The nonlinear force-free magnetic field and the field distribution above a sunspot

Details The nonlinear force-free magnetic field and the field distribution above a sunspot The nonlinear force-free magnetic field and the field distribution above a sunspot

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..380s&link_type=abstract

(Astronomicheskii Zhurnal, vol. 59, Mar.-Apr. 1982, p. 380-388.) Soviet Astronomy, vol. 26, Mar.-Apr. 1982, p. 229-234. Transla

Astronomy and Astrophysics

Astronomy

4

Magnetic Field Configurations, Solar Magnetic Field, Sunspots, Differential Equations, Magnetic Flux, Nonlinear Equations

Scientific paper

A force-free, uniformly twisted magnetic rope is considered in which the radius of each magnetic surface varies along the axis of symmetry. This configuration is obtained as the solution of a nonlinear differential equation describing a force-free magnetic field. The main properties of this force-free model are: (1) the magnetic field in a sunspot and above it is weakly twisted, so that each field line makes only half a turn on the path between sunspots; (2) the total flux of the longitudinal field is finite, Phi = const, while the total longitudinal current equals zero, since the current density changes sign at one of the magnetic surfaces (alpha = 0); (3) the surface alpha = 0 is hydrodynamically stable and can play the role of the natural boundary of the sunspot; (4) the condition of similarity of the magnetic structure can be obtained formally as a consequence of two conditions, the uniformity of field twisting and the force-free character of the field. The radial and vertical magnetic field distributions in a sunspot obtained in the report agree well with observational data.

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