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Current relaxation in nonlinear random media.

Tsampikos Kottos1, Matthias Weiss

  • 1Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, D-37073 Göttingen, Germany.

Physical Review Letters
|December 17, 2004
PubMed
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Nonlinear random systems exhibit wave packet decay, with a universal exponent of 2/3 indicating delocalization. This phenomenon, driven by nonlinearity, is observable in nonlinear optical waveguides.

Area of Science:

  • Condensed matter physics
  • Nonlinear dynamics
  • Wave propagation

Background:

  • Wave packet dynamics in disordered systems are crucial for understanding transport phenomena.
  • Localization phenomena in random media limit wave propagation.
  • Nonlinearity can fundamentally alter wave behavior in such systems.

Purpose of the Study:

  • To investigate the current relaxation and survival probability of a wave packet in a nonlinear random system.
  • To identify scaling laws governing the decay exponent.
  • To explore nonlinearity-induced delocalization and its experimental signatures.

Main Methods:

  • Theoretical analysis of wave packet dynamics.
  • Derivation of survival probability decay laws.

Related Experiment Videos

  • Identification of scaling relationships between nonlinearity strength and localization length.

    • Main Results:

    • Survival probability decays as P(t) ~ 1/t(alpha).
    • Intermediate-time exponent alpha follows a scaling law dependent on nonlinearity strength and localization length.
    • A universal decay exponent alpha=2/3 is found for strong nonlinearity, signifying delocalization.

    Conclusions:

    • Nonlinearity induces delocalization in random systems, altering wave packet decay.
    • The universal decay exponent of 2/3 provides a signature for this delocalization.
    • Experimental verification is expected in coupled nonlinear optical waveguides.