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Signatures of prelocalized states in classically chaotic systems
A Ossipov1, Tsampikos Kottos, T Geisel
1Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstrasse 10, D-37073 Göttingen, Germany.
Abstract:
We investigate the statistics of eigenfunction intensities P(/psi/(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(/psi/(2)) contradict the results of the optimal fluctuation method, but agree very well with the predictions of the nonlinear sigma model.