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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 2, Pages 294–308 (Mi tmf5578)  
This article is cited in 7 scientific papers (total in 7 papers)

The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence

L. Ts. Adzhemyan, M. Yu. Nalimov

Saint-Petersburg State University
Full-text PDF (1628 kB) Citations (7)
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Abstract: A new approach to the description of fully developed turbulence is developed on the basis of the maximum entropy principle and the renormalization group. The Kolmogorov dimension for the velocity field is obtained, and a conjecture which explains the experimentally observed deviations from this dimension is proposed. The calculated anomalous dimension of the energy dissipation operator differs from the prediction of Kolmogorov's theory.
Received: 03.12.1991
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 2, Pages 532–542
DOI: https://doi.org/10.1007/BF01018851
Bibliographic databases:
Language: Russian
Citation: L. Ts. Adzhemyan, M. Yu. Nalimov, “The principle of maximum randomness in the theory of fully developed turbulence. I. Homogeneous isotropic turbulence”, TMF, 91:2 (1992), 294–308; Theoret. and Math. Phys., 91:2 (1992), 532–542
Citation in format AMSBIB
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\paper The principle of maximum randomness in the theory of fully developed turbulence.~I. Homogeneous isotropic turbulence
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\issue 2
\pages 294--308
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182540}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 2
\pages 532--542
\crossref{https://doi.org/10.1007/BF01018851}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KG55600008}
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  • https://www.mathnet.ru/eng/tmf5578
  • https://www.mathnet.ru/eng/tmf/v91/i2/p294
    Cycle of papers
    This publication is cited in the following 7 articles:
    1. Aurore Naso, Romain Monchaux, Pierre-Henri Chavanis, Bérengère Dubrulle, “Statistical mechanics of Beltrami flows in axisymmetric geometry: Theory reexamined”, Phys. Rev. E, 81:6 (2010)  crossref
    2. L. Ts. Adzhemyan, S. V. Borisenok, M. Yu. Nalimov, “Calculation of the spectra for developed decaying turbulence in the energy-containing and inertial regions”, Theoret. and Math. Phys., 106:3 (1996), 341–348  mathnet  crossref  crossref  zmath  isi
    3. 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
    4. L. Ts. Adzhemyan, S. V. Borisenok, V. I. Girina, “Renormalization group approach and short-distance expansion in theory of developed turbulence: Asymptotics of the triplex equal-time correlation function”, Theoret. and Math. Phys., 105:3 (1995), 1556–1565  mathnet  crossref  mathscinet  zmath  isi
    5. J. Honkonen, M. Yu. Nalimov, “Two-parameter expansion in the renormalization-group analysis of turbulence”, Z. Phys. B - Condensed Matter, 99:1 (1995), 297  crossref
    6. Harry L. Frisch, Michael Schulz, “Turbulence effects in the high dimensionality limit”, Physica A: Statistical Mechanics and its Applications, 211:1 (1994), 37  crossref
    7. L. Ts. Adzhemyan, M. Yu. Nalimov, “The principle of maximum randomness in the theory of fully developed turbulence. II. Isotropic decaying turbulence”, Theoret. and Math. Phys., 96:1 (1993), 872–878  mathnet  crossref  mathscinet  isi
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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