On two-dimensional magnetostatic equilibria and their stability

Astronomy and Astrophysics – Astrophysics

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Magnetic Field Configurations, Magnetohydrodynamic Stability, Magnetostatics, Stellar Atmospheres, Cosmic Plasma, Equations Of State, Pressure Gradients, Stellar Magnetic Fields

Scientific paper

A particular class of analytic solutions are presented to study two-dimensional magnetostatic equilibria and their stability. These equilibrium solutions are interesting as models of realistic structures of stellar atmosphere and yet are simple enough for the application of the energy principle. The method consists of modifying the field strength on a given potential magnetic field without changing its geometry. The modified field is, of course, nonpotential. The author then introduces a thermodynamic structure of the plasma as determined from the force equilibrium equation and thus produces a magnetostatic state. Such a method renders both the construction and the stability analysis of the equilibrium solutions amenable to analytic treatment, and a great number of stable magnetostatic equilibria are found in this way.

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