Effective diffusivity of Brownian particles in a two dimensional square lattice of hard disks
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | MANGEAT, M. | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | GUÉRIN, Thomas | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | DEAN, D. | |
| dc.date.issued | 2020-06-17 | |
| dc.identifier.issn | 0021-9606 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | American Institute of Physics | |
| dc.title.en | Effective diffusivity of Brownian particles in a two dimensional square lattice of hard disks | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1063/5.0009095 | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
| bordeaux.journal | Journal of Chemical Physics | |
| bordeaux.page | 234109 | |
| bordeaux.volume | 152 | |
| bordeaux.issue | 23 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03045638 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03045638v1 | |
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