Ising critical behavior of a non-Hamiltonian lattice system
Open Access
- 1 October 1994
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (4) , 3237-3240
- https://doi.org/10.1103/physreve.50.3237
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 3Keywords
This publication has 14 references indexed in Scilit:
- Monte Carlo study of a kinetic lattice model with random diffusion of disorderPhysical Review E, 1994
- A kinetic ANNNI modelJournal of Physics A: General Physics, 1994
- Kinetic lattice models of disorderJournal of Statistical Physics, 1994
- Ising Systems with Conflicting Dynamics: Exact Results for Random Interactions and FieldsEurophysics Letters, 1994
- Nonequilibrium phase transitions in lattice systems with random-field competing kineticsPhysical Review B, 1992
- Mean-field solution of a nonequilibrium random-exchange Ising-model systemPhysical Review B, 1992
- Isotropic majority-vote model on a square latticeJournal of Statistical Physics, 1992
- A Nonequilibrium Version of the Spin-Glass ProblemEurophysics Letters, 1991
- Effective Hamiltonian description of nonequilibrium spin systemsPhysical Review Letters, 1989
- Percolation in strongly correlated systemsPhysica A: Statistical Mechanics and its Applications, 1986