Resistor-network anomalies in the heat transport of random harmonic chains

Isaac Weinberg, Yaron De Leeuw, Tsampikos Kottos, Doron Cohen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider thermal transport in low-dimensional disordered harmonic networks of coupled masses. Utilizing known results regarding Anderson localization, we derive the actual dependence of the thermal conductance G on the length L of the sample. This is required by nanotechnology implementations because for such networks Fourier's law G 1/Lα with α=1 is violated. In particular we consider "glassy" disorder in the coupling constants and find an anomaly which is related by duality to the Lifshitz-tail regime in the standard Anderson model.

Original languageEnglish
Article number062138
JournalPhysical Review E
Issue number6
StatePublished - 27 Jun 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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