The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation
Mathematical Physics
2016-02-03 v2 math.MP
Nuclear Theory
Abstract
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 preserves the mean-squared free path of the system, which sheds new light on the results obtained in previous work.
Cite
@article{arxiv.1508.02462,
title = {The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation},
author = {Richard Vasques},
journal= {arXiv preprint arXiv:1508.02462},
year = {2016}
}
Comments
8 pages, 2 figures