Benchmark results for particle transport in binary non-markovian mixtures

Abstract

Numerical benchmark results are reported for particle transport in a randomly mixed binary medium, with the stochastic mixing described by a variety of stationary and homogeneous renewal statistics. Such statistics are quantified by chord length distributions for the two immiscible components of the mixture. A simple Monte Carlo procedure is used to generate physical realizations of the statistics, and the transport equation is solved numerically for each realization. The ensemble-averaged solutions and certain variance results are obtained by appropriately averaging over a large number of such calculations. The geometry considered is the rod model of transport, in which particles are constrained to move along a single axis.