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A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field

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  • Vallianatos, Filippos

Abstract

Using the CK95 database of Cande and Kent (1995) [7], we apply the concepts of non-extensive statistical physics (NESP) to the time intervals between two consecutive geomagnetic reversals, called inter-reversal times. The application of NESM is appropriate to systems such as the geomagnetic field where non-linearity, long-range interactions, memory effects and scaling are important. We calculate the probability density function for the inter-reversal times and using the CK95 geomagnetic reversals and we estimate a thermodynamic q parameter of q=1.5, which supports the conclusion that the geomagnetic system is a sub-extensive one with long-range memory effects. The results discussed using the complementary to the NESP approach of superstatistics which is based on a superposition of ordinary local equilibrium statistical mechanics, using a suitable intensive parameter β that fluctuates on a relatively large temporal scale, leading to the conclusion that two degrees of freedom describe the process which generates the geomagnetic reversals.

Suggested Citation

  • Vallianatos, Filippos, 2011. "A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1773-1778.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:10:p:1773-1778
    DOI: 10.1016/j.physa.2010.12.040
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    Citations

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    Cited by:

    1. Cartwright-Taylor, Alexis & Vallianatos, Filippos & Sammonds, Peter, 2014. "Superstatistical view of stress-induced electric current fluctuations in rocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 368-377.
    2. Liu, Guoliang, 2017. "A new physical model for earthquake time interval distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 62-65.
    3. Ferreira, Douglas S.R. & Ribeiro, Jennifer & Oliveira, Paulo S.L. & Pimenta, André R. & Freitas, Renato P. & Papa, Andrés R.R., 2020. "Long-range correlation studies in deep earthquakes global series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    4. Vallianatos, Filippos, 2018. "A non extensive view of electrical resistivity spatial distribution estimated using inverted Transient Electromagnetic responses in a karstified formation (Keritis basin, Crete, Greece)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 171-178.
    5. Ioannis, Koutalonis & Filippos, Vallianatos, 2020. "Observational evidence of non-extensive behavior of seismic coda waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    6. Vallianatos, Filippos & Koutalonis, Ioannis & Chatzopoulos, Georgios, 2019. "Evidence of Tsallis entropy signature on medicane induced ambient seismic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 35-43.
    7. Papadakis, Giorgos & Vallianatos, Filippos & Sammonds, Peter, 2016. "Non-extensive statistical physics applied to heat flow and the earthquake frequency–magnitude distribution in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 135-144.

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