This article is cited in 12 papers

Transfer of a Passive Vector Admixture by a Two-Dimensional Turbulent Flow

S. V. Novikov

Saint-Petersburg State University

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.

Keywords: turbulence, anomalous scaling, renormalization group (renormgroup), operator product expansion.

Received: 05.06.2002
Revised: 26.11.2002

DOI: 10.4213/tmf212

 English version: Theoretical and Mathematical Physics, 2003, 136:1, 936–950

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