Stability analysis of the Kippenhahn-Schlüter model of solar filaments |
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| Authors: | U Anzer |
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| Institution: | (1) High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colo., U.S.A. |
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| Abstract: | In this paper the stability of the Kippenhahn-Schlüter model of solar filaments against arbitrary perturbations is investigated. The problem is treated in the MHD approximation and a modification of the energy principle of Bernstein et al. is used. Two necessary and sufficient stability conditions are found: (a) B
z] dB
x/dz  0 and (b) B
x dB
z]/dz  0. Condition (a), in the limit of small currents, leads to the condition already discussed by Kippenhahn and Schlüter; condition (b) requires that the current density in the stable filament decreases with height.On leave from the Max-Planck-Institut für Physik und Astrophysik, München, Germany. |
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