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arXiv · 2008.11861

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

K. P. do Nascimento·L. C. de Souza·André L. M. Vilela·H. Eugene Stanley·A. J. F. de Souza
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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 $N = L^3$, 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.

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K. P. do Nascimento, L. C. de Souza, André L. M. Vilela, H. Eugene Stanley, A. J. F. de Souza. 2020-08-28. Short-time Monte Carlo simulation of the majority-vote model on cubic lattices. https://doi.org/10.1016/j.physa.2021.125973

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