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Equilibrium and nonequilibrium models on Solomon networks

F. W. S. Lima ()
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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

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 11, 1-10

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.

Keywords: Solomon networks; Ising model; majority-vote model (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116501345

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