Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach

Details Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach

2005-06-09

arxiv.org/abs/nlin/0506021v2

J. Stat. Mech. Th. Exp. 2005 P10007 (2005)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages and 2 figures

Scientific paper

10.1088/1742-5468/2005/10/P10007

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.

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