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

Author

Listed:
  • 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)

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 (0

Suggested Citation

  • R. S. C. Brenda & F. W. S. Lima, 2018. "Majority-vote model on directed Small-World-Voronoi–Delaunay random lattices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-10, July.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:07:n:s0129183118500614
    DOI: 10.1142/S0129183118500614
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