Spectra of Conformal Turbulence

Details Spectra of Conformal Turbulence Spectra of Conformal Turbulence

1992-12-02

arxiv.org/abs/hep-th/9212015v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, WIS-92/88/Nov-PH

Scientific paper

A set of different conformal solutions corresponding to a constant flux of squared vorticity is considered. Requiring constant fluxes of all inviscid vorticity invariants (higher powers of the vorticity), we come to the conclusion that the general turbulence spectrum should be given by Kraichnan's expression $E(k)\propto k\sp{-3}$. This spectrum, in particular, can be obtained as a limit of some subsequences of the conformal solutions.

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