Mathematics – Logic
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414..389p&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 1, p. 389-398.
Mathematics
Logic
12
Electrical Resistivity, Force-Free Magnetic Fields, Galactic Halos, Magnetohydrodynamics, Solar Flares, Topology, Current Density, Electric Current, Magnetic Storms
Scientific paper
This paper explores the topological restructuring of a force-free magnetic field caused by the hypothetical sudden onset of a localized region of strong anomalous resistivity. It is shown that the topological complexity increases, with the primitive planar force-free field with straight field lines developing field lines that wrap half a turn around each other, evidently providing a surface of tangential discontinuity in the wraparound region. It is suggested that the topological restructuring contributes to the complexity of the geomagnetic substorm, the aurora, and perhaps some of the flare activity on the sun, or other star, and the Galactic halo.
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