Non-Gaussian Distributions in Extended Dynamical Systems

Details Non-Gaussian Distributions in Extended Dynamical Systems Non-Gaussian Distributions in Extended Dynamical Systems

1993-07-02

arxiv.org/abs/cond-mat/9307004v2

Physics

Condensed Matter

12 pages and 6 figs obtainable from the authors, LaTex file, OSU-preprint-2

Scientific paper

10.1103/PhysRevLett.71.3657

We propose a novel mechanism for the origin of non-Gaussian tails in the probability distribution functions (PDFs) of local variables in nonlinear, diffusive, dynamical systems including passive scalars advected by chaotic velocity fields. Intermittent fluctuations on appropriate time scales in the amplitude of the (chaotic) noise can lead to exponential tails. We provide numerical evidence for such behavior in deterministic, discrete-time passive scalar models. Different possibilities for PDFs are also outlined.

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