The University of Southampton
University of Southampton Institutional Repository

Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics

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.
1095-3787
031107-1 - 031107-14
Greulich, Philip
65da32ad-a73a-435a-86e0-e171437430a9
Schadschneider, Andreas
0d373623-9b5e-4c8a-874f-a620bf7a34f6
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, 031107-1 - 031107-14, [031107]. (doi:10.1103/PhysRevE.79.031107).

Record type: Article

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.

This record has no associated files available for download.

More information

Published date: 11 March 2009
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 412057
URI: http://eprints.soton.ac.uk/id/eprint/412057
ISSN: 1095-3787
PURE UUID: 700d249f-99b2-4b28-b571-25f41e325b5d
ORCID for Philip Greulich: ORCID iD orcid.org/0000-0001-5247-6738

Catalogue record

Date deposited: 05 Jul 2017 16:31
Last modified: 16 Mar 2024 04:17

Export record

Altmetrics

Contributors

Author: Philip Greulich ORCID iD
Author: Andreas Schadschneider

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×