Fokker-Planck equation for transport of wave packets in nonlinear disordered media
Disordered Systems and Neural Networks
2011-10-28 v2
Abstract
Starting from first principles, we formulate a theory of wave packet propagation in a nonlinear, disordered medium of any dimension, through the derivation of a Fokker-Planck transport equation. Our theory is based on a diagrammatic expansion of the wave packet's density, and is supported by a heuristic picture that involves a Boltzmann equation with an effective, external potential. Our approach also confirms results obtained in previous work for two-dimensional, nonlinear disordered media.
Keywords
Cite
@article{arxiv.1103.4840,
title = {Fokker-Planck equation for transport of wave packets in nonlinear disordered media},
author = {Nicolas Cherroret and Thomas Wellens},
journal= {arXiv preprint arXiv:1103.4840},
year = {2011}
}
Comments
15 pages, 3 figures