Show simple item record

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorHuveneers, François*
hal.structure.identifierUnité de Mathématiques Pures et Appliquées [UMPA-ENSL]
dc.contributor.authorBernardin, Cédric
HAL ID: 7637
*
dc.date.accessioned2012-01-13T14:24:05Z
dc.date.available2012-01-13T14:24:05Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7878
dc.language.isoenen
dc.subjectGreen-Kubo formulaen
dc.subjectnoiseen
dc.subjectanharmonic potentialen
dc.subjectdisordered harmonic chainen
dc.subjectthermal propertiesen
dc.subject.ddc519en
dc.titleSmall perturbation of a disordered harmonic chain by a noise and an anharmonic potentialen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUnité de Mathématiques Pures et Appliquées (UMPA-ENSL) http://www.umpa.ens-lyon.fr/ CNRS : UMR5669 – École Normale Supérieure de Lyon;France
dc.description.abstractenWe study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $\lambda \rightarrow 0$, and the anharmonicity by a parameter $\lambda' \le \lambda$. Let $\kappa$ be the conductivity of the chain, defined through the Green-Kubo formula. Under suitable hypotheses, we show that $\kappa = \mathcal O (\lambda)$ and, in the absence of anharmonic potential, that $\kappa \sim \lambda$. This is in sharp contrast with the ordered chain for which $\kappa \sim 1/\lambda$, and so shows the persitence of localization effects for a non-integrable dynamics.en
dc.relation.isversionofjnlnameProbability Theory and Related Fields
dc.relation.isversionofjnlvol157
dc.relation.isversionofjnlissue1-2
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages301-331
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00440-012-0458-8
dc.identifier.urlsitehttp://fr.arxiv.org/abs/1111.6383en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
hal.author.functionaut
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record