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arXiv · 1304.1852

Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current

Martin Schmidt·Tsampikos Kottos·Boris Shapiro
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Abstract

We consider an ensemble of fully connected networks of N oscillators coupled harmonically with random springs and show, using Random Matrix Theory considerations, that both the average phonon heat current and its variance are scale-invariant and take universal values in the large N-limit. These anomalous mesoscopic uctuations is the hallmark of strong correlations between normal modes.

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Martin Schmidt, Tsampikos Kottos, Boris Shapiro. 2013-04-06. Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current. https://doi.org/10.1103/physreve.88.022126

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