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Tsallis Entropy: A Non-Extensive Frequency-Magnitude Distribution of Earthquakes

2002/11/08 by Oscar Sotolongo-Costa, Sotolongo-Costa, Oscar, Antonio Posadas +2
Earth and Planetary Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Earthquake Detection and Analysis #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics and Entropy #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.cond-mat/0211160

arxiv created 2002/11/08 · openalex publication_date 2002/11/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By using the maximum entropy principle, with Tsallis entropy, we obtain an explicit dependence for energy distribution of earthquakes. This function describes very well the observations in a wide range of energies, where other distribution functions fail. We assume that the fragments filling the gap between the fault planes play an active role in the triggering of earthquakes. The energy distribution function is related to the size distribution function of these fragments.

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