Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
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.
031107-1 - 031107-14
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Schadschneider, Andreas
0d373623-9b5e-4c8a-874f-a620bf7a34f6
11 March 2009
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Schadschneider, Andreas
0d373623-9b5e-4c8a-874f-a620bf7a34f6
Greulich, Philip and Schadschneider, Andreas
(2009)
Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics.
Physical Review E, 79, , [031107].
(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.
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Published date: 11 March 2009
Organisations:
Applied Mathematics
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Local EPrints ID: 412057
URI: http://eprints.soton.ac.uk/id/eprint/412057
ISSN: 1095-3787
PURE UUID: 700d249f-99b2-4b28-b571-25f41e325b5d
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Date deposited: 05 Jul 2017 16:31
Last modified: 16 Mar 2024 04:17
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Author:
Andreas Schadschneider
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