Physics
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phflb...3.2675f&link_type=abstract
Physics of Fluids B (ISSN 0899-8221), vol. 3, Sept. 1991, p. 2675-2683. Research supported by DOE.
Physics
15
Current Sheets, Magnetic Field Configurations, Magnetohydrodynamics, Boundary Layers, Solar Corona
Scientific paper
Consideration is given to a class of 2D magnetohydrodynamic (MHD) equilibria with hyperbolic, X-line-type geometry and with footpoint displacement field lines arbitrary near the separatrix. The scale-invariant, or similarity, solutions are presented to specification of the footpoint displacement that is finite as the separatrix is approached. They are appropriate near the X-line on length scales intermediate between the boundary layer width because of resistivity and the macroscopic length scale. Force balance across the separatrix implies identical radial dependence in all four quadrants and continuity of Bz squared across the separatrix. It is found that the general solutions can have arbitrary separatrix angle and ratio of flux between the quadrants.
Finn John M.
Lau Yun-Tung
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