Convective instability and overstability in the sunspot umbra |
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| Authors: | Mamoru Saitō Shoji Kato |
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| Institution: | (1) Tokyo Astronomical Observatory, University of Tokyo, Mitaka, Tokyo;(2) Dept. of Astronomy, University of Tokyo, Tokyo |
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| Abstract: | Convective instability and overstability of a plane-parallel medium in the presence of a uniform vertical magnetic field is studied. We take into account both the effect of penetration of disturbances into sub-adiabatically stratified semi-infinite upper and lower layers, and the effect of thermal damping of disturbances introduced by the compressibility of the medium. If the degree of super-adiabaticity in temperature stratification in the middle layer is relatively large compared with that of sub-adiabaticity in the upper and lower layers, the range of physical conditions in which overstable convection occurs is very narrow. However, if it is not the case the range is rather wide. In the normal sunspot umbra, only disturbances with selected sizes in vertical dimension will be able to become overstable. The overstable convection might be a cause of some dynamical features (such as dots) in the sunspot umbra, but will not be the main contributor for transporting mechanical energy in the sunspot region. |
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