Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...389..413r&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 389, April 10, 1992, p. 413-420.
Astronomy and Astrophysics
Astrophysics
2
Coronal Loops, Force-Free Magnetic Fields, Magnetic Flux, Magnetohydrodynamics, Relaxation (Mechanics), Solar Flares, Solar Magnetic Field, Free Energy, Lines Of Force, Magnetic Field Configurations, Solar Corona
Scientific paper
Consideration is given to the relaxation of a nonconstant-alpha force-free equilibrium - the Gold-Hoyle field - to linear force-free equilibria where alpha is a constant. The relaxation proceeds assuming the global magnetic helicity to be an invariant - the basis of the so-called Taylor hypothesis. The approach circumvents the need for sophisticated time-dependent nonlinear simulations, but relies heavily on the applicability of the Taylor hypothesis to the solar corona. Although there exists more than one possible value of alpha that satisfies the helicity constraint, it is suggested that the global minimum in stability terms occurs for the smallest alpha value. These alpha-minimum equilibria are found to contain up to 30-percent less energy than that stored in the original Gold-Hoyle tube.
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