Magnetostatic atmospheres - A family of isothermal solutions

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Atmospheric Models, Isothermal Processes, Magnetostatic Fields, Solar Magnetic Field, Beta Factor, Lines Of Force, Plasma Density, Pressure Gradients, Solar Corona, Solar Physics

Scientific paper

The present investigation is concerned with the problem of magnetostatic equilibrium of two-dimensional structures in an isothermal atmosphere. A formulation of this equilibrium is applied to loop-like structures in the solar atmosphere. A family of analytic solutions in Cartesian coordinates is used to illustrate the effects of an inhomogeneous distribution of plasma within magnetic loops. This approach provides an interesting test of the validity of the common assumption that density inhomogeneities outline magnetic structures. A description is presented of a series of idealized mathematical models of magnetostatic atmospheres. Particular attention is given to the physical quantities which determine the force balance, the density distribution, pressure gradients, current density, and the magnetic field.

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