Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-07-02
Nonlinear Sciences
Chaotic Dynamics
PRL, submitted, REVTeX, 4 pages, 4 figures (not included) PS Source of the paper with figures avalable at http://lvov.weizma
Scientific paper
Fusion rules in turbulence address the asymptotic properties of many-point correlation functions when some of the coordinates are very close to each other. Here we put to experimental test some non-trivial consequences of the fusion rules for scalar correlations in turbulence. To this aim we examine passive turbulent advection as well as convective turbulence. Adding one assumption to the fusion rules one obtains a prediction for universal conditional statistics of gradient fields. We examine the conditional average of the scalar dissipation field $\left<\nabla^2 T(\B.r)|T(\B.r+\B.R)-T(\B.r)\right>$ for $R$ in the inertial range, and find that it is linear in $T(\B.r+\B.R)-T(\B.r)$ with a fully determined proportionality constant. The implications of these findings for the general scaling theory of scalar turbulence are discussed.
Ching Emily S. C.
L'vov Victor S.
Procaccia Itamar
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