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Transport and Boundary Scattering in Confined Geometries: Analytical Results

arXiv:cond-mat/9402081 · doi:10.1103/PhysRevB.48.15209

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.

35 pages, Latex