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dc.contributor.authorHuveneers, François
dc.date.accessioned2012-06-12T08:47:08Z
dc.date.available2012-06-12T08:47:08Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/9428
dc.language.isoenen
dc.subjectWeak interactions (Nuclear physics)
dc.subjectHeat -- Transmission
dc.subject.ddc520en
dc.titleThermal conductivity of disordered lattices in the weak coupling regime
dc.typeDocument de travail / Working paper
dc.description.abstractenWe 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.cityParisen
dc.identifier.citationpages20
dc.relation.ispartofseriestitleUniversité Paris-Dauphine
dc.description.sponsorshipprivateouien
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2016-10-11T14:35:31Z


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