Thermal conductivity of nonlinear waves in disordered chains

Details Thermal conductivity of nonlinear waves in disordered chains Thermal conductivity of nonlinear waves in disordered chains

2011-01-24

arxiv.org/abs/1101.4530v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures

Scientific paper

We present computational data on the thermal conductivity of nonlinear waves in disordered chains. Disorder induces Anderson localization for linear waves and results in a vanishing conductivity. Cubic nonlinearity restores normal conductivity, but with a strongly temperature-dependent conductivity $\kappa(T)$. We find indications for an asymptotic low-temperature $\kappa \sim T^4$ and intermediate temperature $\kappa \sim T^2$ laws. These findings are in accord with theoretical studies of wave packet spreading, where a regime of strong chaos is found to be intermediate, followed by an asymptotic regime of weak chaos (EPL 91 (2010) 30001).

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