Computer Science – Numerical Analysis
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437..851l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 2, p. 851-859
Computer Science
Numerical Analysis
47
Current Sheets, Jacobi Matrix Method, Magnetohydrodynamics, Solar Corona, Solar Magnetic Field, Astronomical Models, Boundary Layer Stability, Current Density, Mapping, Numerical Analysis, Photosphere
Scientific paper
It has been argued that a magnetic field which is initially continuous and is line-tied to rigid boundaries in a continuous manner cannot develop tangential discontinuities or current sheets. This would appear to have many consequences in those theories of reconnection and coronal heating which are based on the existence of such current sheets. It is shown here that while the nonexistence of current sheet may hold in a strict sense, it is possible for simple magnetic geometries to spontaneously develop current layers of nonzero thickness which are indistinguishable, in a practical sense, from genuine current sheets. The thickness of these layers can easily be more than six orders of magnitude smaller than the apparent length scale of the initial equilibrium. We suggest that numerical magnetohydrodynamics simulations have encountered such features, but lacked sufficient resolution to distinguish them from current sheets. Turbulent motion of photospheric footpoints will generate this type of current layer in about one eddy turnover.
Longcope Dana Warfield
Strauss H. R.
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