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Non-Gaussian diffusion near surfaces

hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorALEXANDRE, Arthur
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorLAVAUD, Maxime
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorFARES, Nicolas
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorMILLAN, Elodie
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorLOUYER, Yann
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorSALEZ, Thomas
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorAMAROUCHENE, Yacine
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, David S.
dc.date.accessioned2022-10-14T09:38:19Z
dc.date.available2022-10-14T09:38:19Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/164961
dc.description.abstractEnWe study the diffusion of finite-size particles confined close to a single wall and in double-wall planar channel geometries. The local diffusion constants are modified near the confining boundaries and depend on the distance to the latter. Displacement parallel to the walls is diffusive as characterized by its second cumulant (the variance), but a non-Gaussian nature can be demonstrated by the fact that its fourth cumulant is non-zero. Establishing a link with the well-known problem of Taylor dispersion, we provide a general expression for the fourth cumulant for general diffusivity tensors and also in the presence of potentials generated by either the walls or externally, for instance due to gravity. We then analyse experimentally and numerically the motion of a colloid in the direction parallel to the wall, for which the measured fourth cumulant is correctly predicted by our theory. This system is a well-controlled physical realization of a Brownian yet non-Gaussian motion generated by a fluctuating diffusivity mechanism for which the local diffusivity is quantified. These results can be used to provide additional tests and constraints for the inference of force maps and local transport properties near surfaces.
dc.description.sponsorshipPremières rencontres en environnement complexe - ANR-21-CE30-0020
dc.description.sponsorshipMouvement brownien au voisinage d'interfaces molles - ANR-21-ERCC-0010
dc.description.sponsorshipCapteur Interférométrique de Contraintes de Surface
dc.description.sponsorshipFrottements dans les systèmes complexes - ANR-21-CE06-0039
dc.language.isoen
dc.title.enNon-Gaussian diffusion near surfaces
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.identifier.arxiv2207.01880
bordeaux.hal.laboratoriesLaboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
hal.identifierhal-03713580
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03713580v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ALEXANDRE,%20Arthur&LAVAUD,%20Maxime&FARES,%20Nicolas&MILLAN,%20Elodie&LOUYER,%20Yann&rft.genre=preprint


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