Mathematics
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...230..238v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 230, no. 1, April 1990, p. 238-243.
Mathematics
3
Current Sheets, Cusps (Mathematics), Magnetic Field Reconnection, Plasma Equilibrium, Rosette Shapes, Solar Corona, Magnetic Flux, Plasma Conductivity
Scientific paper
Cusp points are produced in magnetic streamers of the solar corona. They may also be produced in the tail region of the earth's magnetosphere. This paper makes an analysis of such points in an equilibrium plasma. It is found that the very presence of a cusp point is inevitably associated with current sheets; these are the site of magnetic-field line reconnection. Special attention is paid to two examples. One examines a current sheet in a very much rarefield plasma (a problem formulated by Syrovatskii, 1966). The other one investigates the rosette structure of two merging magnetic islands. Analysis of the plasma behavior in the vicinity of the cusp points shows that, in the latter case, equilibrium cannot be realized. Therefore reconnection must proceed violently, at the high rates observed in numerical simulations.
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