Superdiffusion of energy in a chain of harmonic oscillators with noise

Milton Jara, Tomasz Komorowski, Stefano Olla

Published 2014-02-12, updated 2015-02-24Version 3

We consider a one dimensional infinite chain of har- monic oscillators whose dynamics is perturbed by a stochastic term conserving energy and momentum. We prove that in the unpinned case the macroscopic evolution of the energy converges to a fractional diffusion. For a pinned system we prove that energy evolves diffusively, generalizing some of the results of [4].