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
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
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.