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

Ookie Ma·J. B. Marston
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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.

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Ookie Ma, J. B. Marston. 2005-06-27. Exact Equal Time Statistics of Orszag-McLaughlin Dynamics By The Hopf Characteristic Functional Approach. https://doi.org/10.1088/1742-5468%2F2005%2F10%2Fp10007

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