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Ballooning Instability in Coronal Flare Loops
Authors:Y T Tsap  Y G Kopylova  A V Stepanov  V F Melnikov  K Shibasaki
Institution:1. Crimean Astrophysical Observatory, Nauchny, Crimea, 98409, Ukraine
2. Pulkovo Observatory, Pulkovskoje ave. 65-1, St. Petersburg, 196140, Russia
3. Radiophysical Research Institute, B. Pecherskaya st. 25, Nizhny Novgorod, 603950, Russia
4. Nobeyama Radio Observatory, Minamimaki, Minamisaku, Nagano, 384-1305, Japan
Abstract:Within the framework of ideal magnetohydrodynamics the excitation of the ballooning instability in a toroidal coronal loop with a radius of cross section a and a radius of curvature R is analyzed by using the energy method. Kink oscillations are able to excite the ballooning instability when the plasma beta parameter β>2a/R. It has been suggested that this can result in the formation of cusp-shaped coronal loops. Modulation of gyrosynchrotron emission caused by kink oscillations is considered. The intensity of gyrosynchrotron emission for optically thin sources is the most sensitive to Alfvén disturbances. The obtained theoretical results are discussed in the light of Yohkoh, SOHO, TRACE, RHESSI, and Nobeyama observations.
Keywords:
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