Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach
Exactly Solvable and Integrable Systems
2009-11-11 v2 Statistical Mechanics
Fluid Dynamics
Abstract
By employing Hopf's functional method, we find the exact characteristic functional for a simple nonlinear dynamical system introduced by Orszag. Steady-state equal-time statistics thus obtained are compared to direct numerical simulation. The solution is both non-trivial and strongly non-Gaussian.
Keywords
Cite
@article{arxiv.nlin/0506021,
title = {Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach},
author = {Ookie Ma and J. B. Marston},
journal= {arXiv preprint arXiv:nlin/0506021},
year = {2009}
}
Comments
6 pages and 2 figures