2847Cas,29ADLeo,28,29,165,166ATMic,28AUMic,28cataclysmicvariables(seeCV),29CNLeo,29dMestars,28EKDra,29EpsilonEri,29EVLac,28,29F2-Vtype,29FKAqr,28GJ411,29HD2726,29HD2756,29KappaCet,29main-sequence,28reddwarfs,28redgiants,29RRLyrae,191RSOphiuchi,29RVTau-type,341TScuti,341V1054Oph,28whitedwarfs,29YZCMi,28,239starspots,299starttime,175,226Stassinopoulos,D,15staticequilibrium,4stationaryPoissonprocess,142statisticalindependence,288statisticaluncertainty,212statisticalweighting,212Stauffer,D.
,269steady-state,33steady-statetransportequation,315Stefan–Boltzmannconstant,denition,347Stein,R.
S.
,16Steinberg,J.
T.
,335stellarchromosphericoscillations,187stellarcoronae,28,165,211,239stellardistance,306stellardynamics,32stellardynamo,290stellarares,33,139,290,304,314frequencydistributions,208,239Stelzer,B.
,240stemcell,8Stern,B.
E.
,167stick-and-slipmotion,16,53stick-and-slipreconnection,305stochasticaring,29stockmarket,3,9,11,13,140,321stockmarketcrash,290stockmarketprecursors,11Stokes'theorem,60stop-and-gosandpile,41storms,17strangeattractordimension,340–342streams,251,326structurefunction,274Sturrock,P.
A.
,25,301–303,308,339Su,Y.
,26,218,221sub-atomicscales,251SubaruMain-BeltAsteroidSurvey,282subductionzones,16subpulses,221,236substorms,19,20,58,104,153,214,215,290,316,317,324,334,337Sudan,R.
N.
,330suddenstormcommencement,237Suhl,H.
,8Sundkvist,D.
,335sunspotclassication,280sunspotnumber,253,343sunspotoscillations,187sunspotpenumbrae,259sunspotumbrae,259sunspots,256,262,273,277,278,299,301,343Sunyaev,R.
A.
,295super-granulation,259super-luminous,246superconductivity,32superconductor,8,45SuperDARN,153superuid,244superuidhydrodynamics,293superuidvortexunpinningmodel,32superuidity,32supergranulation,262supernovaexplosions,290,335supernovaremnants,244,296supernovashocks,3,297supernovae,290superpositiontheorem,141surfacereaction,8414Indexsurvival,9,12Sutherland,P.
G.
,134Svensson,R.
,167Sweet-Parker,29SXR,23,25,26,28,128,159,217,224,229,270,275,306solarares,308SXT/Yohkoh,115,226,229,231,264symbolicdynamics,342symmetrybraking,324,333sympatheticCMEs,163sympatheticares,140,153,161,194,291,324synchrotronemission,293synodicperiod,316system,1Szczepaniak,A.
,333tachocline,262,277,290,299,322,339Tadic,B.
,44Tainaka,K.
,32,34Takalo,J.
,19,20,22,58,61,62,70,214–216,298,319,338Takeuchi,M.
,31,33,79,134,245,295Tam,S.
W.
Y.
,22Tanaka,Y.
,128,129Tang,C.
,4,5,16,34,38,39,41,43,44,50,54,133,321Tang,F.
,278tangled-naturemodel,14Tashiro,M.
,129tectonicplates,3,16,53,325tectonicslipping,290Teerikorpi,P.
,250,289,326temperature,14,261bias,308lters,233increase,290models,195wavelengthdependence,229termitenest,15Terradas,J.
,191,192Terrell,N.
J.
Jr.
,167thermalconductivity,denition,348thermalelectrons,308thermalemission,127,134,165,224,291,308thermalenergy,202,233,273,306,307thermalpressure,denition,348thermalscaleheight,denition,348thermalspectrum,311thermalSpitzerconductivity,denition,348thermodynamicequilibrium,326thermonuclearashes,293thick-targetbremsstrahlung,217,308thinkingprocess,10Thompson,B.
J.
,154Thompson,C.
,32,33,244threshold,64,94,194,238,288thresholdcriteria,195thresholdenergy,84thresholdmethod,147thresholdofdetection,174thresholdslope,5,40threshold-segmentationmethod,198tidaldisruption,284tidalforces,282,290tiger,324timeproles,122,123,229timescalespectrum,253timeseries,172analysis,342geomagnetic,187timingnoise,294tokamakplasma,8tokomak,329top-downscenario,289topographicalmap,251tornado,3torsionalAlfvenwaves,28torsionalshearmode,295totalcounts,306totalemissionmeasure,306totalreleasedenergy,87,91TRACE,23,24,194,195,229,231,264,280trafc,7,126trafccollisions,290trafcjam,9,11,13,47Tranquille,C.
,218,221transientchaos,341transistors,126transitionregion,239,303,330trapping,314treerings,19trees,249Treuman,R.
A.
,318Triassicera,13trigger,SOC,290Trojanasteroids,282tropicalshes,324Trottet,G.
,26,234,235,314truncations,212Tsuneta,S.
,115–117,313turbiditedepositions,15turbidites,14,18turbulence,8,19,151,153,164,262,274,275,277,295,325,326,3372-uidsystem,3Alfvenic,343uid,3Index415intermittent,332,334,337non-ionizeduids,242onset,340shellmodel,148singleuid,3spectrum,332turbulentboundarylayer,334turbulentcascade,56,163turbulentconvection,301turbulentviscosity,295Turcotte,D.
L.
,7,12–14,16–19,38,44,53–56,250,341twisteduxtube,330two-scalecascadingprocess,333two-sectorpattern,316Uchida,Y.
,28,301–303Ueno,S.
,134,185,186Ulysses,10,221,332uncorrelatedness,139,161undergoundseeping,338universeexpansion,290universe,age,289unloadingprocess,22,319unpinning,293unsharpmasking,180Uranus,22urbangrowth,13,89urbansprawl,9Uritsky,V.
M.
,19,20,22,319,329,332,334,337Uttley,P.
,134,136UV,12,26,28,32,126,239,330,343blazars,291UVbrightenings,233Uzdensky,D.
A.
,29VacuumTowerTelescopeTenerife,258Vaiana,G.
S.
,89,161Vainio,R.
,332valleys,251,277VanderZiel,A.
,129VanHollebeke,M.
A.
I.
,237,238VanHouten,C.
J.
,282Vandewalle,N.
,15VanHollebeke,M.
A.
I.
,26Vassiliadis,D.
,28,70,71,298Vaughan,B.
A.
,134Vecchio,A.
,191vectormagnetographdata,299Velapulsar,294,341Velli,M.
,330velocityuctuations,274Veltri,P.
,163,332vendors,11Venus,22Verdes,P.
F.
,343Verhulst,P.
F.
,94Veronig,A.
,26,227,228,343Vespignani,A.
,44Vesta,282vibrations,326Vieira,L.
E.
A.
,187Vigoroux,A.
,187Vilmer,N.
,314virus,8viscosity,295anomalous,296coefcient,329kinematic,329ofuid,3shear,329viscousdiffusion,79visiblelight,124,126visualreceptorcells,8Vlahos,L.
,25,28,68,69,299,303,313,314,339,340Voges,W.
,341volcanicacousticemission,15volcanicactivities,15volcanicactivityofStromboli,18volcaniceruption,14,17,18volcaniceruptions,277,280volcanoclasticturbiditedeposits,15,18voltage,129volumellingfactor,270volumescaling,89,231vonNeumann,J.
,46vortices,8,45,244,313,324,325,332vorticesunpinning,293Voyager,23,332waitingtimes,11,140,288accretiondisks,167blackholes,167CME,162,316cutoff,152CygnusX-1,31distributions,148earthquakes,17arestars,165geophysics,149globalsystem,141hardX-rays,154localsystem,141magnetosphericphysics,151measurements,146Monte-Carlosimulations,144nonstationarystatistics,142416Indexphotons,165,167powerlawslopes,144,146probabilityfunction,142SEP,316softX-rays,159solarares,153,155,157solarradiobursts,163solarwind,163,164,333stockmarket,140WallStreetcrash,3,11Walsh,R.
M.
,28,303Wang,H.
,221Wang,H.
N.
,98Wang,J.
X.
,278warcasualties,12,13Warzawski,L.
,32,33,244Watari,S.
,187,253–256,343WATCH/Granat,69,154,155,157,220watercycle,18waterow,3watersprinkler,7watertransportation,9Watkins,N.
W.
,19,22,214,216,332–334waveclustering,332wave–particleinteractions,313wave-particleinteractions,311,332,340wavelengthcoverage,195wavelengths,126waveletanalysis,122,147,182,187,341,342waves,191Wawrzaszek,A.
,333weak-drivinglimit,108weathersystem,1webaccess,89webserveraccess,7Weierstrass,K.
,249weighting,214Weissman,M.
B.
,8Wentzel,D.
G.
,278,339,340Westbrook,C.
D.
,268Westervelt,R.
M.
,8wetsand,5Wheatland,M.
S.
,25,28,89,141,142,146,148,149,154,159–163,280,305,308,315,320,332,339White,O.
R.
,127,186WIC/IMAGE,317Wiehr,E.
,260Wiener–Khinchintheorem,130,131Wiener-Khinchintheorem,131Wiesenfeld,K.
,4,5,34,38,41,43,44,50,133,321Wiita,P.
J.
,31,33Wilczek,F.
,287wildlifeserviceland,19Willinger,W.
,13Willis,J.
C.
,89Willson,R.
C.
,187WIND,164,215windowedFouriertransform,187WisconsinHαMapper,335Wolfram,S.
,98wood,290Woodford,M.
A.
,11,13,50Woods,J.
W.
,194Woods,R.
E.
,194wordassociations,10wordfrequency,10,13world-wideweb,89Wu,S.
,15,18Xapsos,M.
A.
,237XEST/XMM,240Xiong,Y.
,31,33,80,295Xu,F.
,295Yashiro,S.
,25,26,228Yeats,R.
S.
,16Yeh,W.
J.
,45,163Yohkoh/SXT,115Yokoyama,T.
,308Yonehara,A.
,31,33,78,80Yoshida,F.
,282Young,C.
A.
,187,198,199Young,K.
,341Young,M.
D.
T.
,32,33,242Yule,G.
U.
,89Yurovsky,Y.
,342Zanette,D.
H.
,9,10,13,89Zapperi,S.
,44Zarro,D.
M.
,224Zebker,H.
A.
,22,284zebra,324zebrastripe,5Zeemaneffect,278Zelenyi,L.
M.
,332Zhang,H.
Q.
,278Zhang,J.
,15,18Zhang,Y.
C.
,44,51Zhou,Y.
,331Zieve,R.
J.
,8Zinn,R.
,289Zipflaw,9,35Zipfplot,10,208Zipf,G.
K.
,10,13,208Zirker,J.
B.
,303Zwaan,C.
,278

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