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Article Dans Une Revue Probability Theory and Related Fields Année : 2012

Macroscopic energy diffusion for a chain of anharmonic oscillators

Résumé

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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Dates et versions

hal-00626266 , version 1 (24-09-2011)
hal-00626266 , version 2 (02-08-2012)
hal-00626266 , version 3 (24-10-2012)

Identifiants

Citer

Stefano Olla, Makiko Sasada. Macroscopic energy diffusion for a chain of anharmonic oscillators. Probability Theory and Related Fields, 2012, 157 (3-4), pp.721-775. ⟨10.1007/s00440-012-0469-5⟩. ⟨hal-00626266v3⟩
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