dc.contributor.author Huveneers, François dc.date.accessioned 2012-06-12T08:47:08Z dc.date.available 2012-06-12T08:47:08Z dc.date.issued 2012 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/9428 dc.language.iso en en dc.subject Weak interactions (Nuclear physics) dc.subject Heat -- Transmission dc.subject.ddc 520 en dc.title Thermal conductivity of disordered lattices in the weak coupling regime dc.type Document de travail / Working paper dc.description.abstracten We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon > 0$. We rigorously show, in two slightly different setups, that the conductivity has a non-perturbative origin. This means that it decays to zero faster than any polynomial in $\epsilon$ as $\epsilon\rightarrow 0$. It is then argued that this result extends to a disordered chain studied by Dhar and Lebowitz, and to a classical spins chain recently investigated by Oganesyan, Pal and Huse. dc.publisher.city Paris en dc.identifier.citationpages 20 dc.relation.ispartofseriestitle Université Paris-Dauphine dc.description.sponsorshipprivate oui en dc.subject.ddclabel Sciences connexes (physique, astrophysique) en dc.description.ssrncandidate non dc.description.halcandidate oui dc.description.readership recherche dc.description.audience International dc.date.updated 2016-10-11T14:35:31Z
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