Non-equilibrium layered lattice gases

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Abstract
We have studied several non-equilibrium lattice gases with particle-conserving dynamics. The lattice consists of two planes, and particles interact (attract) only with nearest-neighbour particles within the same plane but may hop to the other. In addition to the standard heat bath at temperature T, a mechanism exists that biases a principal axis, namely, we assume either that particles are also driven by a constant field, or else that exchanges along the given axis occur completely at random as governed by an additional heat bath at infinite temperature. Kinetic mean-field theory and high-temperature series expansions reveal some interesting properties of steady states which we compare with the case of the plane. In particular, the system exhibits at T' the strong phase transition reported for driven gases, and also phase segregation below T*<T' whose nature varies with a dynamical rule.