Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model

TL;DR

This study investigates how site dilution and agent diffusion influence the critical behavior of a modified majority-vote model with noise, using Monte Carlo simulations and finite-size scaling to estimate critical parameters.

Contribution

It introduces a modified majority-vote model on diluted lattices and analyzes its critical behavior through extensive simulations, providing new insights into phase transitions under disorder.

Findings

Critical noise $q_c$ varies with dilution probability $r$

Finite-size scaling estimates critical exponents for different $r$

Dilution affects the universality class of the model

Abstract

In this work we study a modified version of the majority-vote model with noise. In particular, we consider a random diluted square lattice for which a site is empty with a probability $r$. In order to analyze the critical behavior of the model, we perform Monte Carlo simulations on lattices with linear sizes up to L=140. By means of a finite-size scaling analysis we estimate the critical noises $q_{c}$ and the critical ratios $\beta/\nu$, $\gamma/\nu$ and $1/\nu$ for some values of the probability $r$.