2016/09/27 by João M. de Araújo, J. M. de Araújo, Cesar I. N. Sampaio Filho +6
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1609.08573
6 pages, 6 figures, 2 table
openalex publication_date 2016/09/27 · arxiv created 2018/05/29 · arxiv updated 2018/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. It is shown 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.