A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field |
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Authors: | Filippos Vallianatos |
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Institution: | Department of Earth Sciences, University College London, Gower Street, London, WC1E 6BT, UK Technological Educational Institute of Crete, Laboratory of Geophysics and Seismology, Crete, Greece |
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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. |
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Keywords: | Non-extensive statistical physics Polarity reversals Geomagnetic field |
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