Equilibrium of magnetic fields with arbitrary interweaving of the lines of force II. Discontinuities in the field
作者:
E.N. Parker,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1986)
卷期:
Volume 35,
issue 1-4
页码: 277-301
ISSN:0309-1929
年代: 1986
DOI:10.1080/03091928608245896
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
It is shown that surfaces ∑αof discontinuity in the torsion α in a force-free field (whose existence was established in the previous paper) have special properties. There is a discontinuity in the magnetic field (i.e. a current sheet) associated with ∑αif the extension of ∑αalong the field is terminated anywhere within the fluid, or if two or more ∑αintersect. If the ∑αdo not terminate, they extend arbitrarily far along the field from the location of the arbitrary change in winding pattern that produces them. In that case there would be as many ∑αas changes in winding pattern, each ∑αoriented arbitrarily with respect to the others. Intersections would be unavoidable, and discontinuities (current sheets) inevitable companions of the ∑α. Hence sequences of arbitrary patterns of winding and wrapping of the lines of force generally produce current sheets.
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