Macroscopic energy diffusion for a chain of anharmonic oscillators

Details Macroscopic energy diffusion for a chain of anharmonic oscillators Macroscopic energy diffusion for a chain of anharmonic oscillators

2011-09-24

arxiv.org/abs/1109.5297v1

Physics

Mathematical Physics

Scientific paper

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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