Statistics of wave interactions in nonlinear disordered systems

Details Statistics of wave interactions in nonlinear disordered systems Statistics of wave interactions in nonlinear disordered systems

2010-05-26

arxiv.org/abs/1005.4820v2

Phys. Rev. E 82, 046221 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 7 figures

Scientific paper

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap integrals which determine the interaction strength, iii) the average spacing between eigenvalues of interacting modes, which sets a scale for the nonlinearity strength, and iv) resonance probabilities of interacting modes. Our results are discussed in the light of recent studies on spreading of wave packets in disordered nonlinear systems, and are related to the quantum many body problem in a random chain.

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