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Nonequilibrium model on Archimedean lattices

  • Research Article
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Central European Journal of Physics

Abstract

On (4, 6, 12) and (4, 82) Archimedean lattices, the critical properties of the majority-vote model are considered and studied using the Glauber transition rate proposed by Kwak et al. [Kwak et al., Phys. Rev. E, 75, 061110 (2007)] rather than the traditional majority-vote with noise [Oliveira, J. Stat. Phys. 66, 273 (1992)]. We obtain T c and the critical exponents for this Glauber rate from extensive Monte Carlo studies and finite size scaling. The calculated values of the critical temperatures and Binder cumulant are T c = 0.651(3) and U *4 = 0.612(5), and T c = 0.667(2) and U *4 = 0.613(5), for (4, 6, 12) and (4, 82) lattices respectively, while the exponent (ratios) β/ν, γ/ν and 1/ν are respectively: 0.105(8), 1.48(11) and 1.16(5) for (4, 6, 12); and 0.113(2), 1.60(4) and 0.84(6) for (4, 82) lattices. The usual Ising model and the majority-vote model on previously studied regular lattices or complex networks differ from our new results.

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Authors and Affiliations

  1. Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64.049-550, Teresina, Piauí, Brazil

    F. Welington S. Lima

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  1. F. Welington S. Lima
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Correspondence to F. Welington S. Lima.

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Lima, F.W.S. Nonequilibrium model on Archimedean lattices. centr.eur.j.phys. 12, 185–191 (2014). https://doi.org/10.2478/s11534-014-0435-1

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  • DOI: https://doi.org/10.2478/s11534-014-0435-1

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