Equilibria and stability of coronal magnetic arches

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coronal Loops, Current Sheets, Magnetic Flux, Magnetohydrodynamic Stability, Magnetostatic Fields, Plasma Equilibrium, Optimization, Solar Magnetic Field, Stellar Models

Scientific paper

This paper explores the magnetostatic equilibria of coronal magnetic arches using a current sheet model and a nonlinear minimization technique. Two classes of solutions are found, representing arches which are either stable or unstable against spreading of the arch footpoints. Physically, stability properties of the arches are related to the form of magnetic flux redistribution occurring as the footpoints spread. The results suggest that although coronal transients may erupt spontaneously, they are more likely when an impulsive event occurs under a magnetic arch.

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