J. Marro et al., ISING CRITICAL-BEHAVIOR OF A NON-HAMILTONIAN LATTICE SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 3237-3240
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 sati
sfies detailed balance for d = 1 but not for d > 1. We find numericall
y nonequilibrium critical points of the Ising class for d = 2 and 3.