The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation
Mathematical Physics
2015-07-03 v1 math.MP
Nuclear Theory
Abstract
We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a non-classical transport equation. As a consequence, we indicate a method to solve diffusion-based approximations to the Boltzmann equation via Monte Carlo, with only statistical errors - no truncation errors.
Cite
@article{arxiv.1412.1000,
title = {The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation},
author = {Martin Frank and Kai Krycki and Edward W. Larsen and Richard Vasques},
journal= {arXiv preprint arXiv:1412.1000},
year = {2015}
}
Comments
16 pages, 3 figures