Short-time Monte Carlo simulation of the majority-vote model on cubic lattices

K.P. do Nascimento, L.C. de Souza, A.J.F. de Souza, André L.M. Vilela and H. Eugene Stanley

Physica A: Statistical Mechanics and its Applications, 2021, vol. 574, issue C

Abstract: We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume N=L3, with L up to 2048. We obtain the precise location of the critical point by examining the scaling properties of a new auxiliary function Ψ. We perform finite-time scaling analysis to accurately calculate the whole set of critical exponents, including the dynamical critical exponent z=2.027(9), and the initial slip exponent θ=0.1081(1). Our results indicate that the majority-vote model in three dimensions belongs to the same universality class of the three-dimensional Ising model.

Keywords: Sociophysics; Phase transition; Critical Phenomena; Monte Carlo simulation; Finite-size scaling (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:574:y:2021:i:c:s0378437121002454

DOI: 10.1016/j.physa.2021.125973

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