Stationary state in a two-temperature model with competing dynamics

Details Stationary state in a two-temperature model with competing dynamics Stationary state in a two-temperature model with competing dynamics

1999-05-10

arxiv.org/abs/cond-mat/9905126v1

Phys. Rev. E 60 (1999) 2425

Physics

Condensed Matter

Statistical Mechanics

4 pages, to be published in PRE

Scientific paper

10.1103/PhysRevE.60.2425

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.

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