Majority-Vote Model on a Random Lattice

TL;DR

This study investigates the critical properties of the majority vote model on random lattices with quenched disorder, revealing different critical exponents and a specific critical noise parameter through Monte Carlo simulations.

Contribution

It provides the first detailed analysis of the majority vote model's critical behavior on random lattices with quenched disorder, using finite size scaling and Monte Carlo methods.

Findings

Critical noise parameter q_c = 0.117 ± 0.005

Critical exponents γ and β differ from those on regular lattices

Critical properties are affected by quenched connectivity disorder

Abstract

The stationary critical properties of the isotropic majority vote model on random lattices with quenched connectivity disorder are calculated by using Monte Carlo simulations and finite size analysis. The critical exponents $\gamma$ and $\beta$ are found to be different from those of the Ising and majority vote on the square lattice model and the critical noise parameter is found to be $q_{c}=0.117\pm0.005$.