English

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

Statistical Mechanics 2021-05-05 v2

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=L3N = L^3, with LL up to 20482048. We obtain the precise location of the critical point by examining the scaling properties of a new auxiliary function Ψ\Psi. We perform finite-time scaling analysis to accurately calculate the whole set of critical exponents, including the dynamical critical exponent z=2.027(9)z=2.027(9), and the initial slip exponent θ=0.1081(1)\theta = 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

Cite

@article{arxiv.2008.11861,
  title  = {Short-time Monte Carlo simulation of the majority-vote model on cubic lattices},
  author = {K. P. do Nascimento and L. C. de Souza and André L. M. Vilela and H. Eugene Stanley and A. J. F. de Souza},
  journal= {arXiv preprint arXiv:2008.11861},
  year   = {2021}
}