On the approximation of transport properties in structured materials using momentum-transfer theory

Boyle, G.J.;White, R.D.;Robson, R.E.;Dujko, S.;Petrovic, Z.Lj.

Abstract

In this paper, we present a fluid model for electrons and positrons in structured and soft-condensed matter utilizing dilute gas phase cross-sections together with a structure factor for the medium. Generalizations of the Wannier energy and Einstein (Nernst–Townsend) relations to account for coherent scattering effects present in soft-condensed matter are presented along with new expressions directly relating transport properties in the dilute gas and the structured matter phases. The theory is applied to electrons in a benchmark Percus–Yevick model and positrons in liquid argon, and the accuracy is tested against a multi-term solution of Boltzmann's equation (White and Robson 2011 Phys. Rev. E 84 031125).

Journal

New Journal of Physics

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New Journal of Physics

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1367-2630

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Institute of Physics Publishing

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DOI

10.1088/1367-2630/14/4/045011