dc.contributor.author Olla, Stefano dc.contributor.author Bernardin, Cedric dc.date.accessioned 2011-05-30T09:18:20Z dc.date.available 2011-05-30T09:18:20Z dc.date.issued 2011 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/6350 dc.language.iso en en dc.subject non-equilibrium stationary states en dc.subject Green-Kubo formula en dc.subject Thermal conductivity en dc.subject.ddc 519 en dc.title Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities en dc.type Article accepté pour publication ou publié dc.contributor.editoruniversityother MICMAC (INRIA Paris - Rocquencourt);France dc.contributor.editoruniversityother Unité de Mathématiques Pures et Appliquées (UMPA-ENSL);France dc.description.abstracten We 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.isversionofjnlname Journal of Statistical Physics dc.relation.isversionofjnlvol 145 dc.relation.isversionofjnlissue 5 dc.relation.isversionofjnldate 2011 dc.relation.isversionofjnlpages 1224-1255 dc.relation.isversionofdoi http://dx.doi.org/10.1007/s10955-011-0385-6 dc.identifier.urlsite http://hal-ens-lyon.archives-ouvertes.fr/ensl-00589672/fr/ dc.description.sponsorshipprivate oui en dc.relation.isversionofjnlpublisher Springer dc.subject.ddclabel Probabilités et mathématiques appliquées en
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