Radiative Transport in a Periodic Structure
- Author(s): Bal, Guillaume;
- Fannjiang, Albert;
- Papanicolaou, George;
- Ryzhik, Leonid
- et al.
Published Web Locationhttps://arxiv.org/pdf/cond-mat/9906120.pdf
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.