The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation

Abstract

We show that, by correctly selecting the probability distribution function $p(s)$ 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 $p(s)$ preserves the $true$ mean-squared free path of the system, which sheds new light on the results obtained in previous work.

8 pages, 2 figures

References in corpus (1)

• The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation

Cited by in corpus (3)

• A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation
• Nonclassical Particle Transport in 1-D Random Periodic Media
• On the Application of the Analytical Discrete Ordinates Method to the Solution of Nonclassical Transport Problems in Slab Geometry