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Stability analysis of the Kippenhahn-Schlüter model of solar filaments

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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 d[B 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.

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References

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Authors and Affiliations

  1. High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colo., U.S.A.

    U. Anzer

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  1. U. Anzer
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On leave from the Max-Planck-Institut für Physik und Astrophysik, München, Germany.

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Anzer, U. Stability analysis of the Kippenhahn-Schlüter model of solar filaments. Sol Phys 8, 37–52 (1969). https://doi.org/10.1007/BF00150656

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  • DOI: https://doi.org/10.1007/BF00150656

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