Magnetohydrodynamic stability of an axisymmetric, line-tied, diamagnetic plasmoid embedded in a uniform magnetic field

Physics

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Diamagnetism, Magnetohydrodynamic Stability, Solar Atmosphere, Solar Magnetic Field, Sunspots, Eigenvalues, Euler-Lagrange Equation, Magnetic Field Configurations, Orthogonal Functions, Photosphere, Plasmas (Physics)

Scientific paper

The stability of a line-tied, axisymmetric, hemispherical plasmoid embedded in a uniform magnetic field is investigated by using the MHD energy principle (Bernstein et al., 1958). The equilibrium configuration studied resembles the magnetic field topology of an isolated sunspot or of a newly emerged region of magnetic flux in the solar photosphere, and provides insight into the properties of these features. This analysis extends previous work on the ideal MHD stability of equilibrium structures with an axis of translational symmetry to include structures with only an axis of rotational symmetry.

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