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 
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/
@article{TMF_1995_105_3_a6,
     author = {T. L. Kim and A. V. Serdyukov},
     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},
     pages = {412--422},
     year = {1995},
     volume = {105},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a6/}
}
TY  - JOUR
AU  - T. L. Kim
AU  - A. V. Serdyukov
TI  - Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1995
SP  - 412
EP  - 422
VL  - 105
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a6/
LA  - ru
ID  - TMF_1995_105_3_a6
ER  - 
%0 Journal Article
%A T. L. Kim
%A A. V. Serdyukov
%T Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 412-422
%V 105
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a6/
%G ru
%F TMF_1995_105_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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