Vertical motions in an intense magnetic flux tube. II - Convective instability

Physics

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Convection, Magnetic Flux, Magnetohydrodynamic Stability, Solar Atmosphere, Solar Magnetic Field, Astronomical Models, Flow Stability, Photosphere, Temperature Profiles

Scientific paper

The nature of convective instability in a slender magnetic flux tube is considered, and a sufficient condition for stability is derived for the case of an arbitrary temperature profile in the external medium. The approach permits the existence of a temperature difference between the interior and exterior of the tube. The distribution of stable and unstable eigenvalues for a linear temperature profile is examined in detail. The model suggests that intense flux tubes are convectively stable if sufficiently shallow (depth 1000-2000 km or less). Downdrafts observed inside intense flux tubes might be a transient phenomenon in which the field inside the tube is further intensified until hydrostatic equilibrium occurs. It is concluded that convective instability in a flux tube is a possible means of achieving kilogauss field strengths.

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