Fusion Rules and Conditional Statistics in Turbulent Advection

dc.creatorChing, Emily S. C.
dc.creatorL'vov, Victor S.
dc.creatorProcaccia, Itamar
dc.date1996-07-02
dc.date.accessioned2026-07-07T09:07:56Z
dc.date.available2026-07-07T09:07:56Z
dc.descriptionFusion 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.
dc.descriptionPRL, submitted, REVTeX, 4 pages, 4 figures (not included) PS Source of the paper with figures avalable at http://lvov.weizmann.ac.il/onlinelist.html
dc.identifierhttps://arxiv.org/abs/chao-dyn/9606017
dc.identifierhttp://arxiv.org/abs/chao-dyn/9606017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150544
dc.subjectChaotic Dynamics
dc.titleFusion Rules and Conditional Statistics in Turbulent Advection
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