Structure and stability of constant-alpha force-free fields

Details Structure and stability of constant-alpha force-free fields Structure and stability of constant-alpha force-free fields

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apjs...59..433b&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 59, Nov. 1985, p. 433-444.

Statistics

Computation

76

Field Theory (Physics), Magnetic Field Configurations, Magnetohydrodynamic Stability, Solar Atmosphere, Solar Magnetic Field, Boundary Conditions, Boundary Value Problems, Computational Astrophysics, Magnetic Flux, Zero Force Curves

Scientific paper

The author presents an expression for the magnetic helicity in spherical and planar geometries with inhomogeneous boundary conditions, and applies it to constant-α fields. The relations between helicity, energy, α, and the volume of the force-free region are described. If the volume is increased indefinitely with fixed helicity, the field approaches the potential state. The field of minimum α for a given helicity is stable to all fixed-boundary helicity-preserving perturbations.

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