Handle URI:
http://hdl.handle.net/10754/597713
Title:
Diffusion of multiple species with excluded-volume effects
Authors:
Bruna, Maria; Chapman, S. Jonathan
Abstract:
Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial differential equations. In this paper we consider multiple interacting subpopulations/species and study how the inter-species competition emerges at the population level. Each individual is described as a finite-size hard core interacting particle undergoing Brownian motion. The link between the discrete stochastic equations of motion and the continuum model is considered systematically using the method of matched asymptotic expansions. The system for two species leads to a nonlinear cross-diffusion system for each subpopulation, which captures the enhancement of the effective diffusion rate due to excluded-volume interactions between particles of the same species, and the diminishment due to particles of the other species. This model can explain two alternative notions of the diffusion coefficient that are often confounded, namely collective diffusion and self-diffusion. Simulations of the discrete system show good agreement with the analytic results. © 2012 American Institute of Physics.
Citation:
Bruna M, Chapman SJ (2012) Diffusion of multiple species with excluded-volume effects. J Chem Phys 137: 204116. Available: http://dx.doi.org/10.1063/1.4767058.
Publisher:
AIP Publishing
Journal:
The Journal of Chemical Physics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
2012
DOI:
10.1063/1.4767058
PubMed ID:
23205990
Type:
Article
ISSN:
0021-9606
Sponsors:
This publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). M. B. acknowledges financial support from EPSRC. The authors also thank M. Burger for helpful discussions and P. Degond for pointing out the connection between Onsager relations and symmetric systems.
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Full metadata record

DC FieldValue Language
dc.contributor.authorBruna, Mariaen
dc.contributor.authorChapman, S. Jonathanen
dc.date.accessioned2016-02-25T13:10:08Zen
dc.date.available2016-02-25T13:10:08Zen
dc.date.issued2012en
dc.identifier.citationBruna M, Chapman SJ (2012) Diffusion of multiple species with excluded-volume effects. J Chem Phys 137: 204116. Available: http://dx.doi.org/10.1063/1.4767058.en
dc.identifier.issn0021-9606en
dc.identifier.pmid23205990en
dc.identifier.doi10.1063/1.4767058en
dc.identifier.urihttp://hdl.handle.net/10754/597713en
dc.description.abstractStochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial differential equations. In this paper we consider multiple interacting subpopulations/species and study how the inter-species competition emerges at the population level. Each individual is described as a finite-size hard core interacting particle undergoing Brownian motion. The link between the discrete stochastic equations of motion and the continuum model is considered systematically using the method of matched asymptotic expansions. The system for two species leads to a nonlinear cross-diffusion system for each subpopulation, which captures the enhancement of the effective diffusion rate due to excluded-volume interactions between particles of the same species, and the diminishment due to particles of the other species. This model can explain two alternative notions of the diffusion coefficient that are often confounded, namely collective diffusion and self-diffusion. Simulations of the discrete system show good agreement with the analytic results. © 2012 American Institute of Physics.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). M. B. acknowledges financial support from EPSRC. The authors also thank M. Burger for helpful discussions and P. Degond for pointing out the connection between Onsager relations and symmetric systems.en
dc.publisherAIP Publishingen
dc.titleDiffusion of multiple species with excluded-volume effectsen
dc.typeArticleen
dc.identifier.journalThe Journal of Chemical Physicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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