Superdiffusion of energy in a chain of harmonic oscillators with noise
Statistical Mechanics
2016-01-12 v3 Mathematical Physics
math.MP
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].
Keywords
Cite
@article{arxiv.1402.2988,
title = {Superdiffusion of energy in a chain of harmonic oscillators with noise},
author = {Milton Jara and Tomasz Komorowski and Stefano Olla},
journal= {arXiv preprint arXiv:1402.2988},
year = {2016}
}
Comments
New version with corrections. Diffusion of phonon modes remouved, it will appear in a forthcoming note