This article is cited in 6 papers

Remark on the dissipation of the magnetic helicity integral

P. M. Akhmet'ev^a, O. V. Kunakovskaya^b, V. A. Kutvitskii<sup>a

a</sup> Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
^b Voronezh State University

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

DOI: 10.4213/tmf6305

 English version: Theoretical and Mathematical Physics, 2009, 158:1, 125–134

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