From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
Statistical Mechanics
2009-11-11 v1
Abstract
The evolution of infinitesimal, localized perturbations is investigated in a one-dimensional diatomic gas of hard-point particles (HPG) and thereby connected to energy diffusion. As a result, a Levy walk description, which was so far invoked to explain anomalous heat conductivity in the context of non-interacting particles is here shown to extend to the general case of truly many-body systems. Our approach does not only provide a firm evidence that energy diffusion is anomalous in the HPG, but proves definitely superior to direct methods for estimating the divergence rate of heat conductivity which turns out to be , in perfect agreement with the dynamical renormalization--group prediction (1/3).
Keywords
Cite
@article{arxiv.cond-mat/0507438,
title = {From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems},
author = {P. Cipriani and S. Denisov and A. Politi},
journal= {arXiv preprint arXiv:cond-mat/0507438},
year = {2009}
}
Comments
4 pages, 3 figures