Subdiffusion in the Nonlinear Schroedinger Equation with Disorder
Statistical Mechanics
2015-05-14 v1 Disordered Systems and Neural Networks
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.
Cite
@article{arxiv.0909.2112,
title = {Subdiffusion in the Nonlinear Schroedinger Equation with Disorder},
author = {Alexander Iomin},
journal= {arXiv preprint arXiv:0909.2112},
year = {2015}
}