An energy formula for nonlinear force-free magnetic fields

Details An energy formula for nonlinear force-free magnetic fields An energy formula for nonlinear force-free magnetic fields

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...201..355b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 201, no. 2, Aug. 1988, p. 355-361.

Astronomy and Astrophysics

Astrophysics

27

Force-Free Magnetic Fields, Magnetic Flux, Solar Atmosphere, Solar Magnetic Field, Energy Distribution, Magnetic Field Configurations, Magnetohydrodynamics, Photosphere

Scientific paper

This paper describes the relation between energy and helicity integrals for nonlinear force-free fields, given arbitrary boundary conditions. First, the author reviews the relation of helicity integrals to structural properties of a field such as twist and shear. Helicity injection into an atmosphere due to boundary motions is also discussed. A gauge-invariant fieldline helicity is defined which measures the net twisting of magnetic flux about a given fieldline. The author then presents a formula for the energy of a force-free field in termns of these fieldine helicities. An expression for the energy of arbitrary fields, in terms of linking between magnetic fieldlines and the electrical current, is also given.

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