Olami-Feder-Christensen Model on different Networks

TL;DR

This study explores the self-organized criticality of the Olami-Feder-Christensen model on different network types, revealing critical behavior on small-world networks but not on scale-free networks due to disorder effects.

Contribution

It provides a numerical analysis of the SOC properties of the OFC model on small-world and scale-free networks, highlighting the impact of network topology on criticality.

Findings

Small-world OFC model exhibits power-law earthquake size distribution.

Scale-free OFC model's disorder prevents reaching criticality.

Finite size scaling observed in small-world network results.

Abstract

We investigate numerically the Self Organized Criticality (SOC) properties of the dissipative Olami-Feder-Christensen model on small-world and scale-free networks. We find that the small-world OFC model exhibits self-organized criticality. Indeed, in this case we observe power law behavior of earthquakes size distribution with finite size scaling for the cut-off region. In the scale-free OFC model, instead, the strength of disorder hinders synchronization and does not allow to reach a critical state.