Quadratic helicities and the energy of magnetic fields
Mathematical Physics
2011-10-06 v1 Geometric Topology
math.MP
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.
Keywords
Cite
@article{arxiv.1110.0997,
title = {Quadratic helicities and the energy of magnetic fields},
author = {Petr M. Akhmet'ev},
journal= {arXiv preprint arXiv:1110.0997},
year = {2011}
}