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Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...273..202s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 273, Oct. 1, 1983, p. 202-213. Research supported by the Advanced Study Ins
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141
Ambipolar Diffusion, Interstellar Magnetic Fields, Isothermal Layers, Nebulae, Space Plasmas, Lagrange Coordinates, Neutral Gases, Stellar Evolution
Scientific paper
Quasi-magnetohydrostatic and local ionization equilibria are assumed in the present formulation and solution of the drift of magnetic field and ions embedded in a self-gravitating layer of neutral isothermal gas. The introduction of Lagrangian coordinates referred to the neutral gas allows this problem to be reduced to a nonlinear diffusion equation for the magnetic field, whose dimensionless form involves no parameters other than those introduced by the initial values. In the shape-invariant solution, the magnetic field at each surface density point in the neutral fluid decays as the inverse square root of the elapsed time. Explicit estimates are given, as a function of the initial magnetic to neutral gas pressure in a natural family of cases, for the amount of time that must pass before the shape-invariant solution becomes a good approximation for actual behavior. The results obtained are interpreted physically.
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