The mean-free path is calculated for a circular shell geometry under the assumptions of (i) billiard scattering and (ii) diffusive scattering. Similarly to a spherical shell geometry, displays qualitatively different behavior on the shell thickness D for the two models. Whereas, for the billiard model , the mean-free path in the diffusive scattering case is a complicated function involving complete and incomplete elliptic integrals of the first, second, and third kinds. Nevertheless, a linear combination of D and , where R is the outer circle radius, is shown to capture the functional dependence of in the diffusive scattering case remarkably well over almost the entire parameter range. Hopefully, future experiments on single and well-controlled dielectric-core–metal-shell nanowires could differentiate between the two models.
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