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

Autor: Nascimento, K. P. do, de Souza, L. C., Vilela, André L. M., Stanley, H. Eugene, de Souza, A. J. F.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.physa.2021.125973
Popis: 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 $\Psi$. We perform finite-time scaling analysis to accurately calculate the whole set of critical exponents, including the dynamical critical exponent $z=2.027(9)$, and the initial slip exponent $\theta = 0.1081(1)$. Our results indicate that the majority-vote model in three dimensions belongs to the same universality class of the three-dimensional Ising model.
Databáze: arXiv