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| HAL: hal-00701620, version 1 |
| DOI: 10.1142/9789814304634_0029 |
| Detailed view |  Export this paper |
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| ICMP'09 : XVIth International Congress on Mathematical Physics, Prague : Tchèque, République (2009) |
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| Heat equation from microscopic dynamics: a weak coupling approach |
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| Stefano Olla 1, 2 |
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| (2010) |
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| We consider the dynamics of weakly coupled anharmonic oscillators, perturbed by a energy conserving noise. The noise considered exchange independently the components of the momentum of each oscillator. We prove that in the weak-coupling/long time limit energies of oscillators evolve following stochastic autonomous system of equations. Under a further diffusive space-time scaling of this system, the energy evolves following a non-linear heat equation. |
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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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| Subject | : | Mathematics/Mathematical Physics |
| hal-00701620, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00701620 | |
| oai:hal.archives-ouvertes.fr:hal-00701620 | |
| From: Stefano Olla | |
| Submitted on: Friday, 25 May 2012 16:51:32 | |
| Updated on: Monday, 4 June 2012 10:50:20 | |
