Extremal principle for the steady state selection in driven lattice gases with open boundaries

Hager, J. S.
Institut für Theoretische Physik, Technische Hochschule Aachen,
D-52056 Aachen, Germany

Abstract:

In this paper I investigate the steady states of one dimensional driven lattice gases with open boundary conditions. I show how the extremal principle proposed recently by Popkov and Schütz can be modified to apply to more general cases. I present Monte-Carlo simulations for a one dimensional totally asymmetric simple exclusion process (TASEP) with nearest neighbor repulsion under parallel update as a example. The simulations enable one to guess the exact phase diagram for this particular lattice gas with deterministic bulk dynamics, by fitting the data to analytic formulae, which appear to be exact in the thermodynamic limit.