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Signatures of prelocalized states in classically chaotic systems

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Ossipov,  A.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Kottos,  T.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Geisel,  T.
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Ossipov, A., Kottos, T., & Geisel, T. (2002). Signatures of prelocalized states in classically chaotic systems. Physical Review E, 65(5): 055209, pp. 055209-1-055209-4.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1793-D
Abstract
We investigate the statistics of eigenfunction intensities P(\\Ψ\\²) in dynamical systems with classical chaotic diffusion. Our results contradict some recent theoretical considerations that challenge the applicability of field theoretical predictions, derived in a different framework for diffusive disordered samples. For two-dimensional systems, the tails of P(\\Ψ\\²) contradict the results of the optimal fluctuation method, but agree very well with the predictions of the nonlinear σ model.