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arXiv · 0708.4171

Effect of phonon-phonon interactions on localization

Abhishek Dhar·J. L. Lebowitz
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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.

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Abhishek Dhar, J. L. Lebowitz. 2008-04-04. Effect of phonon-phonon interactions on localization. https://doi.org/10.1103/physrevlett.100.134301

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