TURBULENCE WITH AN INFINITE NUMBER OF CONSERVATION-LAWS

Authors
FALKOVICH G
Citation
G. Falkovich, TURBULENCE WITH AN INFINITE NUMBER OF CONSERVATION-LAWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(3), 1994, pp. 2468-2471
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
3
Year of publication
1994
Pages
2468 - 2471
Database
ISI
SICI code
1063-651X(1994)49:3<2468:TWAINO>2.0.ZU;2-X
Abstract
It is shown that if the pair correlation function of any tracer in inc ompressible turbulent flow is scale invariant with the exponent zeta2, then the exponent of two-point function of 2nth order does not equal nzeta2. In this case, the probability distribution should depend, gene rally speaking, on an infinite number of parameters (fluxes of the int egrals). Three examples are considered: two-dimensional vorticity casc ade, action cascade in Clebsch variables, and entropy cascade in inhom ogeneously heated fluid.