Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...286..772l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 286, Nov. 15, 1984, p. 772-786.
Astronomy and Astrophysics
Astrophysics
20
Coronal Loops, Magnetohydrodynamic Stability, Magnetostatic Fields, Solar Corona, Solar Magnetic Field, Continuum Mechanics, Lines Of Force
Scientific paper
A class of solutions to magnetostatic calculations is examined for their fruitfulness in predicting the structures of solar coronal loops and their hydromagnetic stability in the presence of linear perturbations. An ideal, one-fluid, MHD equation describes a polytropic plasma and stability is analyzed rigorously in terms of continuum mechanics. It is noted that the polytropic approximation is crude, since little is known of coronal heating processes, but that the approach is transparent to easy physical interpretation. Attention is focused on global closed magnetic fields and classical helmet-streamer structures. Two classes of magnetostatic equilibrium solutions are obtained, and the existence of an open magnetic field is shown to lead to unstable equilibrium when the base length of the closed field region reaches a critical magnitude. No conclusions could be drawn regarding stability below the critical value.
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