Asymptotic analysis of force-free magnetic fields of cylindrical symmetry

Details Asymptotic analysis of force-free magnetic fields of cylindrical symmetry Asymptotic analysis of force-free magnetic fields of cylindrical symmetry

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...443..804s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 443, no. 2, p. 804-809

Astronomy and Astrophysics

Astrophysics

13

Asymptotic Properties, Force-Free Magnetic Fields, Magnetic Energy Storage, Magnetic Field Configurations, Solar Flares, Solar Magnetic Field, Stellar Models, Approximation, Magnetohydrodynamics, Stability, Symmetry

Scientific paper

It is known from computer calculations that if a force-free magnetic-field configuration is stressed progressively by footpoint displacements, the configuration expands and approaches the open configuration with the same surface flux distribution, and, in the process, the energy of the field increases progressively. Analysis of a simple model of force-free fields of cylindrical symmetry leads to simple asymptotic expressions for the extent and energy of such a configuration. The analysis is carried through for both spherical and planar source surfaces. According to this model, the field evolves in a well-behaved manner with no indication of instability or loss of equilibrium.

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