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Superstatistical view of stress-induced electric current fluctuations in rocks

Author

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  • Cartwright-Taylor, Alexis
  • Vallianatos, Filippos
  • Sammonds, Peter

Abstract

The concepts of non-extensive statistical physics, which have recently been applied in the study of complex systems, have been used here to analyse stress-induced electric current data in triaxially deformed Carrara marble samples. The fluctuations of electric current appear to follow a q-Gaussian distribution, with the PDF exhibiting ‘fat tails’. The application of super-statistical techniques to these electric current fluctuations shows to good approximation that they can be described by local Gaussian processes with fluctuating variance.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:414:y:2014:i:c:p:368-377
    DOI: 10.1016/j.physa.2014.07.064
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    References listed on IDEAS

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    1. Vallianatos, Filippos & Sammonds, Peter, 2010. "Is plate tectonics a case of non-extensive thermodynamics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4989-4993.
    2. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
    3. 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.
    Full references (including those not matched with items on IDEAS)

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