Phys. Rev. Lett. 93, 190604 (2004) [4 pages]Current Relaxation in Nonlinear Random MediaReceived 17 March 2004; published 4 November 2004 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 t≫t* 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.190604
DOI:
10.1103/PhysRevLett.93.190604
PACS:
05.60.Gg, 42.65.–k, 72.10.–d
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