Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974apj...193..243l&link_type=abstract
Astrophysical Journal, vol. 193, Oct. 1, 1974, pt. 1, p. 243-252.
Astronomy and Astrophysics
Astrophysics
10
Chromosphere, Force-Free Magnetic Fields, Magnetic Diffusion, Solar Flares, Solar Magnetic Field, Inertia, Lorentz Force, Magnetic Effects, Magnetohydrodynamics, Partial Differential Equations, Transit Time
Scientific paper
The subsequent resistive diffusion of an initially force-free magnetic field in a tenuous medium, initially at rest, is considered. The inertia of the medium is taken into account. The one-dimensional case is treated by an expansion of both the momentum and the hydromagnetic induction equations of the parameter epsilon = An/V0 in the limit of epsilon being much less than 1. Here A(-1) is a typical length scale, n the constant resistive coefficient, and V0 the Alfven speed. It is found that within the Alfven transit time a small nonzero Lorentz force sets in and accelerates the medium to move in a manner such that the magnetic field may remain almost force-free for an extended period of time.
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