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 $\Psi$. 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.

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Cited by in corpus (3)

• Short-time dynamics in phase-ordering kinetics
• Finite-Size Scaling of the majority-voter model above the upper critical dimension
• When Does Population Diversity Matter? A Unified Framework for Binary-Choice Dynamics