A sufficient condition for the stability of atmospheres with magnetic fields

Details A sufficient condition for the stability of atmospheres with magnetic fields A sufficient condition for the stability of atmospheres with magnetic fields

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...258l..53z&link_type=abstract

Astrophysical Journal, Part 2 - Letter to the Editor, vol. 258, July 1, 1982, p. L53-L56.

Astronomy and Astrophysics

Astrophysics

35

Astronomical Models, Gravitational Fields, Magnetic Field Configurations, Magnetohydrodynamic Stability, Magnetostatic Fields, Space Plasmas, Astrophysics, Equations Of State, Systems Stability

Scientific paper

Using the MHD energy principle, it is shown that P + B sq/8 x pi = constant is a sufficient condition for the stability of magnetized fluid systems with the following properties: the gravitational acceleration g is uniform, the magnetic field lines lie in parallel planes aligned with g, and all quantities are uniform in the direction perpendicular to the plane of the field lines. An example of a stable system is given, consisting of a vertical sheet of plasma supported against gravity by bowed field lines.

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