The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation

Showing that the nonclassical diffusion equation can be represented exactly by the nonclassical linear Boltzmann equation for an infinite homogeneous medium.

Title

The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation

Author(s)

Publication

Applied Mathematics Letters 53: 63–68

Description

We show that, by correctly selecting the probability distribution function for a particle’s distance-to-collision, the nonclassical diffusion equation can be represented exactly by the nonclassical linear Boltzmann equation for an infinite homogeneous medium. This choice of probability distribution function preserves the true mean-squared free path of the system.