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We generalize a simple Monte Carlo (MC) model for dilute gases to considerthe transport behavior of positrons and electrons in Percus-Yevick modelliquids under highly non-equilibrium conditions, accounting rigorously forcoherent scattering processes. The procedure extends an existing technique[Wojcik and Tachiya, Chem. Phys. Lett. 363, 3--4 (1992)], using the staticstructure factor to account for the altered anisotropy of coherent scatteringin structured material. We identify the effects of the approximation used inthe original method, and develop a modified method that does not require thatapproximation. We also present an enhanced MC technique that has been designedto improve the accuracy and flexibility of simulations in spatially-varyingelectric fields. All of the results are found to be in excellent agreement withan independent multi-term Boltzmann equation solution, providing benchmarks forfuture transport models in liquids and structured systems.

An improved Monte Carlo study of coherent scattering effects of low energy charged particle transport in Percus-Yevick liquids