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arXiv · 1601.02207

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

Isaac Weinberg·Yaron de Leeuw·Tsampikos Kottos·Doron Cohen
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Abstract

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 $G \propto 1/L^{\alpha}$ with $\alpha=1$ 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.

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Isaac Weinberg, Yaron de Leeuw, Tsampikos Kottos, Doron Cohen. 2016-01-10. Resistor-network anomalies in the heat transport of random harmonic chain. https://doi.org/10.1103/physreve.93.062138

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