Ab. Kolomeisky et al., PHASE-DIAGRAM OF ONE-DIMENSIONAL DRIVEN LATTICE GASES WITH OPEN BOUNDARIES, Journal of physics. A, mathematical and general, 31(33), 1998, pp. 6911-6919
We consider the asymmetric simple exclusion process (ASEP) with open b
oundaries and other driven stochastic lattice gases of particles enter
ing, hopping and leaving a one-dimensional lattice. The long-term syst
em dynamics, stationary states, and the nature of phase transitions be
tween steady states can be understood in terms of the interplay of two
characteristic velocities, the collective velocity and the shock (dom
ain wall) velocity. This interplay results in two distinct types of do
main walls whose dynamics is computed. We conclude that the phase diag
ram of the ASEP is generic for one-component driven lattice gases with
a single maximum in the current-density relation.