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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.identifier
dc.contributor.authorBernardin, Cédric
HAL ID: 7637
*
dc.date.accessioned2011-05-10T07:43:48Z
dc.date.available2011-05-10T07:43:48Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6240
dc.language.isoenen
dc.subjectnon-equilibrium stationaryen
dc.subjectentropy productionen
dc.subjectheat conductionen
dc.subjectFourier’s lawen
dc.subject.ddc520en
dc.titleFourier's law for a microscopic model of heat conductionen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a chain of N harmonic oscillators perturbed by a conservative stochastic dynamics and coupled at the boundaries to two gaussian thermostats at different temperatures. The stochastic perturbation is given by a diffusion process that exchange momentum between nearest neighbor oscillators conserving the total kinetic energy. The resulting total dynamics is a degenerate hypoelliptic diffusion with a smooth stationary state. We prove that the stationary state, in the limit as N→ ∞, satisfies Fourier’s law and the linear profile for the energy average.en
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol121en
dc.relation.isversionofjnlissue3-4en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages271-289en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10955-005-7578-9en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
hal.author.functionaut
hal.author.functionaut


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