Fokker-Planck equation for transport of wave packets in nonlinear disordered media

Details Fokker-Planck equation for transport of wave packets in nonlinear disordered media Fokker-Planck equation for transport of wave packets in nonlinear disordered media

2011-03-24

arxiv.org/abs/1103.4840v2

Phys. Rev. E 84, 021114 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 3 figures

Scientific paper

10.1103/PhysRevE.84.021114

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.

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