Radiative Transport in a Periodic Structure
Statistical Mechanics
2015-06-25 v1 Mathematical Physics
math.MP
Abstract
We derive radiative transport equations for solutions of a Schr\"odinger equation in a periodic structure with small random inhomogeneities. We use systematically the Wigner transform and the Bloch wave expansion. The streaming part of the radiative transport equations is determined entirely by the Bloch spectrum, while the scattering part by the random fluctuations.
Cite
@article{arxiv.cond-mat/9906120,
title = {Radiative Transport in a Periodic Structure},
author = {Guillaume Bal and Albert Fannjiang and George Papanicolaou and Leonid Ryzhik},
journal= {arXiv preprint arXiv:cond-mat/9906120},
year = {2015}
}