Non-Gaussian Distributions in Extended Dynamical Systems
Condensed Matter
2009-10-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9307004,
title = {Non-Gaussian Distributions in Extended Dynamical Systems},
author = {Ravi Bhagavatula and C. Jayaprakash},
journal= {arXiv preprint arXiv:cond-mat/9307004},
year = {2009}
}
Comments
12 pages and 6 figs obtainable from the authors, LaTex file, OSU-preprint-2