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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 105, Number 3, Pages 412–422 (Mi tmf1385)  

This article is cited in 13 scientific papers (total in 13 papers)

Quantum-field renormalization group in the theory of developed turbulence: Consideration of anisotropy and passive scalar admixtures

T. L. Kim, A. V. Serdyukov

Saint-Petersburg State University
References:
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.
Received: 20.03.1995
English version:
Theoretical and Mathematical Physics, 1995, Volume 105, Issue 3, Pages 1525–1533
DOI: https://doi.org/10.1007/BF02070873
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\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
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\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:
    1. 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  crossref  mathscinet  isi
    2. 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)  crossref
    3. Jurcisinova E. Jurcisin M., “Diffusion in anisotropic fully developed turbulence: Turbulent Prandtl number”, Phys. Rev. E, 94:4 (2016), 043102  crossref  mathscinet  isi  elib  scopus
    4. 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  crossref  isi
    5. 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)  crossref
    6. Hnatich, M, “Anomalous scaling of passively advected magnetic field in the presence of strong anisotropy”, Physical Review E, 71:6 (2005), 066312  crossref  adsnasa  isi
    7. Busa, J, “Influence of anisotropy on the scaling regimes in fully developed turbulence”, Acta Physica Slovaca, 52:6 (2002), 547  isi
    8. 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  crossref  adsnasa  isi
    9. 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  crossref  mathscinet  adsnasa  isi
    10. Antonov, NV, “Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence”, Physical Review E, 60:4 (1999), 4043  crossref  mathscinet  adsnasa  isi
    11. 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  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. 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  crossref  adsnasa  isi
    13. 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  mathnet  mathnet  crossref  isi
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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