Subdiffusion in the nonlinear Schrödinger equation with disorder

Alexander Iomin
Phys. Rev. E 81, 017601 – Published 27 January 2010

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

©2010 American Physical Society

Authors & Affiliations

Alexander Iomin

  • Department of Physics, Technion, Haifa 32000, Israel

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Vol. 81, Iss. 1 — January 2010

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