Show simple item record

dc.contributor.authorBruna, Maria
dc.contributor.authorChapman, S. Jonathan
dc.date.accessioned2016-02-25T13:17:46Z
dc.date.available2016-02-25T13:17:46Z
dc.date.issued2012-01-03
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.
dc.identifier.issn1539-3755
dc.identifier.issn1550-2376
dc.identifier.pmid22400508
dc.identifier.doi10.1103/PhysRevE.85.011103
dc.identifier.urihttp://hdl.handle.net/10754/598271
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.
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.
dc.publisherAmerican Physical Society (APS)
dc.titleExcluded-volume effects in the diffusion of hard spheres
dc.typeArticle
dc.identifier.journalPhysical Review E
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


This item appears in the following Collection(s)

Show simple item record