Stability analysis of two-dimensional models of quiescent prominences

Physics

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Magnetohydrodynamic Stability, Solar Atmosphere, Solar Prominences, Stellar Models, Two Dimensional Flow, Two Dimensional Models, Plasma Equilibrium, Solar Flares, Solar Oscillations

Scientific paper

Using the MHD energy principle of Bernstein et al. (1958) the author develops a formalism in order to analyze the stability properties of two-dimensional magnetostatic plasma equilibria. He applies this to four models of quiescent prominences, namely those of Menzel (1951), Dungey (1953), Kippenhahn and Schlüter (1957), and finally Lerche and Low (1980). It is found that, with the exception of the Kippenhahn and Schlüter model, all models become unstable. The instabilities that occur show simultaneously several features of well-known MHD-instabilities. However, an unequivocal assignment of the instabilities to specific instability prototypes is not possible. The formalism allows one to investigate not only more realistic prominence equilibria, but also arbitrary one- and two-dimensional static ideal MHD-equilibria.

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