Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current
Statistical Mechanics
2015-06-15 v1
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.
Keywords
Cite
@article{arxiv.1304.1852,
title = {Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current},
author = {Martin Schmidt and Tsampikos Kottos and Boris Shapiro},
journal= {arXiv preprint arXiv:1304.1852},
year = {2015}
}
Comments
6 pages,3 figures