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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1907
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dc.contributor.authorDhar, Abhishek-
dc.contributor.authorRoy, Dibyendu-
dc.date.accessioned2007-02-01T11:17:23Z-
dc.date.available2007-02-01T11:17:23Z-
dc.date.issued2006-11-
dc.identifier.citationJournal of Statistical Physics, 2006, Vol.125, p801-820en
dc.identifier.issn0022-4715-
dc.identifier.issn1572-9613 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/1907-
dc.descriptionRestricted Access. An open access version is available at arXiv.org.en
dc.description.abstractWe work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum Langevin equations for the system and solve these to obtain steady state properties such as currents and other second moments involving the position and momentum operators. The resulting expressions will be seen to be similar in form to results obtained for electronic transport using the non-equilibrium Green’s function formalism. As an application of the formalism we discuss heat conduction in a harmonic chain connected to self-consistent reservoirs. We obtain a temperature dependent thermal conductivity which, in the high-temperature classical limit, reproduces the exact result on this model obtained recently by Bonetto, Lebowitz and Lukkarinen.en
dc.format.extent267390 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urihttp://dx.doi.org/10.1007/s10955-006-9235-3en
dc.relation.urihttp://arxiv.org/abs/cond-mat/0606465en
dc.rights2006 by Springeren
dc.subjectHarmonic crystalen
dc.subjectquantum Langevin equationsen
dc.subjectnon-equilibrium Green’s functionen
dc.subjectFourier’s lawen
dc.titleHeat transport in harmonic latticesen
dc.typeArticleen
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