Statistical theory of structure formation: self-organization
Fluid Dynamics
2009-04-26 v2 Plasma Physics
Abstract
We present the first prediction of the probability distribution function (PDF) for self-organization of shear flows modeled by a nonlinear diffusion equation with a stochastic forcing. A novel non-perturbative method based on a coherent structure is utilized for the prediction of the PDFs, revealing strong intermittency with exponential tails. Numerical simulations confirm these results. The predicted power spectra are also in a good agreement with simulation results. The results imply a significant probability of supercritical states due to stochastic perturbation in a variety of systems.
Cite
@article{arxiv.0812.0697,
title = {Statistical theory of structure formation: self-organization},
author = {Eun-jin Kim and Han-Li Liu and Johan Anderson},
journal= {arXiv preprint arXiv:0812.0697},
year = {2009}
}