Statistical theory of structure formation: self-organization

Details Statistical theory of structure formation: self-organization Statistical theory of structure formation: self-organization

2008-12-03

arxiv.org/abs/0812.0697v2

Physics

Fluid Dynamics

Scientific paper

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.

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