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Equilibrium and nonequilibrium models on Solomon networks

F. W. S. Lima

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

E-mail Address: fwslima@gmail.com

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https://doi.org/10.1142/S0129183116501345Cited by:3 (Source: Crossref)

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:

PACS Nos.: 64.60.Cn, 05.10.Ln, 64.60.Fr, 75.10.Hk

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