Majority-vote model with a bimodal distribution of noises in small-world networks

André L.M. Vilela and Adauto J.F. de Souza

Physica A: Statistical Mechanics and its Applications, 2017, vol. 488, issue C, 216-223

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 q≠0 with probability f and 1−f, 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 β∕ν, γ∕ν, 1∕ν. 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: Sociophysics; Phase transition; Critical phenomena; Monte Carlo simulation; Finite-size scaling; Complex networks (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:488:y:2017:i:c:p:216-223

DOI: 10.1016/j.physa.2017.06.029

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