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Chaotic destruction of Anderson localization in a nonlinear lattice

Tietsche, S. and Pikovsky, A. (2008) Chaotic destruction of Anderson localization in a nonlinear lattice. Europhysics Letters, 84 (1). 10006. ISSN 0295-5075

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To link to this item DOI: 10.1209/0295-5075/84/10006

Abstract/Summary

We consider a scattering problem for a nonlinear disordered lattice layer governed by the discrete nonlinear Schrodinger equation. The linear state with exponentially small transparency, due to the Anderson localization, is followed for an increasing nonlinearity, until it is destroyed via a bifurcation. The critical nonlinearity is shown to decay with the lattice length as a power law. We demonstrate that in the chaotic regimes beyond the bifurcation the field is delocalized and this leads to a drastic increase of transparency. Copyright (C) EPLA, 2008

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > NCAS
Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:35888
Publisher:Institute of Physics Publishing

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