Majority-vote model on directed Small-World-Voronoi–Delaunay random lattices

R. S. C. Brenda () and F. W. S. Lima
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R. S. C. Brenda: Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049550, Teresina-PI, Brazil
F. W. S. Lima: Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049550, Teresina-PI, Brazil

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 07, 1-10

Abstract: We investigate the critical properties of the nonequilibrium majority-vote model in two-dimensions on directed small-world lattice with quenched connectivity disorder. The disordered system is studied through Monte Carlo simulations: the critical noise (T), as well as the critical exponents γ∕ν, β∕ν, and 1∕ν for several values of the rewiring probability p. We find that this disordered system does not belong to the same universality class as the regular two-dimensional ferromagnetic model. The majority-vote model on directed small-world lattices presents in fact a second-order phase transition with new critical exponents which do not depend on p (0Keywords: Monte Carlo simulations; Ising model; majority-vote model (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500614

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