Transport and Boundary Scattering in Confined Geometries: Analytical Results
R. Richardson, Franco Nori (U. Michigan)
TL;DR
This paper derives analytical expressions to quantify how boundary scattering affects carrier mean-free paths in confined geometries, aiding the calculation of thermal conductivity in materials with different cross sections.
Contribution
It provides new analytical formulas for boundary scattering effects in rectangular and circular samples, enhancing thermal conductivity modeling in confined geometries.
Findings
Analytical expressions for boundary scattering in rectangular and circular samples.
Method to incorporate boundary effects into thermal conductivity calculations.
Improved understanding of carrier transport in confined geometries.
Abstract
We utilize a geometric argument to determine the effects of boundary scattering on the carrier mean-free path in samples of various cross sections. Analytic expressions for samples with rectangular and circular cross sections are obtained. We also outline a method for incorporating these results into calculations of the thermal conductivity.
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