Geodesic
Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 412-422 Cet article a éte moissonné depuis la source Math-Net.Ru

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The $d$-dimensional model of fully developed homogeneous anisotropic turbulence is studied by quantum-field renormalization group method. The generalization of model on systems with scalar passive admixture was also considered. It is shown that in the case of weak anisotropy the fixed point of isotropic model remains stable for $d>2.68$ and Kolmogorov's scaling law is preserved. The corrections to Prandtl number was found. 
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     title = {Quantum-field renormalization group in the theory of developed turbulence: {Consideration} of anisotropy and passive scalar admixtures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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T. L. Kim; A. V. Serdyukov. Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 412-422. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a6/

[1] Rubinstein R., Barton J.M., Phys. Fluids., 30 (1987), 2987 | DOI | Zbl

[2] Carati D., Brenig L., Phys. Rev., A40:9 (1989), 5193–5198 | DOI

[3] De Dominicis C., Martin P.C., Phys. Rev., A29:1 (1979), 419–422 | DOI

[4] Adzhemyan L.Ts., Vasilev A.H., Pismak Yu.M., TMF, 57:2 (1983), 268–281 | MR | Zbl

[5] Adzhemyan L.Ts., Vasilev A.N., Gnatich M., TMF, 58:1 (1984), 72–78 | Zbl

[6] Adzhemyan L.Ts., Antonov N.V., Kim T.L., TMF, 100:3 (1994), 382–401 | MR | Zbl

[7] Adzhemyan L.Ts., Hnatich M., Horvath D., Stehlik M., Instabilities in MHD turbulence generated by weak anisotropy, Preprint E 17-93-429, JINR, Dubna, 1993

[8] Honkonen J., Nalimov M.Yu., Randomly stirred turbulent flow. Expansion from twodimensional theory, Preprint HU-TFT-93-54, Helsinki, 1993