Abstract
The nonlinear Schrödinger 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.
- Received 9 September 2009
DOI:https://doi.org/10.1103/PhysRevE.81.017601
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