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.

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

References in corpus (1)

• Olami-Feder-Christensen Model on different Networks

Cited by in corpus (21)

• Critical phenomena in complex networks
• The mechanisms of self-organised criticality in social processes of knowledge creation
• Turbulent-Like Behavior of Seismic Time Series
• Analysis of return distributions in the coherent noise model
• Analysis of self-organized criticality in Ehrenfest's dog-flea model
• Extended q-Gaussian and q-exponential distributions from Gamma random variables
• Micro and Macro Benefits of Random Investments in Financial Markets
• Return distributions in dog-flea model revisited
• Disentangling sources of multifractality in time series
• Earthquake-like patterns of acoustic emission in crumpled plastic sheets
• Power-law distribution and scale-invariant structure from the first CHIME/FRB Fast Radio Burst catalog
• Scale invariance in X-ray flares of gamma-ray bursts
• Quantifying the randomness and scale invariance of the repeating fast radio bursts
• Self-organized critical characteristics of teraelectronvolt photons from GRB 221009A
• Self organized criticality of magnetic avalanches in disordered ferrimagnetic material
• Alternative way to characterize a q-gaussian distribution by a robust heavy tail measurement
• Pathway Model and Nonextensive Statistical Mechanics
• On the Statistical Nature and Dynamics of Seismogenesis in the NW Circum-Pacific Belt: A Study Based on Non-Extensive Statistical Physics
• Similar Scale-invariant Behaviors between Soft Gamma-ray Repeaters and An Extreme Epoch from FRB 121102
• Scaling and memory in seismological phenomena
• T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny