A low beta coronal loop model. I - Kink instabilities in the beta = 0 limit

Physics

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Coronal Loops, Force-Free Magnetic Fields, Magnetohydrodynamic Stability, Plasma Currents, Solar Corona, Astronomical Models, Boundary Conditions, Boundary Value Problems, Equations Of Motion

Scientific paper

A localized force-free current is proposed as a model for the observed coronal loops. An upper limit for the growth rate of kink instabilities in this model is found by solving numerically, in cylinder symmetry, the MHD equation of motion, with the boundary condition beta = 0 outside the loop. For various current densities a spectrum of kink is found. These instabilities will disrupt the loops that are long or strongly twisted, on a time scale of a few seconds. The kinks in short or barely twisted loops are too long to fit.

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