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Tsallis statistics and magnetospheric self-organization

Author

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  • Pavlos, G.P.
  • Karakatsanis, L.P.
  • Xenakis, M.N.
  • Sarafopoulos, D.
  • Pavlos, E.G.

Abstract

In this study we use Tsallis non-extensive statistics for a new understanding the magnetospheric dynamics and the magnetospheric self-organization during quiet and intensive superstorm periods. The qsens, qstat, and qrel indices set known as the Tsallis q-triplet was estimated during both quiet and strongly active periods, as well as the correlation dimensions and Lyapunov exponents spectrum for magnetospheric bulk plasma flows data. The results obtained by our analysis clearly indicate the magnetospheric phase transition process from a high-dimensional quiet SOC state to a low-dimensional global chaotic state when superstorm events are developed. During such a phase transition process the non-extensive statistical character of the magnetospheric plasma is strengthened as the values of the q-triplet indices changes obtaining higher values than their values during the quiet periods.

Suggested Citation

  • Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Sarafopoulos, D. & Pavlos, E.G., 2012. "Tsallis statistics and magnetospheric self-organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3069-3080.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:11:p:3069-3080
    DOI: 10.1016/j.physa.2012.01.033
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    References listed on IDEAS

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    1. Pavlos, G.P. & Iliopoulos, A.C. & Tsoutsouras, V.G. & Sarafopoulos, D.V. & Sfiris, D.S. & Karakatsanis, L.P. & Pavlos, E.G., 2011. "First and second order non-equilibrium phase transition and evidence for non-extensive Tsallis statistics in Earth’s magnetosphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(15), pages 2819-2839.
    2. Woodard, Ryan & Newman, David E. & Sánchez, Raúl & Carreras, Benjamin A., 2007. "Persistent dynamic correlations in self-organized critical systems away from their critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 215-230.
    3. Ferri, G.L. & Reynoso Savio, M.F. & Plastino, A., 2010. "Tsallis’ q-triplet and the ozone layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1829-1833.
    4. Tsallis, Constantino, 1995. "Non-extensive thermostatistics: brief review and comments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 277-290.
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    1. Pavlos, G.P. & Iliopoulos, A.C. & Zastenker, G.N. & Zelenyi, L.M. & Karakatsanis, L.P. & Riazantseva, M.O. & Xenakis, M.N. & Pavlos, E.G., 2015. "Tsallis non-extensive statistics and solar wind plasma complexity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 113-135.
    2. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N. & Pavlos, E.G. & Iliopoulos, A.C. & Sarafopoulos, D.V., 2014. "Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 58-95.
    3. Iliopoulos, A.C. & Nikolaidis, N.S. & Aifantis, E.C., 2015. "Portevin–Le Chatelier effect and Tsallis nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 509-518.
    4. Pavlos, G.P. & Malandraki, O.E. & Pavlos, E.G. & Iliopoulos, A.C. & Karakatsanis, L.P., 2016. "Non-extensive statistical analysis of magnetic field during the March 2012 ICME event using a multi-spacecraft approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 149-181.
    5. Iliopoulos, A.C. & Aifantis, E.C., 2018. "Tsallis q-triplet, intermittent turbulence and Portevin–Le Chatelier effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 17-32.
    6. Pavlos, G.P. & Karakatsanis, L.P. & Xenakis, M.N., 2012. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6287-6319.
    7. Karakatsanis, L.P. & Pavlos, G.P. & Xenakis, M.N., 2013. "Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar flares dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3920-3944.
    8. Sandhya Devi, 2016. "Financial Market Dynamics: Superdiffusive or not?," Papers 1608.07752, arXiv.org, revised Sep 2017.
    9. Pavlos, G.P. & Karakatsanis, L.P. & Iliopoulos, A.C. & Pavlos, E.G. & Xenakis, M.N. & Clark, Peter & Duke, Jamie & Monos, D.S., 2015. "Measuring complexity, nonextensivity and chaos in the DNA sequence of the Major Histocompatibility Complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 188-209.
    10. Devi, Sandhya, 2016. "Financial Market Dynamics: Superdiffusive or not?," MPRA Paper 73327, University Library of Munich, Germany, revised 24 Aug 2016.

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