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Universality in solar flare, magnetic storm and earthquake dynamics using Tsallis statistical mechanics

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  • Balasis, Georgios
  • Daglis, Ioannis A.
  • Anastasiadis, Anastasios
  • Papadimitriou, Constantinos
  • Mandea, Mioara
  • Eftaxias, Konstantinos

Abstract

The universal character of the dynamics of various extreme phenomena is an outstanding scientific challenge. We show that X-ray flux and Dst time series during powerful solar flares and intense magnetic storms, respectively, obey a nonextensive energy distribution function for earthquake dynamics with similar values for the Tsallis entropic index q. Thus, evidence for universality in solar flares, magnetic storms and earthquakes arise naturally in the framework of Tsallis statistical mechanics. The observed similarity suggests a common approach to the interpretation of these diverse phenomena in terms of driving physical mechanisms that have the same character.

Suggested Citation

  • Balasis, Georgios & Daglis, Ioannis A. & Anastasiadis, Anastasios & Papadimitriou, Constantinos & Mandea, Mioara & Eftaxias, Konstantinos, 2011. "Universality in solar flare, magnetic storm and earthquake dynamics using Tsallis statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 341-346.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:2:p:341-346
    DOI: 10.1016/j.physa.2010.09.029
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    References listed on IDEAS

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    1. Tsallis, Constantino, 2004. "Dynamical scenario for nonextensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 1-10.
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    4. Stanley, H.E & Amaral, L.A.N & Gopikrishnan, P & Ivanov, P.Ch & Keitt, T.H & Plerou, V, 2000. "Scale invariance and universality: organizing principles in complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 60-68.
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    Cited by:

    1. Potirakis, Stelios M. & Zitis, Pavlos I. & Eftaxias, Konstantinos, 2013. "Dynamical analogy between economical crisis and earthquake dynamics within the nonextensive statistical mechanics framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2940-2954.
    2. Ferreira, D.S.R. & Ribeiro, J. & Oliveira, P.S.L. & Pimenta, A.R. & Freitas, R.P. & Dutra, R.S. & Papa, A.R.R. & Mendes, J.F.F., 2022. "Spatiotemporal analysis of earthquake occurrence in synthetic and worldwide data," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    3. Ogunsua, B.O. & Laoye, J.A., 2018. "Tsallis non-extensive statistical mechanics in the ionospheric detrended total electron content during quiet and storm periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 236-245.
    4. Zhao, Pan & Xiao, Qingxian, 2016. "Portfolio selection problem with liquidity constraints under non-extensive statistical mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 5-10.
    5. Hoyos, Isabel & Rodríguez, Boris Anghelo, 2020. "Drawing the complexity of Colombian climate from non-extensive extreme behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).

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