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dc.contributor.authorOlla, Stefano
dc.contributor.authorBernardin, Cedric
dc.date.accessioned2011-05-30T09:18:20Z
dc.date.available2011-05-30T09:18:20Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6350
dc.language.isoenen
dc.subjectnon-equilibrium stationary statesen
dc.subjectGreen-Kubo formulaen
dc.subjectThermal conductivityen
dc.subject.ddc519en
dc.titleTransport Properties of a Chain of Anharmonic Oscillators with random flip of velocitiesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherMICMAC (INRIA Paris - Rocquencourt);France
dc.contributor.editoruniversityotherUnité de Mathématiques Pures et Appliquées (UMPA-ENSL);France
dc.description.abstractenWe consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The extremities are coupled to thermostats at different temperature $T_\ell$ and $T_r$ and subject to constant forces $\tau_\ell$ and $\tau_r$. If the forces differ $\tau_\ell \neq \tau_r$ the center of mass of the system will move of a speed $V_s$ inducing a tension gradient inside the system. Our aim is to see the influence of the tension gradient on the thermal conductivity. We investigate the entropy production properties of the stationary states, and we prove the existence of the Onsager matrix defined by Green-kubo formulas (linear response). We also prove some explicit bounds on the thermal conductivity, depending on the temperature.en
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol145
dc.relation.isversionofjnlissue5
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages1224-1255
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10955-011-0385-6
dc.identifier.urlsitehttp://hal-ens-lyon.archives-ouvertes.fr/ensl-00589672/fr/
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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