1996/04/03 by Boris I Shraiman, Eric D Siggia · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevlett.77.2463
Plain TEX, 13 pages
arxiv created 1996/04/03 · arxiv updated 2009/11/30
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.