Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102527 | Physica A: Statistical Mechanics and its Applications | 2017 | 15 Pages |
Abstract
We consider a generalized version of the majority-vote model in small-world networks. In our model, each site of the network has noise q=0 and qâ 0 with probability f and 1âf, respectively. The connections of the two-dimensional square lattice are rewired with probability p. We performed Monte Carlo simulations to characterize the order-disorder phase transition of the system. Through finite-size scaling analysis, we calculated the critical noise value qc and the standard critical exponents βâν, γâν, 1âν. Our results suggest that these exponents are different from those of the isotropic majority-vote model. We concluded that the zero noise fraction f when combined with the rewiring probability p drive the system to a different universality class from that of the isotropic majority-vote model.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
André L.M. Vilela, Adauto J.F. de Souza,