Abstract

Abstract. The dynamics of complex systems are founded on universal principles that can be used to describe disparate problems ranging from particle physics to economies of societies. A corollary is that transferring ideas and results from investigators in hitherto disparate areas will cross-fertilize and lead to important new results. In this contribution, we investigate the existence of a universal behavior, if any, in solar flares, magnetic storms, earthquakes and pre-seismic electromagnetic (EM) emissions, extending the work recently published by Balasis et al. (2011a). A common characteristic in the dynamics of the above-mentioned phenomena is that their energy release is basically fragmentary, i.e. the associated events are being composed of elementary building blocks. By analogy with earthquakes, the magnitude of the magnetic storms, solar flares and pre-seismic EM emissions can be appropriately defined. Then the key question we can ask in the frame of complexity is whether the magnitude distribution of earthquakes, magnetic storms, solar flares and pre-fracture EM emissions obeys the same law. We show that these apparently different extreme events, which occur in the solar-terrestrial system, follow the same energy distribution function. The latter was originally derived for earthquake dynamics in the framework of nonextensive Tsallis statistics.

Highlights

  • A central property of the magnetic storm, solar flare, and earthquake preparation process is the possible occurrence of coherent large-scale collective behavior with a very rich structure resulting from the repeated nonlinear interactions among their constituents taking place in the magnetosphere

  • We focus on the seismicity model proposed by Sotolongo-Costa and Posadas (2004) in the framework of Tsallis statistical mechanics

  • We concentrate on signatures of universality in the solar-terrestrial system using the nonextensive Tsallis statistics (Tsallis, 1998)

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Summary

Introduction

Wanliss, 2005, Wanliss et al, 2005; Balasis et al, 2006), solar corona (Vassiliadis et al, 1998; Isliker et al, 2001; Baiesi et al, 2006) and lithosphere (Turcotte, 1997; Sornette, 2004; Eftaxias et al, 2009, 2010), respectively. Silva et al (2006) have revised the model introduced by Sotolongo-Costa and Posadas (2004) Their analysis resulted in a different nonextensive Guttenberg-Richter type law. The primary question we can ask in the context of complex systems theory is whether the aforementioned nonextensive laws successfully describe the magnitude distribution of earthquakes in various seismic regions in Earth and magnetic storms, solar flares and pre-seismic EM emissions, rooted in the activation of a single fault, in the solar-terrestrial system. It is worth mentioning that the estimated q nonextensive parameter values are in full agreement with the upper limit, q < 2, obtained from several independent studies involving the Tsallis nonextensive framework (Tsallis, 2009)

Principles of Tsallis statistical mechanics
Calculation of Tsallis entropy using symbolic dynamics methods
A nonextensive model for earthquake dynamics
Conclusions
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