Physics
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982soph...75...19a&link_type=abstract
Solar Physics, vol. 75, Jan. 1982, p. 19-34.
Physics
10
Lines Of Force, Magnetic Field Configurations, Magnetohydrodynamic Stability, Solar Flares, Solar Magnetic Field, Modal Response, Perturbation Theory, Solar Physics
Scientific paper
The ideal MHD energy equation is used to derive a stability equation for a specific class of perturbations, in an examination of magnetic loop MHD stability which takes field line tying at its root points into account. It is found that the field line tying effect is negligible to the m=1 kink mode, but important to the localized modes, in the case of a loop of aspect ratio greater than 10. The stability criterion for high-m value localized modes is derived, and compared with the Suydam criterion, to show that there are two field line tying effects for the perturbation of the class studied: (1) a field line bending effect, which is always stabilizing, and (2) a shear effect which is stabilizing or destabilizing depending on the sign of the gradient of the potential magnetic field. The net effect of field line tying is determined by the sum of these two effects.
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