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Remark on the dissipation of the magnetic helicity integral
Authors:P M Akhmet’ev  O V Kunakovskaya  V A Kutvitskii
Institution:(1) Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radiowave Propagation, RAS, Troitsk, Moscow Oblast, Russia;(2) Voronezh State University, Voronezh, Russia
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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 1, pp. 150–160, January, 2009.
Keywords:magnetohydrodynamics  magnetic helicity  dissipative effect    lugă  rianu formula  Fuller formula  standard model
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