Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

Details Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields Bounds on the ideal MHD stability of line-tied 2-D coronal magnetic fields

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989soph..123..241d&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 123, no. 2, 1989, p. 241-269. Research supported by the University of Saint Andrews.

Physics

23

Magnetic Field Configurations, Magnetohydrodynamic Stability, Solar Corona, Solar Magnetic Field, Differential Equations, Force-Free Magnetic Fields, Magnetohydrodynamics, Solar Atmosphere

Scientific paper

A tractable method for investigating the linear stability of line-tied two-dimensional coronal magnetic fields is introduced. It is based on the Bernstein et al. (1958) energy principle and can be applied to nonisothermal equilibria with gravity, having a translational invariance. A linear force-free field is shown to be completely stable, regardless of the shear. The role of pressure gradients, footpoint displacements, line-tying, and stratification on an isothermal magnetohydrostatic equilibrium is assessed.

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