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arXiv · 1309.4817

Non-classical transport with angular-dependent path-length distributions. 1: Theory

Richard Vasques·Edward W. Larsen
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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.

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Richard Vasques, Edward W. Larsen. 2013-09-18. Non-classical transport with angular-dependent path-length distributions. 1: Theory. https://doi.org/10.1016/j.anucene.2013.12.021

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