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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2020 Volume 204, Number 1, Pages 130–141 (Mi tmf9877)

This article is cited in 5 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

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.

Received: 14.01.2020
Revised: 21.01.2020

DOI: 10.4213/tmf9877


 English version:
Theoretical and Mathematical Physics, 2020, 204:1, 947–956

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© Steklov Math. Inst. of RAS, 2026