Handle URI:
http://hdl.handle.net/10754/598271
Title:
Excluded-volume effects in the diffusion of hard spheres
Authors:
Bruna, Maria; Chapman, S. Jonathan
Abstract:
Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically using the method of matched asymptotic expansions. The result is a nonlinear diffusion equation for the one-particle distribution function, with excluded-volume effects enhancing the overall collective diffusion rate. An expression for the effective (collective) diffusion coefficient is obtained. Stochastic simulations of the full particle system are shown to compare well with the solution of this equation for two examples. © 2012 American Physical Society.
Citation:
Bruna M, Chapman SJ (2012) Excluded-volume effects in the diffusion of hard spheres. Phys Rev E 85. Available: http://dx.doi.org/10.1103/PhysRevE.85.011103.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
3-Jan-2012
DOI:
10.1103/PhysRevE.85.011103
PubMed ID:
22400508
Type:
Article
ISSN:
1539-3755; 1550-2376
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 and the program "Partial Differential Equations in Kinetic Theories" at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. The authors also thank Jose Antonio Carrillo for valuable discussions.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBruna, Mariaen
dc.contributor.authorChapman, S. Jonathanen
dc.date.accessioned2016-02-25T13:17:46Zen
dc.date.available2016-02-25T13:17:46Zen
dc.date.issued2012-01-03en
dc.identifier.citationBruna M, Chapman SJ (2012) Excluded-volume effects in the diffusion of hard spheres. Phys Rev E 85. Available: http://dx.doi.org/10.1103/PhysRevE.85.011103.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid22400508en
dc.identifier.doi10.1103/PhysRevE.85.011103en
dc.identifier.urihttp://hdl.handle.net/10754/598271en
dc.description.abstractExcluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically using the method of matched asymptotic expansions. The result is a nonlinear diffusion equation for the one-particle distribution function, with excluded-volume effects enhancing the overall collective diffusion rate. An expression for the effective (collective) diffusion coefficient is obtained. Stochastic simulations of the full particle system are shown to compare well with the solution of this equation for two examples. © 2012 American Physical Society.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 and the program "Partial Differential Equations in Kinetic Theories" at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. The authors also thank Jose Antonio Carrillo for valuable discussions.en
dc.publisherAmerican Physical Society (APS)en
dc.titleExcluded-volume effects in the diffusion of hard spheresen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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