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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 72–78 (Mi tmf4294)  

This article is cited in 31 scientific papers (total in 31 papers)

Renormalization-group approach to the theory of turbulence. Inclusion of a passive admixture

L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich

Leningrad State University
References:
Abstract: The renormalization-group approach proposed by De Dominicis and Martin [1], which makes it possible to derive Kolmogorov scaling in the theory of well-developed turbulence, is generalized to the case of a system with an arbitrary passive admixture.
Received: 28.01.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 58, Issue 1, Pages 47–51
DOI: https://doi.org/10.1007/BF01031034
Bibliographic databases:
Language: Russian
Citation: L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Renormalization-group approach to the theory of turbulence. Inclusion of a passive admixture”, TMF, 58:1 (1984), 72–78; Theoret. and Math. Phys., 58:1 (1984), 47–51
Citation in format AMSBIB
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\by L.~Ts.~Adzhemyan, A.~N.~Vasil'ev, M.~Gnatich
\paper Renormalization-group approach to the theory of turbulence. Inclusion of a passive admixture
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\issue 1
\pages 72--78
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\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 58
\issue 1
\pages 47--51
\crossref{https://doi.org/10.1007/BF01031034}
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Linking options:
  • https://www.mathnet.ru/eng/tmf4294
  • https://www.mathnet.ru/eng/tmf/v58/i1/p72
  • This publication is cited in the following 31 articles:
    1. Nikolay V. Antonov, Michal Hnatič, Juha Honkonen, Polina I. Kakin, Tomáš Lučivjanský, Lukáš Mižišin, “Renormalized field theory for non-equilibrium systems”, Riv. Nuovo Cim., 2025  crossref
    2. N V Antonov, N M Gulitskiy, P I Kakin, A S Romanchuk, “Random walk on a random surface: implications of non-perturbative concepts and dynamical emergence of Galilean symmetry”, J. Phys. A: Math. Theor., 58:11 (2025), 115001  crossref
    3. Michal Hnatič, Tomáš Lučivjanský, Lukáš Mižišin, Yurii Molotkov, Andrei Ovsiannikov, “Renormalization Analysis of Magnetohydrodynamics: Two-Loop Approximation”, Universe, 10:6 (2024), 240  crossref
    4. Antonov N.V., Babakin A.A., Kakin P.I., “Strongly Nonlinear Diffusion in Turbulent Environment: a Problem With Infinitely Many Couplings”, Universe, 8:2 (2022), 121  crossref  isi
    5. N. V. Antonov, N. M. Gulitskii, M. M. Kostenko, T. Lučivjanský, “Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible turbulent flow”, Theoret. and Math. Phys., 200:3 (2019), 1294–1312  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. Michal Hnatič, Georgii Kalagov, Tomáš Lučivjanský, Peter Zalom, Springer Proceedings in Complexity, 11th Chaotic Modeling and Simulation International Conference, 2019, 95  crossref
    7. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Malyshev A.V., “Statistical Symmetry Restoration in Fully Developed Turbulence: Renormalization Group Analysis of Two Models”, Phys. Rev. E, 97:3 (2018), 033101  crossref  isi
    8. Jurcisinova E. Jurcisin M. Menkyna M., “Simultaneous Influence of Helicity and Compressibility on Anomalous Scaling of the Magnetic Field in the Kazantsev-Kraichnan Model”, Phys. Rev. E, 95:5 (2017), 053210  crossref  isi
    9. 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
    10. Hnatic M. Zalom P., Phys. Rev. E, 94:5 (2016), 053113  crossref  isi  elib  scopus
    11. Hnatic M. Honkonen J. Lucivjansky T., “Advanced Field-Theoretical Methods in Stochastic Dynamics and Theory of Developed Turbulence”, Acta Phys. Slovaca, 66:2-3 (2016), 69–265  isi
    12. Adzhemyan L.Ts. Antonov N.V. Gol'din P.B. Kompaniets M.V., “Anomalous Scaling of a Passive Vector Field in D Dimensions: Higher Order Structure Functions”, J. Phys. A-Math. Theor., 46:13 (2013), 135002  crossref  isi
    13. 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
    14. E. Jurčišinová, M. Jurčišin, R. Remecky, “Influence of helicity on the turbulent Prandtl number: Two-loop approximation”, Theoret. and Math. Phys., 169:2 (2011), 1573–1582  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    15. E. Jurčišinová, M. Jurčišin, R. Remecký, “Turbulent magnetic Prandtl number in kinematic magnetohydrodynamic turbulence: Two-loop approximation”, Phys. Rev. E, 84:4 (2011)  crossref
    16. E. Jurčišinová, M. Jurčišin, R. Remecký, “Comment on “Two-loop calculation of the turbulent Prandtl number””, Phys. Rev. E, 82:2 (2010)  crossref
    17. Jurcisinova, E, “Anomalous scaling of a passive vector advected by the Navier–Stokes velocity field”, Journal of Physics A-Mathematical and Theoretical, 42:27 (2009), 275501  crossref  isi
    18. Jurcisinova, E, “Combined effects of small scale anisotropy and compressibility on anomalous scaling of a passive scalar”, International Journal of Modern Physics B, 22:21 (2008), 3589  crossref  isi
    19. Antonov, NV, “Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection”, Journal of Physics A-Mathematical and General, 39:25 (2006), 7825  crossref  mathscinet  zmath  adsnasa  isi
    20. Adzhemyan, LT, “Anomalous scaling of a passive scalar advected by the Navier–Stokes velocity field: Two-loop approximation”, Physical Review E, 71:1 (2005), 016303  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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