Resistor-network anomalies in the heat transport of random harmonic chain
arXiv:1601.02207 · doi:10.1103/PhysRevE.93.062138
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 on the length of the sample. This is required by nanotechnology implementations because for such networks Fourier's law with 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.
arXiv comment9 pages, 8 figures, improved version
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