Thermophoresis of Brownian particles driven by coloured noise

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dc.citation.issueNumber6en_US
dc.citation.volumeNumber99en_US
dc.contributor.authorHottovy, S.en_US
dc.contributor.authorVolpe, G.en_US
dc.contributor.authorWehr, J.en_US
dc.date.accessioned2016-02-08T09:44:54Z
dc.date.available2016-02-08T09:44:54Z
dc.date.issued2012en_US
dc.departmentDepartment of Mathematicsen_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractBrownian motion of microscopic particles is driven by collisions with surrounding fluid molecules. The resulting noise is not white, but coloured, due, e.g., to the presence of hydrodynamic memory. The noise characteristic time-scale is typically of the same order of magnitude as the inertial time-scale over which the particle's kinetic energy is lost due to friction. We demonstrate theoretically that, in the presence of a temperature gradient, the interplay between these two characteristic time-scales can have measurable consequences on the particle's long-time behaviour. Using homogenization theory, we analyse the infinitesimal generator of the stochastic differential equation describing the system in the limit where the two time-scales are taken to zero keeping their ratio constant and derive the thermophoretic transport coefficient, which, we find, can vary in both magnitude and sign, as observed in experiments. Studying the long-term stationary particle distribution, we show that particles accumulate towards the colder (positive thermophoresis) or the hotter (negative thermophoresis) regions depending on their physical parameters. © Copyright EPLA, 2012.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:44:54Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012en
dc.identifier.doi10.1209/0295-5075/99/60002en_US
dc.identifier.eissn1286-4854
dc.identifier.issn0295-5075
dc.identifier.urihttp://hdl.handle.net/11693/21332
dc.language.isoEnglishen_US
dc.publisherE D P Sciencesen_US
dc.relation.isversionofhttp://dx.doi.org/10.1209/0295-5075/99/60002en_US
dc.source.titleReviewed Europhysics Lettersen_US
dc.titleThermophoresis of Brownian particles driven by coloured noiseen_US
dc.typeArticleen_US

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