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Majority-vote model with a bimodal distribution of noises

Author

Listed:
  • Vilela, André L.M.
  • Moreira, F.G.B.
  • de Souza, Adauto J.F.

Abstract

We consider the majority-vote dynamics where the noise parameter, associated with each spin on a two-dimensional square lattice, is a bimodally distributed random variable defined as q with probability (1−f) or zero with probability f, where 0≤f≤1 is the proportion of noiseless sites. We use Monte Carlo simulations and finite size scaling theory to characterize the ordered and disordered phases and study the phase transition of the model. We conclude that in the thermodynamic limit, the value of the critical noise below which there exists an ordered phase increases with f, the fraction of sites with zero noise. The calculation of the critical exponents shows that the introduction of disorder in the noise parameter does not alter the Ising critical behavior of the model system.

Suggested Citation

  • Vilela, André L.M. & Moreira, F.G.B. & de Souza, Adauto J.F., 2012. "Majority-vote model with a bimodal distribution of noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6456-6462.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6456-6462
    DOI: 10.1016/j.physa.2012.07.068
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    Cited by:

    1. Takamitsu Watanabe, 2020. "A numerical study on efficient jury size," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-7, December.
    2. Sidorchuk, Roman, 2012. "Impact of marketing on the lifecycle of small businesses in Russia," Annals of marketing-mba, Department of Marketing, Marketing MBA (RSconsult), vol. 3, November.

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