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hal.structure.identifier
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
*
hal.structure.identifier
dc.contributor.authorSimon, Marielle
HAL ID: 7207
*
hal.structure.identifier
dc.contributor.authorKomorowski, Tomasz*
dc.date.accessioned2017-10-27T13:42:34Z
dc.date.available2017-10-27T13:42:34Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16839
dc.language.isoenen
dc.subjectmathématiques
dc.subjectphysique
dc.subjectmatière condensée
dc.subjectprobabilités
dc.subjectmécanique statistique
dc.subjectphysique mathématique
dc.subject.ddc519en
dc.titleMacroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider an unpinned chain of harmonic oscillators with periodic boundary conditions, whose dynamics is perturbed by a random flip of the sign of the velocities. The dynamics conserves the total volume (or elongation) and the total energy of the system. We prove that in a diffusive space-time scaling limit the profiles corresponding to the two conserved quantities converge to the solution of a diffusive system of differential equations. While the elongation follows a simple autonomous linear diffusive equation, the evolution of the energy depends on the gradient of the square of the elongation.
dc.relation.isversionofjnlnameKinetic & Related Models
dc.relation.isversionofjnlvol11
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpages615-645
dc.relation.isversionofdoi10.3934/krm.2018026
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01358979
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-19T16:56:08Z
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hal.author.functionaut
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