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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 1, Pages 130–141
DOI: https://doi.org/10.4213/tmf9877 (Mi tmf9877) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Magnetic helicity flux for mean magnetic field equations

P. M. Akhmet'ev

Tikhonov Moscow Institute of Electronics and Mathematics, National Research University "Higher School of Economics", Moscow, Russia
Full-text PDF (399 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9877
Abstract: The mean magnetic field equation describes the process of generating a magnetic field on a large scale as a result the EMF arising on a small scale. We consider the case where the large-scale magnetic field is also random and determine the density function of magnetic helicity. This function is invariant under gauge transformations of the magnetic vector potential. We study the equation for the magnetic helicity flux of a large-scale field and introduce a correction term related to the quadratic magnetic helicity invariant.
Keywords: magnetic helicity, magnetic energy, current helicity, highest moment of magnetic helicity.
Funding agency Grant number
Russian Foundation for Basic Research 19-52-53045
This research was supported by the Russian Foundation for Basic Research (Grant No. 19-52-53045 GFEN_a).
Received: 14.01.2020
Revised: 21.01.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 1, Pages 947–956
DOI: https://doi.org/10.1134/S0040577920070089
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. M. Akhmet'ev, “Magnetic helicity flux for mean magnetic field equations”, TMF, 204:1 (2020), 130–141; Theoret. and Math. Phys., 204:1 (2020), 947–956
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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