On the stability of a class of isothermal, magnetostatic atmospheres

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Isothermal Processes, Magnetohydrodynamic Stability, Solar Atmosphere, Solar Magnetic Field, Cartesian Coordinates, Eigenvalues, Elliptic Differential Equations, Magnetostatic Fields, Perturbation Theory

Scientific paper

The stability of a class of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is explored. Special attention is given to the stability of nonpotential equilibria that have the same magnetic field geometry as the potential equilibrium of the solution family. It is found that equilibria in which the source currents for the potential field are buried at large distances below the photospheric base are stable. Also considered is the stability of configurations in which the source currents for the potential field are located at a finite depth below the base.

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