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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4041
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dc.contributor.authorKundu, Anupam-
dc.contributor.authorChaudhuri, A.-
dc.contributor.authorRoy, Dibyendu-
dc.contributor.authorDhar, Abhishek-
dc.contributor.authorLebowitz, J.L.-
dc.contributor.authorSpohn, Herbert-
dc.date.accessioned2011-04-08T09:38:01Z-
dc.date.available2011-04-08T09:38:01Z-
dc.date.issued2010-05-
dc.identifier.citationEurophysics Letters, 2010, Vol. 90, p40001en
dc.identifier.issn1286-4854-(Online)-
dc.identifier.issn0295-5075-
dc.identifier.urihttp://hdl.handle.net/2289/4041-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe investigate the steady state heat current in two and three dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates are compared with numerical results obtained using an exact formula for the current given in terms of a phonon transmission function, as well as by direct nonequilibrium simulations. We find that heat conduction by high-frequency modes is suppressed by localization while low-frequency modes are strongly affected by boundary conditions. Our {\color{black}heuristic} arguments show that Fourier's law is valid in a three dimensional disordered solid except for special boundary conditions. We also study the pinned case relevant to localization in quantum systems and often used as a model system to study the validity of Fourier's law. Here we provide the first numerical verification of Fourier's law in three dimensions. In the two dimensional pinned case we find that localization of phonon modes leads to a heat insulator.en
dc.language.isoenen
dc.publisherEDP Sciences / IOP / Società Italiana di Fisicaen
dc.relation.urihttp://arxiv.org/abs/1007.1877en
dc.relation.urihttp://dx.doi.org/10.1209/0295-5075/90/40001en
dc.relation.urihttp://adsabs.harvard.edu/abs/2010PhRvB..81f4301Cen
dc.rights2010 EPLAen
dc.subjectAnderson localizationen
dc.subjectthermal-conductivityen
dc.subjectamorphous-siliconen
dc.subjecttransporten
dc.subjectlattices glassesen
dc.titleHeat conduction and phonon localization in disordered harmonic crystalsen
dc.typeArticleen
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