A study of non-extensivity in the Earth’s magnetosphere
Magnetic storms are undoubtedly among the most important phenomena in space physics and also a central subject of space weather. The non-extensive Tsallis entropy has been recently introduced, as an effective complexity measure for the analysis of the geomagnetic activity D st index. Tsallis entropy...
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          | Published in | The European physical journal. ST, Special topics Vol. 174; no. 1; pp. 219 - 225 | 
|---|---|
| Main Authors | , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
        Berlin/Heidelberg
          Springer-Verlag
    
        01.07.2009
     | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 1951-6355 1951-6401  | 
| DOI | 10.1140/epjst/e2009-01102-y | 
Cover
| Abstract | Magnetic storms are undoubtedly among the most important phenomena in space physics and also a central subject of space weather. The non-extensive Tsallis entropy has been recently introduced, as an effective complexity measure for the analysis of the geomagnetic activity
D
st
index. Tsallis entropy has been shown to sensitively detect the complexity dissimilarity between pre-storm activity and intense magnetic storms in the Earth’s magnetosphere. Here, we show that the
D
st
time series obey a modified form of the Gutenberg-Richter law for the case of non-extensive statistics, thus providing evidence for universality in magnetic storm and earthquake occurrence. | 
    
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| AbstractList | Magnetic storms are undoubtedly among the most important phenomena in space physics and also a central subject of space weather. The non-extensive Tsallis entropy has been recently introduced, as an effective complexity measure for the analysis of the geomagnetic activity D(st) index. Tsallis entropy has been shown to sensitively detect the complexity dissimilarity between pre-storm activity and intense magnetic storms in the Earth's magnetosphere. Here, we show that the D(st) time series obey a modified form of the Gutenberg-Richter law for the case of non-extensive statistics, thus providing evidence for universality in magnetic storm and earthquake occurrence. Magnetic storms are undoubtedly among the most important phenomena in space physics and also a central subject of space weather. The non-extensive Tsallis entropy has been recently introduced, as an effective complexity measure for the analysis of the geomagnetic activity D st index. Tsallis entropy has been shown to sensitively detect the complexity dissimilarity between pre-storm activity and intense magnetic storms in the Earth’s magnetosphere. Here, we show that the D st time series obey a modified form of the Gutenberg-Richter law for the case of non-extensive statistics, thus providing evidence for universality in magnetic storm and earthquake occurrence.  | 
    
| Author | Eftaxias, K. Balasis, G.  | 
    
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| Cites_doi | 10.1029/2008GL034743 10.1103/PhysRevE.77.036101 10.1103/PhysRevE.73.026102 10.1103/PhysRevE.71.016139 10.1016/S0378-4371(00)00195-3 10.1029/93JA02867 10.1016/j.physa.2007.10.053 10.1016/S0378-4371(02)01018-X 10.5194/angeo-24-3557-2006 10.1103/PhysRevLett.92.048501 10.1007/BF01016429 10.1103/PhysRevLett.96.051102 10.1103/PhysRevE.58.1442 10.1051/epn:2005601 10.1016/j.physa.2006.11.017  | 
    
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| Keywords | Magnetic Storm European Physical Journal Special Topic Earthquake Occurrence Wavelet Power Spectrum Entropic Index  | 
    
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| References | J. Naudts, Physica A 316, 323 (2002) TsallisC.Phys. Rev. E.1998581442 TsallisC.J. Stat. Phys.198852479 M. Kalimeri, C. Papadimitriou, G. Balasis, K. Eftaxias, Physica A 387, 1161, doi:10.1016/j.physa.2007.10.053 (2008) BalasisG.DaglisI.A.KapirisP.MandeaM.VassiliadisD.EftaxiasK.Ann. Geophys.2006243557 PapadimitriouC.KalimeriM.EftaxiasK.Phys. Rev. E2008770361011 G. Balasis, I.A. Daglis, C. Papadimitriou, M. Kalimeri, A. Anastasiadis, K. Eftaxias, Geophys. Res. Lett. 35, L14102, doi:10.1029/2008GL034743 (2008) SilvaR.FrancaG.VilarC.AlcanizJ.Phys. Rev. E2006731026102 Solotongo-CostaO.PosadasA.Phys. Rev. Lett.2004921048501 SchwarzU.ArnoldO.B.KurthsJ.WittA.Astron. & Astrophys.1993277215 C. Tsallis [arXiv:0812.4370v1] (2008) VilarC.FrancaG.SilvaR.J. Alcaniz, Physica A2007377285 GonzalesW.D.JoselynJ.A.KamideY.KroehlH.W.RostokerG.TsurutaniB.T.VasyliunasV.M.J. Geophys. Res.1994995771 J. Boon, C. Tsallis, Europhys. News 36 (2005) StanleyH.AmaralL.GopikrishnanP.IvanovP.KeittT.PlerouV.Physica A200028160 ArcangelisL.GodanoC.LippielloE.NicodemiM.Phys. Rev. Lett.2006961051102 AbeS.BagciG.B.Phys. Rev. E200571016139 1222_CR14 1222_CR15 1222_CR16 1222_CR17 1222_CR1 1222_CR10 1222_CR2 1222_CR11 1222_CR3 1222_CR12 1222_CR4 1222_CR13 1222_CR5 1222_CR6 1222_CR7 1222_CR8 1222_CR9  | 
    
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| Title | A study of non-extensivity in the Earth’s magnetosphere | 
    
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