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

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 Ω; 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.

arXiv comment22 pages; Version 3: shortened title; corrected typos

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• Average Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries
• Non-classical transport with angular-dependent path-length distributions. 1: Theory
• Non-classical transport with angular-dependent path-length distributions. 2: Application to pebble bed reactor cores
• Recent Results on the Periodic Lorentz Gas

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