Scaling properties of fluctuations in stationary turbulence |
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| Authors: | Grossmann S |
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| Institution: | (1) Fachbereich Physik, Philipps-Universität, Renthof 6, D-3550 Marburg, Federal Republic of Germany |
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| Abstract: | Turbulent fluctuations are treated using a stationary distribution functionw
st for an order parameter field representing a fluid. Naive scale invariance ofw
st yields thek
–5/3 spectral law in three dimensions andk
–3 in two dimensions. The noise parameter of the stationary distribution is connected with energy flow or enstrophy conservation, respectively. In order to include fluctuations of the local energy dissipation a grand distribution function is introduced. |
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| Keywords: | |
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