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hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorMANGEAT, M.
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorGUÉRIN, Thomas
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorDEAN, D.
dc.date.issued2020-06-17
dc.identifier.issn0021-9606
dc.description.abstractEnWe revisit the classic problem of the effective diffusion constant of a Brownian particle in a square lattice of reflecting impenetrable hard disks. This diffusion constant is also related to the effective conductivity of non-conducting and infinitely conductive disks in the same geometry. We show how a recently derived Green's function for the periodic lattice can be exploited to derive a series expansion of the diffusion constant in terms of the disk's volume fraction ϕ. Secondly we propose a variant of the Fick-Jacobs approximation to study the large volume fraction limit. This combination of analytical results is shown to describe the behavior of the diffusion constant for all volume fractions.
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.title.enEffective diffusivity of Brownian particles in a two dimensional square lattice of hard disks
dc.typeArticle de revue
dc.identifier.doi10.1063/5.0009095
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
bordeaux.journalJournal of Chemical Physics
bordeaux.page234109
bordeaux.volume152
bordeaux.issue23
bordeaux.peerReviewedoui
hal.identifierhal-03045638
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03045638v1
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