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dc.contributor.authorBernardin, Cédric*
dc.contributor.authorHuveneers, François*
dc.contributor.authorOlla, Stefano*
dc.date.accessioned2018-09-07T12:40:54Z
dc.date.available2018-09-07T12:40:54Z
dc.date.issued2018
dc.identifier.issn0010-3616
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17984
dc.language.isoenen
dc.subjectEuler equations, Anderson localizationen
dc.subjectHydrodynamic limits radom environmenten
dc.subject.ddc520en
dc.titleHydrodynamic Limit for a Disordered Harmonic Chainen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a one-dimensional unpinned chain of harmonic oscillators with random masses. We prove that after hyperbolic scaling of space and time the distributions of the elongation, momentum and energy converge to the solution of the Euler equations. Anderson localization decouples the mechanical modes from the thermal modes, allowing the closure of the energy conservation equation even out of thermal equilibrium. This example shows that the derivation of Euler equations rests primarily on scales separation and not on ergodicity.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol365
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpages215-237en
dc.relation.isversionofdoi10.1007/s00220-018-3251-4en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01721245en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2018-09-07T12:35:03Z
hal.person.labIds199970*
hal.person.labIds60*
hal.person.labIds60*


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