A Reciprocal Formulation of Nonexponential Radiative Transfer. 1: Sketch and Motivation

DOI10.1080/23324309.2018.1481433OpenAlexW2793021730WikidataQ128689751 ScholiaQ128689751MaRDI QIDQ5029214

Eugene D'Eon

Publication date: 11 February 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03259

zbMATH Keywords

kinetic theoryreciprocitylinear transport theorystochastic mediageneralized linear Boltzmann equation

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (2)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry

Cites Work

• Radiative transfer and transport phenomena in stochastic media
• Generalized linear Boltzmann equation, describing non-classical particle transport, and related asymptotic solutions for small mean free paths
• Recent Results on the Periodic Lorentz Gas
• Rigorous Asymptotic and Moment-Preserving Diffusion Approximations for Generalized Linear Boltzmann Transport in Arbitrary Dimension
• Renewal theory for transport processes in binary statistical mixtures
• Isotropic Scattering in a Flatland Half-Space
• A Generalized Linear Transport Model for Spatially Correlated Stochastic Media
• Equation of State Calculations by Fast Computing Machines
• The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation

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