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arXiv · 1402.2988

Superdiffusion of energy in a chain of harmonic oscillators with noise

Milton Jara·Tomasz Komorowski·Stefano Olla
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Abstract

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].

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Milton Jara, Tomasz Komorowski, Stefano Olla. 2015-02-24. Superdiffusion of energy in a chain of harmonic oscillators with noise. https://doi.org/10.1007/s00220-015-2417-6

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