Self-Organized Criticality in a Bulk Driven One-Dimensional Deterministic System

TL;DR

This paper presents a one-dimensional deterministic self-organized critical system that is bulk driven, showing non-universal critical exponents that vary with system parameters, contrasting with boundary-driven models.

Contribution

It introduces a new bulk-driven deterministic model exhibiting non-universal critical behavior, differing from previously studied boundary-driven systems.

Findings

Critical exponents vary with system parameters

No universal critical behavior observed

Model relates to earthquake dynamics

Abstract

We introduce a deterministic self-organized critical system that is one dimensional and bulk driven. We find that there is no universality class associated with the system. That is, the critical exponents change as the parameters of the system are changed. This is in contrast with the boundary driven version of the model [M. de Sousa Vieira, Phys. Rev. E 61 (2000) 6056] in which the exponents are unique. This model can be seen as a discretized version of the conservative limit of the Burridge-Knopoff model for earthquakes.