Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current

Martin Schmidt, Tsampikos Kottos, Boris Shapiro

Published 2013-04-06Version 1

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.