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First- and second-order phase transitions in a driven lattice gas with nearest-neighbor exclusion

Ronald Dickman
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Abstract

A lattice gas with infinite repulsion between particles separated by $\leq 1$ lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive favoring movement along one axis of the square lattice. The equilibrium (zero drive) transition to a phase with sublattice ordering, known to be continuous, shifts to lower density, and becomes discontinuous for large bias. In the ordered nonequilibrium steady state, both the particle and order-parameter densities are nonuniform, with a large fraction of the particles occupying a jammed strip oriented along the drive. The relaxation exhibits features reminiscent of models of granular and glassy materials.

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Ronald Dickman. 2000-10-31. First- and second-order phase transitions in a driven lattice gas with nearest-neighbor exclusion. https://doi.org/10.1103/physreve.64.016124

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