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Majority-Vote Model On (3, 4, 6, 4) And (34, 6) Archimedean Lattices

Author

Listed:
  • F. W. S. LIMA

    (Departamento de Física, Universidade Federal do Piauí, 57072-970 Teresina, Piauí, Brazil)

  • K. MALARZ

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland)

Abstract

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Two examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase transition is observed in this system. The calculated values of the critical noise parameter areqc= 0.091(2)andqc= 0.134(3)for (3, 4, 6, 4) and (34, 6) Archimedean lattices, respectively. The critical exponents β/ν, γ/ν and 1/ν for this model are 0.103 (6), 1.596 (54), 0.872 (85) for (3, 4, 6, 4) and 0.114 (3), 1.632 (35), 0.98 (10) for (34, 6) Archimedean lattices. These results differs from the usual Ising model results and the majority-vote model on so-far studied regular lattices or complex networks. The effective dimensionalities of the system [Deff(3, 4, 6, 4) = 1.802(55)andDeff(34, 6) = 1.860(34)] for these networks are reasonably close to the embedding dimension two.

Suggested Citation

  • F. W. S. Lima & K. Malarz, 2006. "Majority-Vote Model On (3, 4, 6, 4) And (34, 6) Archimedean Lattices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1273-1283.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:09:n:s0129183106009849
    DOI: 10.1142/S0129183106009849
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    Cited by:

    1. Balankin, Alexander S. & Martínez Cruz, Miguel Ángel & Martínez, Alfredo Trejo, 2011. "Effect of initial concentration and spatial heterogeneity of active agent distribution on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3876-3887.

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