Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...258..535d&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 258, no. 2, p. 535-541.
Astronomy and Astrophysics
Astrophysics
19
Force-Free Magnetic Fields, Magnetic Field Configurations, Plasma Conductivity, Solar Corona, Solar Flares, Solar Magnetic Field, Current Sheets, Solar Activity, Solar Atmosphere, Topology
Scientific paper
In a highly conducting plasma, the magnetic field topology determines where, for example, current sheets can form, which is of great importance as a potential coronal heating source. With the classical extrapolation of a continuous weak photospheric field, the determination of topology is in general a difficult challenge. Because of the concentration of the photospheric field at intense flux tubes in supergranulation boundaries a more realistic field representation may be a description in terms of magnetic singularities located just below the photosphere. In this paper we analyze in detail the generalization to linear force-free fields of the standard multipole expansion for singular potential fields. Solutions are presented in spherical coordinates with the constraint that all singularities are located in the half-space z is less than 0 below the solar photospheric plane (z = 0). A great variety of solutions is shown to exist depending on two continuous and one discrete parameter. The properties of monopole and dipole solutions in particular are discussed and it is shown that isolated magnetic charges exist only in the potential limit and not in a linear force-free field.
Démoulin Pascal
Priest Eric R.
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