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Equilibrium and nonequilibrium models on Solomon networks

Author

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  • F. W. S. Lima

    (Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina-PI, Brazil)

Abstract

We investigate the critical properties of the equilibrium and nonequilibrium systems on Solomon networks. The equilibrium and nonequilibrium systems studied here are the Ising and Majority-vote models, respectively. These systems are simulated by applying the Monte Carlo method. We calculate the critical points, as well as the critical exponents ratio γ∕ν, β∕ν and 1∕ν. We find that both systems present identical exponents on Solomon networks and are of different universality class as the regular two-dimensional ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.

Suggested Citation

  • F. W. S. Lima, 2016. "Equilibrium and nonequilibrium models on Solomon networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(11), pages 1-10, November.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:11:n:s0129183116501345
    DOI: 10.1142/S0129183116501345
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