Abstract for the talk at 07.02.2012 (15:15 h)

Oberseminar ANALYSIS
Stefan Olla (CEREMADE)
Macroscopic Energy Diffusion in a Chain of An-harmonic Oscillators
In Collaboration with Makiko Sasada (Keio University, Japan). We consider a chain of an-harmonic oscillators whose Hamiltonian dynamics is perturbed by a local energy conserving noise. Under a diffusive space-time rescaling, we prove that the fluctuations of the energy evolve following a linear SPDE, with diffusion coefficient given by the Green-Kubo formula.