Isothermal magnetostatic atmospheres. II - Similarity solutions with current proportional to the magnetic potential cubed

Details Isothermal magnetostatic atmospheres. II - Similarity solutions with current proportional to the magnetic potential cubed Isothermal magnetostatic atmospheres. II - Similarity solutions with current proportional to the magnetic potential cubed

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...327..933w&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 327, April 15, 1988, p. 933-949.

Statistics

Computation

11

Gravitational Fields, Magnetic Stars, Magnetohydrodynamic Flow, Magnetostatic Fields, Solar Atmosphere, Solar Magnetic Field, Cartesian Coordinates, Computational Astrophysics, Elliptic Functions, Pressure Gradients, Time Dependence

Scientific paper

The paper presents a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry. The distributed current in the model J is directed along the x-axis, where x is the horizontal ignorable coordinate. The current J is taken to be proportional to the cube of the magnetostatic potential A and falls off exponentially with distance vertical to the base with an e-folding distance equal to the gravitational scale height. A range of similarity solution examples are displayed depending on the values of the similarity parameters. Each similarity parameter corresponds to a symmetry of the underlying nonlinear elliptic equation for A. The similarity parameters also determine the source currents for the potential field solution of the family. The solutions show the interplay between the gravitational force, the J & B force (B, magnetic field induction) and the gas pressure gradient.

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