Abstract:
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.
Citation:
T. L. Kim, A. V. Serdyukov, “Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures”, TMF, 105:3 (1995), 412–422; Theoret. and Math. Phys., 105:3 (1995), 1525–1533
\Bibitem{KimSer95}
\by T.~L.~Kim, A.~V.~Serdyukov
\paper Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures
\jour TMF
\yr 1995
\vol 105
\issue 3
\pages 412--422
\mathnet{http://mi.mathnet.ru/tmf1385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1605631}
\zmath{https://zbmath.org/?q=an:0923.76068}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 105
\issue 3
\pages 1525--1533
\crossref{https://doi.org/10.1007/BF02070873}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995VD44600007}
Linking options:
https://www.mathnet.ru/eng/tmf1385
https://www.mathnet.ru/eng/tmf/v105/i3/p412
This publication is cited in the following 13 articles:
Hnatic M. Kalagov G. Lucivjansky T., “Scaling Behavior in Interacting Systems: Joint Effect of Anisotropy and Compressibility”, Eur. Phys. J. B, 91:11 (2018), 269
E. Jurčišinová, M. Jurčišin, “Evidence for equivalence of diffusion processes of passive scalar and magnetic fields in anisotropic Navier-Stokes turbulence”, Phys. Rev. E, 95:5 (2017)
Jurcisinova E. Jurcisin M., “Diffusion in anisotropic fully developed turbulence: Turbulent Prandtl number”, Phys. Rev. E, 94:4 (2016), 043102
Gladyshev A.V. Jurcisinova E. Jurcisin M. Remecky R. Zalom P., “Anomalous Scaling of a Passive Scalar Field Near Two Dimensions”, Phys. Rev. E, 86:3, Part 2 (2012), 036302
E. Jurčišinová, M. Jurčišin, R. Remecký, “Influence of anisotropy on anomalous scaling of a passive scalar advected by the Navier-Stokes velocity field”, Phys. Rev. E, 80:4 (2009)
Hnatich, M, “Anomalous scaling of passively advected magnetic field in the presence of strong anisotropy”, Physical Review E, 71:6 (2005), 066312
Busa, J, “Influence of anisotropy on the scaling regimes in fully developed turbulence”, Acta Physica Slovaca, 52:6 (2002), 547
Hnatich M., Jonyova E., Jurcisin M., Stehlik M., “Stability of scaling regimes in d >= 2 developed turbulence with weak anisotropy”, Physical Review E, 64:1 (2001), 016312
Adzhemyan L.T., Antonov N.V., Hnatich M., Novikov S.V., “Anomalous scaling of a passive scalar in the presence of strong anisotropy”, Physical Review E, 63:2 (2001), 016309
Antonov, NV, “Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence”, Physical Review E, 60:4 (1999), 4043
N. V. Antonov, A. V. Runov, “Renormalization group in the theory of the two-dimensional turbulence: Instability of the fixed point with respect to weak anisotropy”, Theoret. and Math. Phys., 112:3 (1997), 1131–1139
Antonov, NV, “The renormalization group in the problem of turbulent convection of a passive scalar impurity with nonlinear diffusion”, Journal of Experimental and Theoretical Physics, 85:5 (1997), 898
Adzhemyan L.T., Antonov N.V., Vasilev A.N., “Quantum field renormalisation group in the theory of developed turbulence”, Uspekhi Fizicheskikh Nauk, 166:12 (1996), 1257–1284