Fine Boundary--Layer structure in Linear Transport Theory

TL;DR

This paper uncovers a new boundary-layer structure in linear transport theory that influences material interactions and improves computational modeling in radiative transfer and neutron transport.

Contribution

It identifies and characterizes a previously unrecognized boundary-layer structure affecting transport phenomena and computational approaches.

Findings

Discovery of a new boundary-layer structure in linear transport theory

Explanation of how this structure influences material interactions

Provides insights to bypass longstanding computational difficulties

Abstract

This contribution identifies and characterizes a previously unrecognized boundary--layer structure that occurs in the context of linear transport theory, with an impact on the fields of Radiative Transfer and Neutron Transport. The existence of this boundary layer structure, which governs the interactions between different materials, or between a material and vacuum, plays a critical role in a correct description of transport phenomena. Additionally, the boundary--layer phenomenology explains and helps bypass computational difficulties reported in the literature over the last several decades.