Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
arXiv:0810.3085 · doi:10.1103/PhysRevE.79.031107
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.
submitted for publishing
References in corpus (12)
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Phase Coexistence in Driven One Dimensional Transport
- The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
- Bottleneck-induced transitions in a minimal model for intracellular transport
- Towards a model for protein production rates
- Towards a model for protein production rates
- Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
- Driven Diffusive Systems with Disorder
- Phase diagram and edge effects in the ASEP with bottlenecks
- Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder
- Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
- Hydrodynamic mean field solutions of 1D exclusion processes with spatially varying hopping rates