Effect of phonon-phonon interactions on localization
Disordered Systems and Neural Networks
2009-11-13 v3 Statistical Mechanics
Abstract
We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays exponentially with system size N. Using simulations we find that even a small amount of anharmonicity leads to a J~1/N dependence, implying diffusive transport of energy.
Cite
@article{arxiv.0708.4171,
title = {Effect of phonon-phonon interactions on localization},
author = {Abhishek Dhar and J. L. Lebowitz},
journal= {arXiv preprint arXiv:0708.4171},
year = {2009}
}
Comments
4 pages, 2 figures, Published version