Self-Organized Criticality, effective dynamics and the universality class of the Deterministic Lattice Gas

TL;DR

This paper demonstrates that the deterministic lattice gas model of self-organized criticality belongs to the Manna universality class due to effective stochastic behavior emerging at large scales.

Contribution

It reveals that the deterministic lattice gas model exhibits universality class behavior similar to stochastic models, due to effective stochastic dynamics at macro scales.

Findings

DLG belongs to the Manna universality class

Effective stochasticity emerges at large scales

Macro dynamics resemble stochastic SOC models

Abstract

We show that the Deterministic Lattice Gas (DLG) (Phys. Rev. Lett. 26, 3103 (1990)) model of Self-Organized Criticality (SOC) despite of its deterministic micro dynamics belongs to the Manna universality class of absorbing state phase transitions. This finding is consistent with our observation that an effective stochastic term is generated in the DLG at large length scales, whereby the macro dynamics of the DLG appears closer to the other stochastic SOC models of the Manna class.