### Abstract

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximations. The evolution of the two-dimensional, half-filled system is described by an anisotropic Kawasaki dynamics assuming that the hopping of particles along the principal directions is governed by two heat baths at different temperatures T_{x} and T_{y}. The system undergoes an order-disorder phase transition as T_{x} (T_{y}) is varied for sufficiently low fixed T_{y} (T_{x}). The non-equilibrium phase transition remains continuous and the critical behaviour belongs to the Ising universality class. The measure of violation of the fluctuation-dissipation theorem can be controlled by the value of the fixed temperature. We have found an exponential decay of spatial correlations above the critical region in contrast to the two-temperature model with attractive interactions.

Original language | English |
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Pages (from-to) | 7791-7799 |

Number of pages | 9 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 30 |

Issue number | 22 |

DOIs | |

Publication status | Published - Nov 21 1997 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)