Nonextensivity in geological faults?

Vilar, C. S.; França, George Sand; Silva, R.; Alcaniz, J. S.

doi:10.1016/j.physa.2006.11.017

Cited by 70 publications

(50 citation statements)

References 39 publications

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“…Figure 2 clearly illustrates the superiority of the q values restricted in the range 1 < q < 2 to magnify differences of the S q and thus of the complexity as the global instability is approaching. It is worth mentioning that the nonextensive q parameters that clearly quantify the temporal evolution of the complexity in the D st time series are in full agreement with the upper limit q < 2 obtained from several studies involving the Tsallis nonextensive framework ( [33] and references therein). Moreover, they are in harmony with an underlying sub-extensive system, q > 1, verifying the emergence of strong interactions in the magnetosphere, especially during the occurrence of an intense magnetic storm.…”

Section: Resultssupporting

confidence: 85%

Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy

Balasis

Daglis

Papadimitriou

et al. 2011

Entropy

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Over the last couple of decades nonextensive Tsallis entropy has shown remarkable applicability to describe nonequilibrium physical systems with large variability and multifractal structure. Herein, we review recent results from the application of Tsallis statistical mechanics to the detection of dynamical changes related with the occurrence of magnetic storms. We extend our review to describe attempts to approach the dynamics of magnetic storms and solar flares by means of universality through Tsallis statistics. We also include a discussion of possible implications on space weather forecasting efforts arising from the verification of Tsallis entropy in the complex system of the magnetosphere

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Section: Resultssupporting

confidence: 85%

Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy

Balasis

Daglis

Papadimitriou

et al. 2011

Entropy

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“…Notice, the estimation for the nonextensive parameters is in full agreement with the upper limit q<2 obtained from several independent studies involving the Tsallis nonextensive framework (Vilar et al, 2007).…”

Section: An Estimation Of Tsallis Index Q For the Case Of Fracture Prsupporting

confidence: 87%

Tsallis and Levy statistics in the preparation of an earthquake

Contoyiannis

Eftaxias

2008

Nonlin. Processes Geophys.

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Abstract. Precursory fracture induced electromagnetic (EM) emissions, rooted in opening cracks and ranging from MHz to kHz, with the MHz appearing earlier, are produced and detected both at laboratory and geophysical scale. Recently, we have proposed the following two epochs/stages model of EQ generation: (i) The final kHz part is triggered by the fracture of high strength and large asperities that are distributed along the activated fault and sustain the system. (ii) The initial MHz part is thought to be due to the fracture of highly heterogeneous system that surrounds the family of asperities. Interestingly, the MHz EM time-series can be described in analogy with a thermal second order phase transition. Herein we focus on the MHz pre-seismic activity, and especially on the naturally arising question: what is the physical mechanism that organizes the heterogeneous system in its critical state? Combining ideas of Levy and Tsallis statistics and criticality with features hidden in the precursory MHz time-series we argue that a Levy walk type mechanism can organize the heterogeneous system to criticality. Based on a numerically produced truncated Levy walk, we propose a way to estimate in the stage of critical fluctuations: (i) the associated Levy index-a, which describes quantitatively the underlying Levy dynamics, and (ii) the range of values where the nonextesitive Tsallis index q is restricted. We also show that the kHz EM activity could not be described by a truncated Levy mechanism. This result further indicates an abrupt sweep of the population of asperities that sustain the system.

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“…The fragment-asperity model has been applied to various earthquake catalogs (SILVA et al 2006;VILAR et al 2007;TELESCA 2010aTELESCA , b, c, 2011TELESCA , 2012MICHAS et al 2013; In the fragment-asperity model framework the nonextensive parameter q M informs us about the scale of interactions between the fault planes and the fragments (MATCHARASHVILI et al 2011;PAPADAKIS et al 2013;TELESCA 2010b, c;VALVERDE-ESPARZA et al 2012). Thus, the increase of q M indicates that the physical state of a seismic area moves away from equilibrium.…”

Section: Datamentioning

confidence: 99%

A Nonextensive Statistical Physics Analysis of the 1995 Kobe, Japan Earthquake

Papadakis

Vallianatos

Sammonds

2014

Pure Appl. Geophys.

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Abstract-This paper presents an analysis of the distribution of earthquake magnitudes for the period 1990-1998 in a broad area surrounding the epicenter of the 1995 Kobe earthquake. The frequency-magnitude distribution analysis is performed in a nonextensive statistical physics context. The nonextensive parameter q M , which is related to the frequency-magnitude distribution, reflects the existence of long-range correlations and is used as an index of the physical state of the studied area. Examination of the possible variations of q M values is performed during the period 1990-1998. A significant increase of q M occurs some months before the strong earthquake on April 9, 1994 indicating the start of a preparation phase prior to the Kobe earthquake. It should be noted that this increase coincides with the occurrence of six seismic events. Each of these events had a magnitude M = 4.1. The evolution of seismicity along with the increase of q M indicate the system's transition away from equilibrium and its preparation for energy release. It seems that the variations of q M values reflect rather well the physical evolution towards the 1995 Kobe earthquake.

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Nonextensivity in geological faults?

Cited by 70 publications

References 39 publications

Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy

Quantifying Dynamical Complexity of Magnetic Storms and Solar Flares via Nonextensive Tsallis Entropy

Tsallis and Levy statistics in the preparation of an earthquake

A Nonextensive Statistical Physics Analysis of the 1995 Kobe, Japan Earthquake

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