WAVE DELOCALIZATION IN NONLINEAR DISORDERED MEDIA

Flach, S.

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WAVE DELOCALIZATION IN NONLINEAR DISORDERED MEDIA

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Flach, S.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Flach, S. (2011). WAVE DELOCALIZATION IN NONLINEAR DISORDERED MEDIA. PHYSICAL PROPERTIES OF NANOSYSTEMS, 61-78.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-8DF7-0

Abstract

We analyze mechanisms and regimes of wave packet spreading in nonlinear disordered media. We predict that wave packets can spread in two regimes of strong and weak chaos. We discuss resonance probabilities, nonlinear diffusion equations, and predict a dynamical crossover from strong to weak chaos. The crossover is controlled by the ratio of nonlinear frequency shifts and the average eigenvalue spacing of eigenstates of the linear equations within one localization volume. We consider generalized models in higher lattice dimensions and obtain critical values for the nonlinearity power, the dimension, and norm density, which influence possible dynamical outcomes in a qualitative way.