Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics.
The asymmetric simple exclusion process with additional Langmuir kinetics, i.e., attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in the presence of randomly distributed inhomogeneities ("defects"). Using Monte Carlo simulations, we find a multitude of coexisting high- and low-density domains. The results are generic for one-dimensional driven diffusive systems with short-range interactions and can be understood in terms of a local extremal principle for the current profile. This principle is used to determine current profiles and phase diagrams as well as statistical properties of ensembles of defect samples.
Greulich
Philip
P
Fachrichtung Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany and Institut für Theoretische Physik, Universität zu Köln, D-50937 Köln, Germany.
Schadschneider
Andreas
A