Non-classical transport with angular-dependent path-length distributions. 1: Theory
Mathematical Physics
2016-02-03 v3 math.MP
Nuclear Theory
Atmospheric and Oceanic Physics
Abstract
This paper extends a recently introduced theory describing particle transport for random statistically homogeneous systems in which the distribution function p(s) for chord lengths between scattering centers is non-exponential. Here, we relax the previous assumption that p(s) does not depend on the direction of flight \Omega; this leads to an extended generalized linear Boltzmann equation that includes angular-dependent cross sections, and to an extended generalized diffusion equation that accounts for anisotropic behavior resulting from the statistics of the system.
Cite
@article{arxiv.1309.4817,
title = {Non-classical transport with angular-dependent path-length distributions. 1: Theory},
author = {Richard Vasques and Edward W. Larsen},
journal= {arXiv preprint arXiv:1309.4817},
year = {2016}
}
Comments
22 pages; Version 3: shortened title; corrected typos