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dc.contributor.authorKomorowski, Tomasz
dc.contributor.authorOlla, Stefano
dc.date.accessioned2019-10-14T10:00:49Z
dc.date.available2019-10-14T10:00:49Z
dc.date.issued2019-10
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20129
dc.language.isoenen
dc.subjectLangevin thermostaten
dc.subjectoscillatoren
dc.subject.ddc520en
dc.titleKinetic limit for a chain of harmonic oscillators with a point Langevin thermostaten
dc.typeDocument de travail / Working paper
dc.description.abstractenWe consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat attached at the origin and energy, momentum and volume conserving noise that models the collisions between atoms. The noise is rarefied in the limit, that corresponds to the hypothesis that in the macroscopic unit time only a finite number of collisions takes place (Boltzmann-Grad limit). We prove that, after the hyperbolic space-time rescaling, the Wigner distribution, describing the energy density of phonons in space-frequency domain, converges to a positive energy density function W (t, y, k) that evolves according to a linear kinetic equation, with the interface condition at y = 0 that corresponds to reflection, transmission and absorption of phonons. The paper extends the results of [3], where a thermostatted harmonic chain (with no inter-particle scattering) has been considered.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages52en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02305797en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2019
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-10-12T15:44:25Z
hal.person.labIds89537
hal.person.labIds60


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