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

  • André L.M. Vilela
  • , Adauto J.F. de Souza

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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.

Original languageEnglish
Pages (from-to)216-223
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume488
DOIs
StatePublished - Dec 15 2017

Keywords

  • Complex networks
  • Critical phenomena
  • Finite-size scaling
  • Monte Carlo simulation
  • Phase transition
  • Sociophysics

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