Superdiffusion of energy in a chain of harmonic oscillators with noise
Résumé
We consider a one dimensional infinite chain of harmonic 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 governed by $\Delta|^{3/4}$. For a pinned system we prove that energy evolves diffusively, generalizing some of the results of [4].
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