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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorHuveneers, François
hal.structure.identifierDepartment of Mathematics and Statistics [Helsinki]
dc.contributor.authorLukkarinen, Jani
dc.date.accessioned2021-10-27T09:22:12Z
dc.date.available2021-10-27T09:22:12Z
dc.date.issued2020
dc.identifier.issn2643-1564
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22108
dc.language.isoenen
dc.subjectkinetic theoryen
dc.subjectNonequilibrium & irreversible thermodynamicsen
dc.subjectNonequilibrium statistical mechanicsen
dc.subject.ddc520en
dc.titlePrethermalization in a classical phonon field: Slow relaxation of the number of phononsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe investigate the emergence of an astonishingly long prethermal plateau in a classical phonon field, here, a harmonic chain with on-site pinning. Integrability is broken by a weak anharmonic on-site potential with strength λ. In the small λ limit, the approach to equilibrium of a translation invariant initial state is described by kinetic theory. However, when the phonon band becomes narrow, we find that the (nonconserved) number of phonons relaxes on much longer timescales than kinetic. We establish rigorous bounds on the relaxation time and develop a theory that yields exact predictions for the dissipation rate in the limit λ→0. We compare the theoretical predictions with data from molecular-dynamics simulations and find good agreement. Our Rapid Communication shows how classical systems may exhibit phenomena which, at the first glance, appear to require quantization.en
dc.relation.isversionofjnlnamePhysical Review Research
dc.relation.isversionofjnlvol2en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2020-04
dc.relation.isversionofdoi10.1103/PhysRevResearch.2.022034en
dc.relation.isversionofjnlpublisherAmerican Physical Societyen
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2021-10-27T09:14:32Z
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