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Ising critical behavior of a non-Halmiltonian lattice system
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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.
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MARRO, Joaquín, et al. Ising critical behavior of a non-Halmiltonian lattice system. Physical Review e. 1994. Vol. 50, num. 4, pags. 3237-3240. ISSN 1063-651X. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/18898