Astronomy and Astrophysics – Astronomy
Scientific paper
May 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005apj...625..451l&link_type=abstract
The Astrophysical Journal, Volume 625, Issue 1, pp. 451-462.
Astronomy and Astrophysics
Astronomy
5
Magnetohydrodynamics: Mhd, Sun: Corona, Sun: Magnetic Fields
Scientific paper
We treat a long-standing difficulty with the boundary conditions for the governing equations derived in the third paper of this series describing magnetic fields in equilibrium in a three-dimensional atmosphere. The force-free magnetic fields are special cases of this magnetostatic model. Among the flux surfaces of these magnetic fields, those of constant twist parameter, the so-called α-surfaces, have a basic topological property previously pointed out by Aly for force-free fields. This property dictates a natural set of boundary conditions for the field equations and can be used to reduce the vector field equations to a novel form, illustrated here with analytical examples of three-dimensional force-free fields. The physical implications of this theoretical development for solar coronal magnetic fields are discussed.
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