A Nonconservative Earthquake Model of Self-Organized Criticality on a Random Graph

TL;DR

This paper studies a nonconservative earthquake model on a quenched random graph, revealing self-organized criticality with universal scaling and power-law relations, suggesting a new mean-field limit.

Contribution

It demonstrates that the quenched version of the Olami-Feder-Christensen model exhibits criticality deep in the nonconservative regime, unlike the annealed version.

Findings

Self-organized criticality observed in quenched model

Finite size scaling with universal exponents

Power-law relation between avalanche size and duration

Abstract

We numerically investigate the Olami-Feder-Christensen model on a quenched random graph. Contrary to the case of annealed random neighbors, we find that the quenched model exhibits self-organized criticality deep within the nonconservative regime. The probability distribution for avalanche size obeys finite size scaling, with universal critical exponents. In addition, a power law relation between the size and the duration of an avalanche exists. We propose that this may represent the correct mean-field limit of the model rather than the annealed random neighbor version.