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| HAL : hal-00626266, version 3 |
| arXiv : 1109.5297 |
| DOI : 10.1007/s00440-012-0469-5 |
| Fiche détaillée |  Récupérer au format |
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| Probability Theory and Related Fields online (2012) 1-24 |
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| Versions disponibles : | v1 (24-09-2011) | v2 (02-08-2012) | v3 (24-10-2012) |
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| Macroscopic energy diffusion for a chain of anharmonic oscillators |
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| Stefano Olla 1, 2Makiko Sasada 3 |
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| (08/12/2012) |
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| We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve following an infinite dimensional linear stochastic differential equation driven by the linearized heat equation. We also give variational expressions for the thermal diffusivity and some upper and lower bounds. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| 2 : | MICMAC (INRIA Paris - Rocquencourt) |
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Ecole des Ponts ParisTech – INRIA |
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| 3 : | Departement of Mathematics |
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Keio University |
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| Domaine | : | Mathématiques/Physique mathématique Mathématiques/Probabilités Physique/Matière Condensée/Mécanique statistique |
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| heat diffusion – thermal conductivity – hydrodynamic limit – non-gradient models – spectral gap |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00626266, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00626266 | |
| oai:hal.archives-ouvertes.fr:hal-00626266 | |
| Contributeur : Stefano Olla | |
| Soumis le : Mercredi 24 Octobre 2012, 17:16:53 | |
| Dernière modification le : Mercredi 23 Janvier 2013, 16:53:22 | |
