Nonextensive triplet in geological faults system

Abstract

The San Andreas fault (SAF) in the USA is one of the most investigated self-organizing systems in nature. In this paper, we studied some geophysical properties of the SAF system in order to analyze the behavior of earthquakes in the context of Tsallis's $q$--Triplet. To that end, we considered 134,573 earthquake events in magnitude interval $2\le m<8$, taken from the Southern Earthquake Data Center (SCEDC, 1932 - 2012). The values obtained ("$q$--Triplet"$\equiv$$\{$$q$${}_{stat}$,$q$${}_{sen}$,$q$${}_{rel}$$\}$) reveal that the $q_{stat}$--Gaussian behavior of the aforementioned data exhibit long-range temporal correlations. Moreover, $q_{sen}$ exhibits quasi-monofractal behavior with a Hurst exponent of 0.87.

5 pages, 6 figures, EPL accepted

References in corpus (11)

• Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
• Nonextensive models for earthquakes
• Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes
• Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere
• Central limit behavior of deterministic dynamical systems
• A nonextensive approach to the dynamics of financial observables
• Dark matter distribution function from non-extensive statistical mechanics
• Non-gaussian statistics and stellar rotational velocities of main sequence field stars
• Constraining nonextensive statistics with plasma oscillation data
• Nonextensivity in Geological Faults?
• Nonextensivity in the solar magnetic activity during the increasing phase of solar Cycle 23

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