Approach to asymptotically diffusive behavior for Brownian particles in media with periodic diffusivities
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | DEAN, David S. | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | GUÉRIN, Thomas | |
| dc.date.created | 2014-10-02 | |
| dc.date.issued | 2014-12-08 | |
| dc.identifier.issn | 1539-3755 | |
| dc.description.abstractEn | We analyze the mean squared displacement of a Brownian particle in a medium with a spatially varying local diffusivity which is assumed to be periodic. When the system is asymptotically diffusive the mean squared displacement, characterizing the dispersion in the system, is, at late times, a linear function of time. A Kubo type formula is given for the mean squared displacement which allows the recovery of some known results for the effective diffusion constant $D_e$ in a direct way, but also allows an understanding of the asymptotic approach to the diffusive limit. In particular, as well as as computing the slope of a linear fit to the late time mean squared displacement, we find a formula for the constant where the fit intersects the y axis. | |
| dc.language.iso | en | |
| dc.publisher | American Physical Society | |
| dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
| dc.subject.en | Stochastic analysis methods | |
| dc.subject.en | Stochastic processes | |
| dc.title.en | Approach to asymptotically diffusive behavior for Brownian particles in media with periodic diffusivities | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1103/PhysRevE.90.062114 | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
| dc.identifier.arxiv | 1412.1496 | |
| bordeaux.journal | Physical Review E : Statistical, Nonlinear, and Soft Matter Physics | |
| bordeaux.page | 062114 (1-6) | |
| bordeaux.volume | 90 | |
| bordeaux.issue | 6 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01119884 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01119884v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20E%20:%20Statistical,%20Nonlinear,%20and%20Soft%20Matter%20Physics&rft.date=2014-12-08&rft.volume=90&rft.issue=6&rft.spage=062114%20(1-6)&rft.epage=062114%20(1-6)&rft.eissn=1539-3755&rft.issn=1539-3755&rft.au=DEAN,%20David%20S.&GU%C3%89RIN,%20Thomas&rft.genre=article |
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