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arXiv · 0909.2112

Subdiffusion in the Nonlinear Schroedinger Equation with Disorder

Alexander Iomin
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Abstract

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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BibTeXRIS

Alexander Iomin. 2009-09-11. Subdiffusion in the Nonlinear Schroedinger Equation with Disorder. https://doi.org/10.1103/physreve.81.017601

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