Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics

Details Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics

2008-10-17

arxiv.org/abs/0810.3085v1

Physical Review E 79, p. 031107 (2009)

Physics

Condensed Matter

Statistical Mechanics

submitted for publishing

Scientific paper

10.1103/PhysRevE.79.031107

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.

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