Universal time-dependent dispersion properties for diffusion in a one-dimensional critically tilted potential
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, David S. | |
dc.date.created | 2016-07-29 | |
dc.date.issued | 2017-01-06 | |
dc.identifier.issn | 2470-0045 | |
dc.description.abstractEn | We consider the time-dependent dispersion properties of overdamped tracer particles diffusing in a one-dimensional periodic potential under the influence of an additional constant tilting force F. The system is studied in the region where the force is close to the critical value F c at which the barriers separating neighboring potential wells disappear. We show that, when F crosses the critical value, the shape of the mean-square displacement (MSD) curves is strongly modified. We identify a diffusive regime at intermediate-time scales with an effective diffusion coefficient which is much larger than the late-time diffusion coefficient for F > F c , whereas for F < F c the late-time and intermediate-time diffusive regimes are indistinguishable. Explicit asymptotic regimes for the MSD curves are identified at all time scales. | |
dc.language.iso | en | |
dc.publisher | American Physical Society (APS) | |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
dc.title.en | Universal time-dependent dispersion properties for diffusion in a one-dimensional critically tilted potential | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1103/PhysRevE.95.012109 | |
dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
bordeaux.journal | Physical Review E | |
bordeaux.page | 012109 (1-7) | |
bordeaux.volume | 95 | |
bordeaux.issue | 1 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01452850 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01452850v1 | |
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