Geodesic
Magnetic helicity flux for mean magnetic field equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 130-141

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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. 
@article{TMF_2020_204_1_a7,
     author = {P. M. Akhmet'ev},
     title = {Magnetic helicity flux for mean magnetic field equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {130--141},
     publisher = {mathdoc},
     volume = {204},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_1_a7/}
}
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P. M. Akhmet'ev. Magnetic helicity flux for mean magnetic field equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 1, pp. 130-141. http://geodesic.mathdoc.fr/item/TMF_2020_204_1_a7/