Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes

Details Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes

2006-06-05

arxiv.org/abs/cond-mat/0606118v4

Physical Review E 75, 055101(R) (2007)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures. New version accepted for publication on PRE Rapid Communications

Scientific paper

10.1103/PhysRevE.75.055101

We perform a new analysis on the dissipative Olami-Feder-Christensen model on a small world topology considering avalanche size differences. We show that when criticality appears the Probability Density Functions (PDFs) for the avalanche size differences at different times have fat tails with a q-Gaussian shape. This behaviour does not depend on the time interval adopted and is found also when considering energy differences between real earthquakes. Such a result can be analytically understood if the sizes (released energies) of the avalanches (earthquakes) have no correlations. Our findings support the hypothesis that a self-organized criticality mechanism with long-range interactions is at the origin of seismic events and indicate that it is not possible to predict the magnitude of the next earthquake knowing those of the previous ones.

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