Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7374803 | Physica A: Statistical Mechanics and its Applications | 2018 | 21 Pages |
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 Sâ¤4 to a discontinuous transition for Sâ¥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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
João M. de Araújo, Cesar I.N. Sampaio Filho, Francisco G.B. Moreira,