Geodesic
Transfer of a Passive Vector Admixture by a Two-Dimensional Turbulent Flow
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 1, pp. 52-68

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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.
Mots-clés : turbulence
Keywords: anomalous scaling, renormalization group (renormgroup), operator product expansion. 
@article{TMF_2003_136_1_a3,
     author = {S. V. Novikov},
     title = {Transfer of a {Passive} {Vector} {Admixture} by a {Two-Dimensional} {Turbulent} {Flow}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {52--68},
     publisher = {mathdoc},
     volume = {136},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_1_a3/}
}
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S. V. Novikov. Transfer of a Passive Vector Admixture by a Two-Dimensional Turbulent Flow. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 1, pp. 52-68. http://geodesic.mathdoc.fr/item/TMF_2003_136_1_a3/