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Noise induced phase transition in the S-state block voter model

Author

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  • de Araújo, João M.
  • Sampaio Filho, Cesar I.N.
  • Moreira, Francisco G.B.

Abstract

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. Our numerical results indicate 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.

Suggested Citation

  • de Araújo, João M. & Sampaio Filho, Cesar I.N. & Moreira, Francisco G.B., 2018. "Noise induced phase transition in the S-state block voter model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 642-649.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:642-649
    DOI: 10.1016/j.physa.2018.05.133
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    References listed on IDEAS

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    1. Galam, Serge, 2004. "Contrarian deterministic effects on opinion dynamics: “the hung elections scenario”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 453-460.
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