Anomalous energy transport in the FPU-beta chain
Mathematical Physics
2008-10-07 v1 math.MP
Abstract
We consider the energy current correlation function for the FPU-beta lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis of the linearized collision operator. We prove thereby that, on the basis of kinetic theory, the energy current correlations decay in time as t^(-3/5). It follows that the thermal conductivity is anomalous, increasing as N^(2/5) with the system size N.
Keywords
Cite
@article{arxiv.0704.1607,
title = {Anomalous energy transport in the FPU-beta chain},
author = {Jani Lukkarinen and Herbert Spohn},
journal= {arXiv preprint arXiv:0704.1607},
year = {2008}
}
Comments
33 pages, 2 EPS figures