Nonlinear wave-packet dynamics in a disordered medium

Details Nonlinear wave-packet dynamics in a disordered medium Nonlinear wave-packet dynamics in a disordered medium

2009-05-28

arxiv.org/abs/0905.4722v1

Phys. Rev. Lett. 104, 103904 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

In this article we develop an effective theory of pulse propagation in a nonlinear 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. In this sense the equation can serve as a paradigmatic model, that 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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