Parker instability in chemically inhomogeneous medium as a possible process of element mixing

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Buoyancy, Magnetic Field Configurations, Magnetohydrodynamic Stability, Stellar Interiors, Stellar Magnetic Fields, Gravitational Effects, Molecular Weight, Momentum Transfer, Perturbation, Supernova 1987A

Scientific paper

The possibility that magnetic buoyancy instability affects element mixing in a stellar interior is examined. An examination of the linear growth rate and stability of a simple model atmosphere is conducted for situations where the Parker instability occurs easily. The stability of the equilibrium state for isothermal perturbations is then described by means of an equilibrium model atmosphere and a dispersion relation. Numerical calculations of the growth rate are given and the stability criteria are derived. The instability is shown to be suppressed by the stratification of mean molecular weights, but when the magnetic field exceeds a critical value instability is still observed. The gradient of the mean molecular weight determines the critical value of the magnetic field. Element mixing in the stellar interior can be studied by means of the Parker instability. This application is discussed with reference to the supernova 1987A and the carbon dredge-up problem in low-mass stars.

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