Heat Transport in Mesoscopic Systems
Abstract
Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway only through the mode cutoff frequencies is derived. Corrections due to reflections at the junction between the thermal body and the conducting bridge are found to be small except at very low temperatures where only the lowest few bridge modes are excited. Various non-equilibrium phonon distributions are studied: a narrow band distribution leads to clear steps in the cooling curve, analogous to the quantized resistance values in narrow wires, but a thermal distribution is too broad to show such features.
Cite
@article{arxiv.cond-mat/9801252,
title = {Heat Transport in Mesoscopic Systems},
author = {D. E. Angelescu and M. C. Cross and M. L. Roukes},
journal= {arXiv preprint arXiv:cond-mat/9801252},
year = {2009}
}
Comments
To be published in Superlattices and Microstructures, special issue in honor of Rolf Landauer, March 1988