Majority-vote model with heterogeneous agents on square lattice

TL;DR

This study investigates a nonequilibrium majority-vote model with heterogeneous agents on a square lattice, determining critical exponents and showing it belongs to a different universality class than homogeneous models.

Contribution

It introduces heterogeneity into the majority-vote model and characterizes its critical behavior through Monte Carlo simulations and finite-size scaling.

Findings

Critical exponents: β/ν=0.35(1), γ/ν=1.23(8), 1/ν=1.05(5)

Critical noise parameter: q_c=0.1589(4)

Heterogeneous model belongs to a different universality class

Abstract

We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira 1992 with heterogeneous agents on square lattice. By Monte Carlo simulations and finite-size scaling relations the critical exponents $\beta/\nu$, $\gamma/\nu$, and $1/\nu$ and points $q_{c}$ and $U^*$ are obtained. After extensive simulations, we obtain $\beta/\nu=0.35(1)$, $\gamma/\nu=1.23(8)$, and $1/\nu=1.05(5)$. The calculated values of the critical noise parameter and Binder cumulant are $q_{c}=0.1589(4)$ and $U^*=0.604(7)$. Within the error bars, the exponents obey the relation $2\beta/\nu+\gamma/\nu=2$ and the results presented here demonstrate that the majority-vote model heterogeneous agents belongs to a different universality class than the nonequilibrium majority-vote models with homogeneous agents on square lattice.