Subdiffusion in the Nonlinear Schroedinger Equation with Disorder

Details Subdiffusion in the Nonlinear Schroedinger Equation with Disorder Subdiffusion in the Nonlinear Schroedinger Equation with Disorder

2009-09-11

arxiv.org/abs/0909.2112v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The nonlinear Schroedinger equation in the presence of disorder is
considered. The dynamics of an initially localized wave packet is studied. A
subdiffusive spreading of the wave packet is explained in the framework of a
continuous time random walk. A probabilistic description of subdiffusion is
suggested and a transport exponent of subdiffusion is obtained to be 2/5.

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