Abstract
We use Monte Carlo simulations and finite-size scaling theory to investigate the phase transition and critical behavior of the S-state block voter model on square lattices. Our numerical results indicate that the system exhibits an order–disorder phase transition at a given value of the noise parameter, which changes from a continuous transition for S≤4 to a discontinuous transition for S≥5. Moreover, for the cases of continuous transition, the calculated critical exponents indicate that the present studied nonequilibrium model system is in the same universality class of its counterpart equilibrium two-dimensional S-state Potts model. We also provide a first estimation of the long-range exponents governing the dependence on the range of interaction of the magnetization, the susceptibility, and the derivative of Binder’s cumulant.
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