Remark on the dissipation of the magnetic helicity integral

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 mag...

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Bibliographic Details
Published inTheoretical and mathematical physics Vol. 158; no. 1; pp. 125 - 134
Main Authors Akhmet’ev, P. M., Kunakovskaya, O. V., Kutvitskii, V. A.
Format Journal Article
LanguageEnglish
Published Boston Springer US 2009
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
magnetic helicity
standard model
dissipative effect
Fuller formula
magnetohydrodynamics
Călugărianu formula
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-009-0010-x