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We consider the effect of line tying on the magnetic Rayleigh-Taylor or Parker instability. We find that stabilization occurs if the field lines are sufficiently short that the Alfven travel time between the boundaries is less than 2 pi times the instability growth time in an unbounded medium. In a magnetically dominated system, the critical field line length scales linearly with magnetic field strength. This criterion may be revelant to the stabilization of solar prominences.
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Zweibel et al. (1992) studied this question.
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