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hal.structure.identifier
dc.contributor.authorHuveneers, François*
hal.structure.identifier
dc.contributor.authorDe Roeck, Wojciech*
dc.date.accessioned2014-01-15T13:19:28Z
dc.date.available2014-01-15T13:19:28Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12441
dc.language.isoenen
dc.subjectthermal conductivityen
dc.subjectnon-linear Schrödinger chainen
dc.subjectoscillator chainsen
dc.subject.ddc520en
dc.titleAsymptotic localization of energy in non-disordered oscillator chainsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study two popular one-dimensional chains of classical anharmonic oscillators: the rotor chain and a version of the discrete non-linear Schrödinger chain. We assume that the interaction between neighboring oscillators, controlled by the parameter $\epsilon >0$, is small. We rigorously establish that the thermal conductivity of the chains has a non-perturbative origin, with respect to the coupling constant $\epsilon$, and we provide strong evidence that it decays faster than any power law in $\epsilon$ as $\epsilon \rightarrow 0$. The weak coupling regime also translates into a high temperature regime, suggesting that the conductivity vanishes faster than any power of the inverse temperature.en
dc.relation.isversionofjnlnameCommunications on Pure and Applied Mathematics
dc.relation.isversionofjnlvol68
dc.relation.isversionofjnlissue9
dc.relation.isversionofjnldate2015
dc.relation.isversionofdoihttp://dx.doi.org/10.1002/cpa.21550
dc.identifier.urlsitehttp://fr.arxiv.org/abs/1305.5127en
dc.contributor.countryeditoruniversityotherInstituut voor Theoretische Fysica KU Leuven, Belgique
dc.relation.isversionofjnlpublisherWiley
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.submittednonen
dc.description.halcandidateoui
dc.description.audienceInternationale
dc.relation.Isversionofjnlpeerreviewedoui
hal.author.functionaut
hal.author.functionaut


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