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Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.ORCID iD: 0000-0002-4649-673X
Univ Arizona, Program Appl Math, Tucson, AZ 85721 USA.;Univ Arizona, Dept Math, Tucson, AZ 85721 USA..
2019 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 174, no 3, p. 656-691Article in journal (Refereed) Published
Abstract [en]

We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate, the position variable of the system converges to a homogenized process, described by an equation containing additional drift terms induced by the noise. The convergence results are obtained using the main result in Hottovy et al. (Commun Math Phys 336(3): 1259-1283, 2015), whose version is proven here under a weaker spectral assumption on the damping matrix. We apply our results to study thermophoresis of a Brownian particle in a non-equilibrium heat bath.

Place, publisher, year, edition, pages
SPRINGER , 2019. Vol. 174, no 3, p. 656-691
Keywords [en]
Generalized Langevin equation, Small mass limit, Multiscale analysis, Noise-induced drift, Thermophoresis
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-272425DOI: 10.1007/s10955-018-2192-9ISI: 000458663400008Scopus ID: 2-s2.0-85057539307OAI: oai:DiVA.org:kth-272425DiVA, id: diva2:1425885
Note

QC 20200422

Available from: 2020-04-22 Created: 2020-04-22 Last updated: 2020-04-22Bibliographically approved

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