Quantcast

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

Research paper by G. Schwiete, A. M. Finkelstein

Indexed on: 04 Oct '10Published on: 04 Oct '10Published in: Physics - Mesoscopic Systems and Quantum Hall Effect



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.