Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.166..289c&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 166, no. 2, April 1990, p. 289-300.
Astronomy and Astrophysics
Astrophysics
6
Force-Free Magnetic Fields, Magnetic Flux, Magnetohydrodynamic Stability, Stellar Atmospheres, Eigenvalues, Plasma Cylinders, Solar Flares
Scientific paper
Simple, accurate methods of calculating ideal MHD instability eigenvalues for infinitely long cylindrical tubes with twist function T(r) are developed. The results show that the most rapidly growing and energetic instabilities occur in the Gold-Hoyle v = 0 field, with the instability progressively weakening with increasing v. However, the maximum force eigenvalue is always small, so that even in the Gold-Hoyle case only a small proportion of the available magnetic energy can be released in the linear phase. The results also confirm that the linear pinch is remarkably weak yet relatively resistant to line-tying. It is shown that the weakness of the force eigenvalue implies that the influence of uniform gas pressure on stability is negligible. Implications for the energy-release mechanism in solar flares are discussed.
Craig Donald I. Jr.
McClymont Alexander N.
Robb Daniel T.
Sneyd A. D.
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