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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 1, Pages 150–160
DOI: https://doi.org/10.4213/tmf6305 (Mi tmf6305) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Remark on the dissipation of the magnetic helicity integral

P. M. Akhmet'eva, O. V. Kunakovskayab, V. A. Kutvitskiia

a Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
b Voronezh State University
Full-text PDF (457 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6305
Abstract: We prove that the current helicity integral for a thin magnetic tube is directly proportional to the twist Tw of field lines, which appears in the Călugărianu formula as a summand. Using this approach, we analyze the law of the variation of magnetic helicity in a conducting medium with a nonzero magnetic diffusion coefficient and also the equation of the phase transition of the magnetic field under early universe conditions.
Keywords: magnetohydrodynamics, magnetic helicity, dissipative effect, Călugărianu formula, Fuller formula, standard model.
Received: 10.10.2007
Revised: 08.05.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 1, Pages 125–134
DOI: https://doi.org/10.1007/s11232-009-0010-x
Bibliographic databases:
Language: Russian
Citation: P. M. Akhmet'ev, O. V. Kunakovskaya, V. A. Kutvitskii, “Remark on the dissipation of the magnetic helicity integral”, TMF, 158:1 (2009), 150–160; Theoret. and Math. Phys., 158:1 (2009), 125–134
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    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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