Crossover of a nonequilibrium system studied by coherent anomaly method

TL;DR

This paper investigates the critical behavior crossover in a nonequilibrium stochastic cellular automaton using the coherent anomaly method, confirming the continuous variation of the critical exponent due to nonlocal site exchange.

Contribution

It applies the coherent anomaly method to analyze how nonlocal site exchange affects the critical behavior in a cellular automaton, revealing continuous variation of critical exponents.

Findings

Confirmed continuous variation of the critical β exponent

Demonstrated the effect of nonlocal site exchange on critical behavior

Applied coherent anomaly method to a cellular automaton

Abstract

In the stochastic cellular automaton of rule 18 defined by S. Wolfram [Rev.\ Mod.\ Phys.\ {\bf 55}, 601 (1983)] the crossover of the critical behaviour induced by nonlocal site exchange was investigated using the coherent anomaly method. The continuous variation of the critical $\beta$ exponent was confirmed.