Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics

Philip Greulich; Andreas Schadschneider

doi:10.1103/physreve.79.031107

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arXiv · 0810.3085

Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics

Philip Greulich·Andreas Schadschneider

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Abstract

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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Philip Greulich, Andreas Schadschneider. 2008-10-17. Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics. https://doi.org/10.1103/physreve.79.031107

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