Workshops

Macroscopic energy diffusion in a chain of an-harmonic oscillators

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Stefano Olla

2011-07-15
11:10:00 - 11:55:00

國際會議廳 , Astronomy and Mathematics Building

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. We use Varadhan’s approach for the hydrodynamic limit of non-gradient systems, and this is the first application of the method to a mechanical model with noise.

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