On the random neighbor Olami-Feder-Christensen slip-stick model

TL;DR

This paper reevaluates the random neighbor Olami-Feder-Christensen slip-stick model, highlighting how different approximations of the state distribution p(E) significantly influence the results.

Contribution

It critically examines previous assumptions and explores the impact of approximation methods on the model's outcomes.

Findings

Results are highly sensitive to the chosen approximation of p(E)

Previous conclusions may be affected by the specific approximation used

Provides insights into the model's behavior under different assumptions

Abstract

We reconsider the treatment of Lise and Jensen (Phys. Rev. Lett. 76, 2326 (1996)) on the random neighbor Olami-Feder-Christensen stik-slip model, and examine the strong dependence of the results on the approximations used for the distribution of states p(E).