An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions
Mesoscale and Nanoscale Physics
2015-03-17 v1 Quantum Gases
Optics
Abstract
We develop an effective theory of pulse propagation in a nonlinear {\it and} disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel phenomena which we refer to as "locked explosion" and "diffusive" collapse. The equation can be applied to such distinct physical systems as laser beams propagating in disordered photonic crystals or Bose-Einstein condensates expanding in a disordered environment.
Keywords
Cite
@article{arxiv.1010.0726,
title = {An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions},
author = {G. Schwiete and A. M. Finkelstein},
journal= {arXiv preprint arXiv:1010.0726},
year = {2015}
}
Comments
15 pages, 11 figures. Prepared for "Perspectives of Mesoscopic Physics - Dedicated to Prof Yoseph Imry's 70th Birthday". This article is based on arXiv:0905.4722 [PRL 104, 103904 (2010)] and contains additional information and illustrations