Self-organized critical and synchronized states in a nonequilibrium percolation model

TL;DR

This paper introduces a nonequilibrium percolation model exhibiting self-organized criticality and periodic states, with variable critical exponents and complex cluster structures, advancing understanding of nonequilibrium phase transitions.

Contribution

The study presents a novel nonequilibrium percolation model demonstrating SOC and periodic states, with non-universal critical exponents and partial infinite clusters.

Findings

SOC state with diverging correlation length

Critical exponent varies non-universally with model parameter

Existence of periodic states with partial infinite clusters

Abstract

We introduce a nonequilibrium percolation model which shows a self-organized critical (SOC) state and several periodic states. In the SOC state, the correlation length diverges slower than the system size, and the corresponding exponent depends non universally on the parameter of the model. The periodic states contain an infinite cluster covering only part of the system.