Ising critical behavior of a non-Hamiltonian lattice system

J. Marro, Julio F. Fernández, J. M. González-Miranda, and M. Puma
Phys. Rev. E 50, 3237 – Published 1 October 1994
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Abstract

We study steady states in d-dimensional lattice systems that evolve in time by a probabilistic majority rule, which corresponds to the zero-temperature limit of a system with conflicting dynamics. The rule satisfies detailed balance for d=1 but not for d>1. We find numerically nonequilibrium critical points of the Ising class for d=2 and 3.

  • Received 21 March 1994

DOI:https://doi.org/10.1103/PhysRevE.50.3237

©1994 American Physical Society

Authors & Affiliations

J. Marro and Julio F. Fernández

  • Instituto Carlos I de Física Teórica y Computacional and Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Granada, E-18071 Granada, Spain

J. M. González-Miranda

  • Departamento de Física Fundamental, Facultad de Física, Universidad de Barcelona, Diagonal 647, E-08028 Barcelona, Spain

M. Puma

  • Departamento de Física, Universidad Simón Bolivar and Centro de Física, Instituto Venezolano de Investigaciones Científicas, Caracas, Venezuela

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Issue

Vol. 50, Iss. 4 — October 1994

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