Symmetry and Scaling of Turbulent Mixing

Details Symmetry and Scaling of Turbulent Mixing Symmetry and Scaling of Turbulent Mixing

1996-04-03

arxiv.org/abs/cond-mat/9604024v1

Physics

Condensed Matter

Plain TEX, 13 pages

Scientific paper

10.1103/PhysRevLett.77.2463

The stationary condition (Hopf equation) for the ($n$+1) point correlation function of a passive scalar advected by turbulent flow is argued to have an approximate $SL(n, R)$ symmetry which provides a starting point for the perturbative treatment of less symmetric terms. The large scale anisotropy is found to be a relevant field, in contradiction with Kolmogorov phenomenology, but in agreement with the large scalar skewness observed in shear flows. Exponents are not universal, yet quantitative predictions for experiments to test the $SL(n, R)$ symmetry can be formulated in terms of the correlation functions.

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