Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jgr....9511919f&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 95, Aug. 1, 1990, p. 11919-11931.
Astronomy and Astrophysics
Astrophysics
96
Catastrophe Theory, Ideal Fluids, Magnetohydrodynamic Waves, Solar Corona, Solar Flares, Stellar Mass Ejection, Diurnal Variations, Magnetic Field Reconnection, Solar Prominences, Temporal Distribution
Scientific paper
Van Tend and Kuperus (1978) proposed a simple catastrophe model for magnetically driving coronal mass ejections, prominence eruptions, and two-ribbon flares. Their model, which is based on simple circuit concepts, suggests that a stable configuration containing a current filament will lose equilibrium when the filament current exceeds a critical value. Here, a two-dimensional numerical simulation is used to test how the Van Tend-Kuperus model works in an ideal MHD fluid. The simulation exhibits the expected loss of mechanical equilibrium near the predicted critical value, but the current filament moves only a short distance upward before coming to rest at a new equilibrium. However, this new equilibrium contains a current sheet which is resistively unstable to magnetic reconnection, and if magnetic reconnection occurs rapidly, the filament can continue to move upward at Alfvenic speeds.
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