The formation of current sheets during the emergence of new magnetic flux from below the photosphere

Details The formation of current sheets during the emergence of new magnetic flux from below the photosphere The formation of current sheets during the emergence of new magnetic flux from below the photosphere

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976soph...48...89t&link_type=abstract

Solar Physics, vol. 48, May 1976, p. 89-100. Research supported by the Science Research Council.

Mathematics

Complex Variables

29

Current Sheets, Magnetic Field Configurations, Magnetic Flux, Photosphere, Solar Flares, Solar Magnetic Field, Complex Variables, Mathematical Models, Solar Activity Effects, Solar Atmosphere, Two Dimensional Models

Scientific paper

Solar flares are frequently observed to occur where new magnetic flux is emerging and pressing up against strong active region magnetic fields. Since the solar plasma is highly conducting, current sheets develop at the boundary between the emergent and ambient flux, provided the two magnetic fields are inclined at a nonzero angle to one another. The present paper gives a simple two-dimensional model for the development of such sheets under the assumptions that no reconnection occurs and that the surrounding field remains a potential one. By using complex variable techniques, the position, orientation and shape of a current sheet may be determined, as well as the excess magnetic energy associated with it. Two examples are considered. The first, in which the ambient field is bipolar, may model new flux emergence near the edge of an active region, while the second example assumes a constant ambient field and may approximate the so-called 'fibril crossings' which occur prior to some flares.

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