Abstract
A class of analytic solutions is presented to study two-dimensional magnetostatic equlibria and their stability, ignoring the energy equation. A magnetostatic equilibrium solution is constructed for an arbitrary potential magnetic field by introducing two functions of its magnetic flux function to vary the magnetic field strength on the fixed field lines, changing the thermodynamic structure of the plasma so that the mechanical equilibrium in the presence of an external gravity is satisfied. It is found that the instabilities of such equilibria are associated with gas pressure gradients parallel to the magnetic field and electric currents. Some general criteria are given for these instabilities, and their application is illustrated by examples. 16 references.
Published Version
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