The visco-resistive stability of arcades in the corona of the sun

Physics

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Ballooning Modes, Coronal Loops, Magnetohydrodynamic Stability, Solar Atmosphere, Solar Corona, Viscosity, Perturbation Theory, Solar Magnetic Field, Stress Tensors

Scientific paper

The stability of ballooning modes in coronal arcades is studied using linear viscoresistive MHD. Rigid wall conditions are adopted for modeling the photospheric line-tying of the magnetic field. The full Braginskii viscosity stress tensor is used and particular attention is given to the effect of the viscosity coefficient eta(3) which was left out of an earlier investigation by Van der Linden et al. (1987, 1988). The numerical results for shearless arcades show that the coefficients eta(3) has a stabilizing effect. However, for realistic values of the equilibrium quantities the stabilizing effect by eta(3) can be neglected in comparison with the strong stabilizing effect of the perpendicular viscosity. The effect of magnetic field strength and mode number on stability are determined. It is found that there exists a critical field strength for every mode number such that the mode is stable for weaker fields and unstable for stronger fields.

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