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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 1, Pages 142–154
DOI: https://doi.org/10.4213/tmf1144 (Mi tmf1144) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The renormalization group investigation of correlation functions and composite operators of the model of stohastic magnetic hydrodynamics

L. Ts. Adzhemyan, D. Yu. Volchenckov, M. Yu. Nalimov

Saint-Petersburg State University
Full-text PDF (249 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf1144
Abstract: The scaling behaviour of correlation functions of the developed turbulence of stohastic magnetic hydrodynamics was studied by the method of renormalization group. The results known before were completed by the infrared asymptotics of Green functions with the arbitrary number of external fields both in “kinetic” and “magnetic” regimes. The problem of dynamical scaling behaviour of the magnetic regime is considered especially. The critical dimensions of composite operators of energy functional are calculated. By means of short distance expansion the problem of dependence of correlation functions beyond of integral turbulent scale within inertial range is investigated.
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 1, Pages 533–543
DOI: https://doi.org/10.1007/BF02071460
Bibliographic databases:
Language: Russian
Citation: L. Ts. Adzhemyan, D. Yu. Volchenckov, M. Yu. Nalimov, “The renormalization group investigation of correlation functions and composite operators of the model of stohastic magnetic hydrodynamics”, TMF, 107:1 (1996), 142–154; Theoret. and Math. Phys., 107:1 (1996), 533–543
Citation in format AMSBIB
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\paper The renormalization group investigation of correlation functions and composite operators of the model of stohastic magnetic hydrodynamics
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\pages 142--154
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
\issue 1
\pages 533--543
\crossref{https://doi.org/10.1007/BF02071460}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WC22100012}
Linking options:
  • https://www.mathnet.ru/eng/tmf1144
  • https://doi.org/10.4213/tmf1144
  • https://www.mathnet.ru/eng/tmf/v107/i1/p142
    • This publication is cited in the following 6 articles:
    1. Volchenkov, D, “What is control of turbulence in crossed fields?”, Communications in Nonlinear Science and Numerical Simulation, 15:2 (2010), 149  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    2. Dimitri Volchenkov, Nonlinear Physical Science, Long-range Interactions, Stochasticity and Fractional Dynamics, 2010, 219  crossref
    3. Volchenkov, D, “Renormalization group and instantons in stochastic nonlinear dynamics”, European Physical Journal-Special Topics, 170 (2009), 1  crossref  adsnasa  isi  scopus  scopus  scopus
    4. Volchenkov, D, “The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking”, International Journal of Modern Physics B, 15:8 (2001), 1147  crossref  adsnasa  isi  scopus  scopus  scopus
    5. Volchenkov, D, “Field-theoretic approach to a stochastic magnetohydrodynamics: the dimensions of composite operators”, Physics Letters A, 265:1–2 (2000), 122  crossref  adsnasa  isi  scopus  scopus  scopus
    6. 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  crossref  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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