Stationary state in a two-temperature model with competing dynamics

Abstract

A two-dimensional half-filled lattice gas model with nearest-neighbor attractive interaction is studied where particles are coupled to two thermal baths at different temperatures $T_1$ and $T_2$. The hopping of particles is governed by the heat bath at temperature $T_1$ with probability $p$ and the other heat bath $(T_2)$ with probability $1-p$ independently of the hopping direction. On a square lattice the vertical and horizontal interfaces become unstable while interfaces are stable in the diagonal directions. As a consequence, particles condense into a tilted square in the novel ordered state. The $p$-dependence of the resulting nonequilibrium stationary state is studied by Monte Carlo simulation and dynamical mean-field approximation as well.

4 pages, to be published in PRE

References in corpus (2)

• Self-organizing domain structure in a driven lattice gas
• Non-equilibrium phase transition in a two-temperature lattice gas

Cited by in corpus (4)

• Two temperature Ising Model
• Master Equation and Two Heat Reservoirs
• Theoretical Characterization of the Interface in a Nonequilibrium Lattice System
• Influence of extended dynamics on phase transitions in a driven lattice gas