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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 2, Pages 351–366
DOI: https://doi.org/10.4213/tmf10130 (Mi tmf10130) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

P. M. Akhmet'ev

Pushkov Institute of Terrestrial Magnetism, the Ionosphere, and Radio Wave Propagation, Troitsk, Moscow, Russia
Full-text PDF (441 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10130
Abstract: It is well known that the magnetic helicity is not a single invariant in ideal magnetohydrodynamics. We study the problem of whether the exponent −1.7 of the slope of the turbulent spectrum of magnetic energy can be explained. An affirmative answer is obtained under the assumption that the quasiperiodic magnetic field is freely distributed over the scale. The answer is based on the use of the asymptotic Hopf invariant and the M-invariant (numerical measure of knottedness of magnetic lines).
Keywords: magnetic helicity, magnetic energy, M-invariant.
Funding agency Grant number
Russian Science Foundation 21-11-00010
The work is supported by the Russian Science Foundation (Grant No. 21-11-00010).
Received: 20.05.2021
Revised: 02.06.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 2, Pages 1620–1632
DOI: https://doi.org/10.1134/S0040577921110088
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. M. Akhmet'ev, “Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence”, TMF, 209:2 (2021), 351–366; Theoret. and Math. Phys., 209:2 (2021), 1620–1632
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10130
  • https://doi.org/10.4213/tmf10130
  • https://www.mathnet.ru/eng/tmf/v209/i2/p351
    • This publication is cited in the following 1 articles:
    1. P. M. Akhmet'ev, “Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence: M5-invariant of magnetic lines and its combinatorial formula”, Journal of Geometry and Physics, 178 (2022), 104583  crossref  mathscinet
    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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    Full-text PDF :57
    References:69
    First page:13
     
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