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Stationary state in a two-temperature model with competing dynamics

Attila Szolnoki
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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.

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Attila Szolnoki. 1999-05-10. Stationary state in a two-temperature model with competing dynamics. https://doi.org/10.1103/physreve.60.2425

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