Scaling properties of the cluster distribution of a critical nonequilibrium model

TL;DR

This study investigates the geometric properties of critical fluctuations in a nonequilibrium majority vote model, revealing that its cluster distribution shares universality with the 2D Ising model, thus expanding understanding of universality classes.

Contribution

It demonstrates that the cluster distribution exponents and fractal dimension of a nonequilibrium model match those of the 2D Ising model, highlighting universality beyond equilibrium systems.

Findings

Cluster distribution exponents match 2D Ising model

Fractal dimension aligns with Ising universality

Results extend universality class understanding

Abstract

A geometric approach to critical fluctuations of a nonequilibrium model is reported. The two-dimensional majority vote model was investigated by Monte Carlo simulations on square lattices of various sizes and a detailed scaling analysis of cluster statistical and geometric properties was performed. The cluster distribution exponents and fractal dimension were found to be the same as those of the (two-dimensional) Ising model. This result, which cannot be derived purely from the known bulk critical behaviour, widens our knowledge about the range of validity of the Ising universality class for nonequilibrium systems.