Avalanche Behavior in an Absorbing State Oslo Model

TL;DR

This paper transforms the Oslo model into an absorbing state framework to analyze avalanche behavior, finding consistent gap exponents and highlighting the influence of external drive and boundary conditions on avalanche size exponents.

Contribution

It introduces an absorbing state version of the Oslo model and investigates its avalanche properties, linking self-organized criticality with absorbing state phase transitions.

Findings

Gap exponent D matches the self-organized critical model

Avalanche size exponent  depends on external drive and boundary conditions

Provides insight into the relation between self-organized criticality and absorbing states

Abstract

Self-organized criticality can be translated into the language of absorbing state phase transitions. Most models for which this analogy is established have been investigated for their absorbing state characteristics. In this article, we transform the self-organized critical Oslo model into an absorbing state Oslo model and analyze the avalanche behavior. We find that the resulting gap exponent, D, is consistent with its value in the self-organized critical model. For the avalanche size exponent, \tau, an analysis of the effect of the external drive and the boundary conditions is required.