BENCHMARK RESULTS FOR PARTICLE-TRANSPORT IN BINARY NON-MARKOVIAN MIXTURES

Numerical benchmark results are reported for particle transport in a r andomly mixed binary medium, with the stochastic mixing described by a variety of stationary and homogeneous renewal statistics. Such statis tics are quantified by chord length distributions for the two immiscib le components of the mixture. A simple Monte Carlo procedure is used t o generate physical realizations of the statistics, and the transport equation is solved numerically for each realization. The ensemble-aver aged solutions and certain variance results are obtained by appropriat ely averaging over a large number of such calculations. The geometry c onsidered is the rod model of transport, in which particles are constr ained to move along a single axis.