Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977mnras.179..741m&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 179, June 1977, p. 741-761.
Astronomy and Astrophysics
Astronomy
101
Energy Methods, Magnetic Flux, Magnetohydrodynamic Stability, Solar Magnetic Field, Sunspots, Magnetic Field Configurations, Mathematical Models, Stellar Models
Scientific paper
The energy principle of Bernstein et al. (1958) is used to demonstrate that a magnetic flux tube in equilibrium with an external stratified field-free gas is stable to interchanges, provided the magnitude of the radial field component decreases upward on the tube boundary. Stability conditions on the external pressure in the case where a vacuum field is inside the flux tube are investigated, and it is found that both stable and unstable vacuum-field configurations can exist. A vacuum-field model is employed to show that tubes with fluxes greater than about 10 to the 19th power Mx are stable in the sun, and this result is applied to observations of small-scale solar magnetic fields as well as to sunspot groups. Analysis of a simple sunspot model indicates that a sunspot can be stable in and immediately below the photosphere, that this stability is related to the potential energy associated with the Wilson depression, and that twisted fields need not be invoked.
Meyer Fernand
Schmidt Hans-Ulrich
Weiss Nigel O.
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