Random-matrix-theory approach to mesoscopic fluctuations of heat current
Random-matrix-theory approach to mesoscopic fluctuations of heat current
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 fluctuations is the hallmark …