Thermal conductivity of nonlinear waves in disordered chains

Pramana

Mikhail Ivanchenko1¹  Nianbei Li¹  Sergej Flach1¹ 

[1] Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany$$

关键词: Disorder;    nonlinear waves;    thermal conductivity.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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 ∼ 𝑇4 and intermediate temperature 𝜅 ∼ 𝑇2 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)).

【 授权许可】

Unknown