Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....71....9w&link_type=abstract
Astronomy and Astrophysics, vol. 71, no. 1-2, Jan. 1979, p. 9-13.
Astronomy and Astrophysics
Astrophysics
38
Magnetic Flux, Magnetohydrodynamic Waves, Propagation Modes, Solar Atmosphere, Solar Magnetic Field, Atmospheric Stratification, Photosphere, Solar Corona, Vibration Mode
Scientific paper
The vibration modes and stability of a discrete magnetic flux element (a cylindrical flux tube or a two-dimensional flux sheath) embedded in an infinite compressible but unstratified plasma are analyzed. It is shown that the dispersion relation for a thin flux tube takes two distinct forms, depending on whether the oscillation modes are symmetrical or asymmetrical, that the m = 0 mode in the cylindrical geometry is analogous to the pulsation mode of a thin flux sheath, and that the axis of the flux tube has a finite velocity for the m = 1 mode, which is analogous to the vibration mode of a taut wire. Comparison of the results for the thin flux tube and thin flux sheath indicates that the taut-wire mode of the sheath corresponds to the m = 1 mode of the tube. The relevance of this analysis to solar magnetic fields is discussed.
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