Effective Carrier Mean-Free Path in Confined Geometries
R. A. Richardson, Franco Nori (U. Michigan)
TL;DR
This paper introduces an analytical model for effective mean-free path in confined geometries, considering boundary scattering effects, and discusses its implications for phonon thermal conductivity in circular and rectangular samples.
Contribution
It provides new analytical expressions for effective mean-free path in confined geometries, linking boundary effects to transport properties.
Findings
Derived analytical formulas for effective mean-free path
Linked mean-free path to phonon thermal conductivity
Applicable to circular and rectangular cross sections
Abstract
The concept of exchange length is used to determine the effects of boundary scattering on transport in samples of circular and rectangular cross section. Analytical expressions are presented for an effective mean-free path for transport in the axial direction. The relationship to the phonon thermal conductivity is discussed. (This letter outlines the results presented in detail in the longer version, available as cond-mat/9402081)
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