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      https://www.ias.ac.in/article/fulltext/pram/077/05/1007-1014

    • Keywords

       

      Disorder; nonlinear waves; thermal conductivity.

    • 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 $\kappa (T)$. 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 (Laptyeva et al, Europhys. Lett. 91, 30001 (2010)).

    • Author Affiliations

       

      Sergej Flach1 Mikhail Ivanchenko1 2 Nianbei Li1

      1. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
      2. Theory of Oscillations Department, University of Nizhniy Novgorod, Russia
    • Dates

       
  • Pramana – Journal of Physics | News

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