arXiv:1412.1000·v1·Mathematical Physics
The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation
Martin Frank · Kai Krycki · Edward W. Larsen · Richard Vasques
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.
Comments: 16 pages, 3 figures