Radiative transport equation for the Mittag-Leffler path length distribution

DOI10.1063/1.4983682zbMath1364.82054OpenAlexW2618572694MaRDI QIDQ5738724

André Liemert, Alwin Kienle

Publication date: 12 June 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4983682

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Quantum optics (81V80) Transport processes in time-dependent statistical mechanics (82C70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Fractional partial differential equations (35R11) Green's functions for elliptic equations (35J08)

Related Items (2)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ Fractional radiative transport in the diffusion approximation

Uses Software

• mlrnd

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave-diffusion dualism of the neutral-fractional processes
• Spectral method for solution of the fractional transport equation
• The Wright functions as solutions of the time-fractional diffusion equation.
• Effective potential from the generalized time-dependent Schrödinger equation
• Rigorous Asymptotic and Moment-Preserving Diffusion Approximations for Generalized Linear Boltzmann Transport in Arbitrary Dimension
• Time-dependent Schrödinger-like equation with nonlocal term
• The time-fractional radiative transport equation—Continuous-time random walk, diffusion approximation, and Legendre-polynomial expansion
• The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform
• Fractional Boltzmann equation for multiple scattering of resonance radiation in low-temperature plasma
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• Fractional diffusion and wave equations
• The radiative transport equation in flatland with separation of variables
• Distributed order reaction-diffusion systems associated with Caputo derivatives
• AnF_Nmethod for the radiative transport equation in three dimensions
• The fundamental solution of the space-time fractional diffusion equation
• How to Construct Three-Dimensional Transport Theory Using Rotated Reference Frames
• The Green's function for the radiative transport equation in the slab geometry
• Fractional Schrödinger equation for a particle moving in a potential well
• Fractional wave equation and damped waves
• Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
• Modified spherical harmonics method for solving the radiative transport equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Radiative transport equation for the Mittag-Leffler path length distribution