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

Abstract

A lattice gas with infinite repulsion between particles separated by $\le 1$ 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.

8 pages, 5 figures; results due to bad random number generator corrected; significantly revised conclusions

References in corpus (2)

• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Slow Coarsening in a Class of Driven Systems

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