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

Abstract

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.

arXiv comment5 pages, 3 figures. New version accepted for publication on PRE Rapid Communications

References in corpus (9)

• Long-Term Clustering, Scaling, and Universality in the Temporal Occurrence of Earthquakes
• From time series to superstatistics
• Similarity of fluctuations in correlated systems: The case of seismicity
• Power-Law Time Distribution of Large Earthquakes
• Properties of Foreshocks and Aftershocks of the Non-Conservative SOC Olami-Feder-Christensen Model: Triggered or Critical Earthquakes?
• A Nonconservative Earthquake Model of Self-Organized Criticality on a Random Graph
• Olami-Feder-Christensen Model on different Networks
• Turbulent self-organized criticality
• Comment on "Do Earthquakes Exhibit Self-Organized Criticality?"

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