On magnetostatic equilibrium in a stratified atmosphere

Details On magnetostatic equilibrium in a stratified atmosphere On magnetostatic equilibrium in a stratified atmosphere

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980soph...65..147l&link_type=abstract

Solar Physics, vol. 65, Feb. 1980, p. 147-165. Research supported by the Japan Society for the Promotion of Science.

Physics

31

Atmospheric Stratification, Equilibrium Equations, Ideal Gas, Magnetostatic Fields, Solar Atmosphere, Magnetic Field Configurations

Scientific paper

A study of the relationship between a magnetic field and its embedding plasma in static equilibrium in a uniform gravity is presented. It is shown that an exact integral of the equation for force balance across field lines can be derived in a closed form which can generate exact solutions by integrating directly for the distributions of pressure, density, and temperature necessary to maintain a magnetic field in equilibrium. An equation is derived involving the Euler potentials of the magnetic field which stipulates symmetries required for a magnetic field in static equilibrium; these symmetries make the construction of exact solutions an essentially two-dimensional problem exemplified by the special case of invariance in a given direction.

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