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TMF, 1987, Volume 72, Number 3, Pages 369–383 (Mi tmf5338)  

This article is cited in 12 scientific papers (total in 12 papers)

Turbulent dynamo as spontaneous symmetry breaking

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

Leningrad State University

Abstract: Problem of large-scale turbulent dynamo in gyrotropic liquid is considered in the framework of quantum field-theoretical formulation of stochastic magnetic hydrodynamics [1]. It is shown that the gyrotropness (breaking of parity conservation) leads to instability which stabilizes itself by means of spontaneous arising of non-vanishing average of homogeneous magnetic field. The existence in the dynamo regime of specific long-living perturbations of the Alfven waves is predicted. Renormalization group and critical dimensions of all quantities considered are discussed.

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English version:
Theoretical and Mathematical Physics, 1987, 72:3, 940–950

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Received: 14.04.1986

Citation: L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, “Turbulent dynamo as spontaneous symmetry breaking”, TMF, 72:3 (1987), 369–383; Theoret. and Math. Phys., 72:3 (1987), 940–950

Citation in format AMSBIB
\by L.~Ts.~Adzhemyan, A.~N.~Vasil'ev, M.~Gnatich
\paper Turbulent dynamo as spontaneous symmetry breaking
\jour TMF
\yr 1987
\vol 72
\issue 3
\pages 369--383
\jour Theoret. and Math. Phys.
\yr 1987
\vol 72
\issue 3
\pages 940--950

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    This publication is cited in the following articles:
    1. 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
    2. Antonov, NV, “Persistence of small-scale anisotropies and anomalous scaling in a model of magnetohydrodynamics turbulence”, Physical Review E, 61:6 (2000), 6586  crossref  isi
    3. 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  isi
    4. Antonov, NV, “Turbulence with pressure: Anomalous scaling of a passive vector field”, Physical Review E, 68:4 (2003), 046306  crossref  isi
    5. Hnatich, M, “Toy models of developed turbulence”, Condensed Matter Physics, 8:1 (2005), 123  isi
    6. 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
    7. Chkhetiani, OG, “Influence of helicity on anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation”, Physical Review E, 74:3 (2006), 036310  crossref  isi
    8. Jurcisinova E. Jurcisin M. Remecky R. Zalom P., “Turbulent Magnetic Prandtl Number in Helical Kinematic Magnetohydrodynamic Turbulence: Two-Loop Renormalization Group Result”, Phys. Rev. E, 87:4 (2013), 043010  crossref  isi
    9. Antonov N.V. Kostenko M.M., “Anomalous Scaling in Magnetohydrodynamic Turbulence: Effects of Anisotropy and Compressibility in the Kinematic Approximation”, Phys. Rev. E, 92:5 (2015), 053013  crossref  isi
    10. Hnatic M. Zalom P., Phys. Rev. E, 94:5 (2016), 053113  crossref  isi  elib  scopus
    11. Antonov N.V. Gulitskiy N.M., “Logarithmic violation of scaling in anisotropic kinematic dynamo model”, XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM (Saint Petersburg, Russia, 8?12 September 2014), AIP Conference Proceedings, 1701, ed. Andrianov A. Brambilla N. Kim V. Kolevatov S., Amer Inst Physics, 2016, 100006  crossref  isi  scopus
    12. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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