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Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Arizona, USA.
Number of Authors: 22019 (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
2019. Vol. 174, no 3, p. 656-691
Keywords [en]
Generalized Langevin equation, Small mass limit, Multiscale analysis, Noise-induced drift, Thermophoresis
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-166564DOI: 10.1007/s10955-018-2192-9ISI: 000458663400008OAI: oai:DiVA.org:su-166564DiVA, id: diva2:1293269
Available from: 2019-03-04 Created: 2019-03-04 Last updated: 2019-03-04Bibliographically approved

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