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

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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