Nonequilibrium opinion dynamics on triangular, honeycomb, and Kagome lattices

F. W. S. Lima and N. Crokidakis ()
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F. W. S. Lima: Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, Teresina-PI, 64049-550, Brazil
N. Crokidakis: Instituto de Física, Universidade Federal Fluminense, Niterói, Rio de Janeiro, Brazil

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 10, 1-10

Abstract: The Ising model on all Archimedean lattices exhibits spontaneous ordering. Three examples of these lattices, namely triangular (36), honeycomb (63) and Kagome (3,6,3,6) lattices, are considered to study the kinetic continuous opinion dynamics model (KCOD) through extensive Monte Carlo simulations. The order/disorder phase transition is observed in all lattices for the KCOD. The estimated values of the critical disorder parameter are pc=0.123(3), pc=0.115(4), and pc=0.068(3) for 36, 63 and (3,6,3,6) lattices, respectively. The critical exponents β∕ν, γ∕ν and 1∕ν for the model are 0.15(5), 1.64(5), and 0.87(5); 0.14(3), 1.64(3), and 0.86(6); 0.12(4), 1.59(5), and 1.08(6), for (36), (63) and (3,6,3,6) lattices, respectively. These results agree with the majority-vote model on (36), (63), and (3,6,3,6) lattices but are different from KCOD model results on square lattices (44).

Keywords: Monte Carlo simulation; critical exponents; phase transition; nonequilibrium (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501236

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