Hydromagnetic stability of coronal arcade structures The effects of photospheric line tying

Physics

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Coronal Loops, Magnetohydrodynamic Stability, Photosphere, Solar Corona, Astronomical Models, Force-Free Magnetic Fields, H Alpha Line, Integral Equations, Perturbation Theory

Scientific paper

A model is given of the magnetic-field equilibrium and possible dynamic excitations of a solar coronal arcade. Such structures are well observed in the spectral range from H-alpha to X-rays and often give rise to two-ribbon flares. However, the preflare state must be stable to ideal magnetohydrodynamic disturbances, and this problem is treated with particular attention to the necessary foot-point boundary conditions. With reasonably general perturbation set, an energy-principle analysis is used to show the strong stabilizing influence of inertial field-line tying at the photosphere.

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