Other
Scientific paper
Jul 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...215..374p&link_type=abstract
Astrophysical Journal, Part 1, vol. 215, July 1, 1977, p. 374-377.
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1
Gaseous Diffusion, Magnetic Diffusion, Magnetohydrodynamics, Rarefied Gas Dynamics, Solar Magnetic Field, Fluctuation Theory, Isothermal Flow, Partial Differential Equations, Solar Corona
Scientific paper
General equations are given for treating the diffusion of a magnetic field in a fluid with electrical conductivity and a resistive diffusion coefficient. Consequences of nonnegligible gas motion are investigated by considering the one-dimensional problem where a tenuous isothermal gas with pressure expressed as a function of x-coordinate and time is enmeshed in a magnetic field in the y-direction. Approximate equations are obtained for the case of weak fluctuations in gas or field pressure, and the properties of a nonlinear diffusion equation are illustrated with the example of an initial thin slab of gas confined by a uniform field on either side. The advance of a gas front into a nonvanishing gas density is illustrated by using the progressive wave solution. Application of the results to the evolution of streamers and filaments observed in the solar corona is briefly discussed
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