Electron scattering and transport in simple liquid mixtures

TL;DR

This paper extends the Cohen and Lekner theory to simple liquid mixtures, developing benchmark models for electron transport in binary hard-sphere mixtures using the Percus-Yevick approximation and solving the Boltzmann equation.

Contribution

It introduces a multi-term Boltzmann equation solution for electron transport in binary mixtures, incorporating structure effects via the Percus-Yevick model.

Findings

Benchmark calculations for electron drift velocity and diffusion coefficients.

Effect of mixture structure on electron scattering cross-sections.

Transport properties across a range of electric field strengths.

Abstract

The theory for electron transport in simple liquids developed by Cohen and Lekner is extended to simple liquid mixtures. The focus is on developing benchmark models for binary mixtures of hard-spheres, using the Percus-Yevick model to represent the density structure effects. A multi-term solution of the Boltzmann equation is employed to investigate the effect of the binary mixture structure on hard-sphere electron scattering cross-sections and transport properties, including the drift velocity, mean energy, longitudinal and transverse diffusion coefficients. Benchmark calculations are established for electrons driven out of equilibrium by a range of reduced electric field strengths 0.1-100 Td.