An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions

Details An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions

2010-10-04

arxiv.org/abs/1010.0726v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 11 figures. Prepared for "Perspectives of Mesoscopic Physics - Dedicated to Prof Yoseph Imry's 70th Birthday". This

Scientific paper

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.

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