Abstract: | 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 κ(T). We find indications for an asymptotic low-temperature κ ∼ T
4 and intermediate temperature κ ∼ 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 (Laptyeva et al, Europhys. Lett.
91, 30001 (2010)). |