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Macroscopic energy diffusion for a chain of anharmonic oscillators

Sasada, Makiko; Olla, Stefano (2013), Macroscopic energy diffusion for a chain of anharmonic oscillators, Probability Theory and Related Fields, 157, 3-4, p. 721-775. http://dx.doi.org/10.1007/s00440-012-0469-5

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00626266/fr/
Date
2013
Journal name
Probability Theory and Related Fields
Volume
157
Number
3-4
Publisher
Springer
Pages
721-775
Publication identifier
http://dx.doi.org/10.1007/s00440-012-0469-5
Metadata
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Author(s)
Sasada, Makiko
Olla, Stefano cc
Abstract (EN)
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.
Subjects / Keywords
spectral gap; non-gradient models; hydrodynamic limit; thermal conductivity; heat diffusion

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