On some analytical solutions of the equation of ambipolar diffusion of plasma in the gravitational field

Details On some analytical solutions of the equation of ambipolar diffusion of plasma in the gravitational field On some analytical solutions of the equation of ambipolar diffusion of plasma in the gravitational field

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jatp...39..749k&link_type=abstract

Journal of Atmospheric and Terrestrial Physics, vol. 39, June 1977, p. 749-751.

Physics

Ambipolar Diffusion, F Region, Gravitational Fields, Plasma Diffusion, Diurnal Variations, Wentzel-Kramer-Brillouin Method

Scientific paper

It is shown in a simple analytical way that solutions of the ambipolar plasma diffusion equation for the F-region naturally include Chapman type distributions. The exact solution of the continuity equation for the steady night ionosphere at delta = 1/2 and p = 0 has Chapman type form. For arbitrary delta and p the WKB method in the zeroth approximation yielded a formula for calculating the nighttime N profile, which in form coincides with the well-known Chapman expression for the daytime N profile.

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