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Uspekhi Fizicheskikh Nauk, 1985, Volume 145, Number 4, Pages 593–628
DOI: https://doi.org/10.3367/UFNr.0145.198504b.0593 (Mi ufn8295) 		 
This article is cited in 93 scientific papers (total in 93 papers)

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Kinematic dynamo in random flow

S. A. Molchanovab, A. A. Ruzmaikinab, D. D. Sokoloffab

a Lomonosov Moscow State University
b Keldysh Applied Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (2610 kB) Citations (93)
DOI: https://doi.org/10.3367/UFNr.0145.198504b.0593
Abstract: The growth of a magnetic field in a given random flow of a well-conducting liquid is considered. The known Lagrange solution for the transport of a frozen-in magnetic field is utilized. Magnetic diffusion is taken into account by averaging the result of this transport over a set of random trajectories. This permits a derivation of the equations for the mean magnetic field and its moments, as well as an investigation of the true (random) magnetic field. The field and its moments increase exponentially in the limit of large magnetic Reynolds numbers, and the field distribution becomes intermittent. The analysis is devoted mainly to streams that are restored after a definite time interval, but stationary flows with stochastic properties are also discussed.
English version:
Physics–Uspekhi, 1985, Volume 28, Issue 4, Pages 307–327
DOI: https://doi.org/10.1070/PU1985v028n04ABEH003869
Document Type: Article
UDC: 537.84
PACS: 47.65.-d, 47.27.Jv, 47.10.A-
Language: Russian
Citation: S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokoloff, “Kinematic dynamo in random flow”, UFN, 145:4 (1985), 593–628; Phys. Usp., 28:4 (1985), 307–327
Citation in format AMSBIB
\Bibitem{MolRuzSok85}
\by S.~A.~Molchanov, A.~A.~Ruzmaikin, D.~D.~Sokoloff
\paper Kinematic dynamo in random flow
\jour UFN
\yr 1985
\vol 145
\issue 4
\pages 593--628
\mathnet{http://mi.mathnet.ru/ufn8295}
\crossref{https://doi.org/10.3367/UFNr.0145.198504b.0593}
\transl
\jour Phys. Usp.
\yr 1985
\vol 28
\issue 4
\pages 307--327
\crossref{https://doi.org/10.1070/PU1985v028n04ABEH003869}
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    • This publication is cited in the following 93 articles:
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