LIMITING CORRELATION LENGTH SOLUTIONS IN STOCHASTIC RADIATIVE-TRANSFER

The problem of particle transport through a Markovian stochastic mixtu re of two immiscible materials is considered. In the special case of r od geometry, both small and large correlation length limiting solution s are explicitly constructed. The analysis is general in the sense tha t independent fluctuations are allowed in both the single scatter albe do and the particle mean free path. These results are used to provide two new closures for a low order ensemble averaging of the stochastic equation of transfer. Numerical comparisons with Monte Carlo benchmark results are given to assess the accuracy of the proposed closures.