Recovery of normal heat conduction in harmonic chains with correlated disorder

I. F. Herrera-González; F. M. Izrailev; L. Tessieri

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arXiv · 1503.06502

Recovery of normal heat conduction in harmonic chains with correlated disorder

I. F. Herrera-González·F. M. Izrailev·L. Tessieri

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Abstract

We consider heat transport in one-dimensional harmonic chains with isotopic disorder, focussing our attention mainly on how disorder correlations affect heat conduction. Our approach reveals that long-range correlations can change the number of low-frequency extended states. As a result, with a proper choice of correlations one can control how the conductivity $\kappa$ scales with the chain length $N$. We present a detailed analysis of the role of specific long-range correlations for which a size-independent conductivity is exactly recovered in the case of fixed boundary conditions. As for free boundary conditions, we show that disorder correlations can lead to a conductivity scaling as $\kappa \sim N^{\varepsilon}$, with the scaling exponent $\varepsilon$ being arbitrarily small (although not strictly zero), so that normal conduction is almost recovered even in this case.

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I. F. Herrera-González, F. M. Izrailev, L. Tessieri. 2015-03-23. Recovery of normal heat conduction in harmonic chains with correlated disorder. https://arxiv.org/abs/1503.06502

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