Author： Novikov S.V.
Publisher： Springer Publishing Company
ISSN： 0040-5779
Source： Theoretical and Mathematical Physics, Vol.136, Iss.1, 2003-07, pp. : 936-950
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Abstract
We consider a model of a passive vector field transfer by a random two-dimensional transverse velocity field that is uncorrelated in time and has Gaussian spatial statistics given by a powerlike correlator. We use the renormalization group and the operator product expansion techniques to show that the asymptotic approximation of the structure functions of a vector field in the inertial range is determined by the energy dissipation fluctuations. The dependence of the asymptotic approximation on the external scale of turbulence is essential and has a powerlike form (the case of an anomalous scaling). The corresponding exponents are calculated in the one-loop approximation for structure functions of an arbitrary order.
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