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Quadratic helicities and the energy of magnetic fields

2011/10/05 by Петр Михайлович Ахметьев, Akhmet'ev, Petr M.
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #35Qxx #57Mxx #76Fxx #FOS: Mathematics #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Geometric Topology (math.GT) #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1110.0997

openalex publication_date 2011/10/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Two non-local asymptotic invariants of magnetic fields for the ideal magnetohydrodynamics are introduced. The velocity of variation of the invariants for a non-ideal magnetohydrodynamics with a small magnetic dissipation is estimated. By means of the invariants the spectra of electromagnetic fields are investigated. A possible role of higher magnetic helicities during a relaxation of magnetic fields is discussed.

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