Current Relaxation in Nonlinear Random Media

Tsampikos Kottos and Matthias Weiss
Phys. Rev. Lett. 93, 190604 – Published 4 November 2004

Abstract

We study the current relaxation of a wave packet in a nonlinear random sample coupled to the continuum and show that the survival probability decays as P(t)1/tα. For intermediate times t<t*, the exponent α satisfies a scaling law α=f(Λ=χ/l), where χ is the nonlinearity strength and l is the localization length of the corresponding random system with χ=0. For tt* and χ>χcr we find a universal decay with α=2/3 which is a signature of the nonlinearity-induced delocalization. Experimental evidence should be observable in coupled nonlinear optical waveguides.

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  • Received 17 March 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.190604

©2004 American Physical Society

Authors & Affiliations

Tsampikos Kottos1 and Matthias Weiss2

  • 1Max-Planck-Institut für Strömungsforschung, Bunsenstraße 10, D-37073 Göttingen, Germany
  • 2MEMPHYS-Center for Biomembrane Physics, Physics Department, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

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Vol. 93, Iss. 19 — 5 November 2004

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