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Hydrodynamic limit for a chain with thermal and mechanical boundary forces

hal.structure.identifierInstitut of Mathematics - Polish Academy of Sciences [PAN]
dc.contributor.authorKomorowski, Tomasz
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
hal.structure.identifierLaboratoire Paul Painlevé - UMR 8524 [LPP]
dc.contributor.authorSimon, Marielle
HAL ID: 7207
dc.date.accessioned2021-11-03T10:44:32Z
dc.date.available2021-11-03T10:44:32Z
dc.date.issued2021
dc.identifier.issn1083-6489
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22159
dc.language.isoenen
dc.subjectBoundary conditionsen
dc.subjectFourier-Wigner functionsen
dc.subjectHarmonic chainen
dc.subjectHydrodynamic limiten
dc.subject.ddc520en
dc.titleHydrodynamic limit for a chain with thermal and mechanical boundary forcesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove the hydrodynamic limit for a one dimensional harmonic chain with a random flip of the momentum sign. The system is open and subject to two thermostats at the boundaries and to an external tension at one of the endpoints. Under a diffusive scaling of space-time, we prove that the empirical profiles of the two locally conserved quantities, the volume stretch and the energy, converge to the solution of a non-linear diffusive system of conservative partial differential equations.en
dc.relation.isversionofjnlnameElectronic Journal of Probability
dc.relation.isversionofjnlvol26en
dc.relation.isversionofjnldate2021-03
dc.relation.isversionofjnlpages1-49en
dc.relation.isversionofdoi10.1214/21-EJP581en
dc.relation.isversionofjnlpublisherInstitute of Mathematical Statisticsen
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.updated2021-11-03T10:40:40Z
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