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The effect of a velocity-dependent charge-exchange kernel on neutral-atom transport in a half-space plasma: exact solution

Published online by Cambridge University Press:  13 March 2009

A. K. Prinja  and
M. M. R. Williams
A. K. Prinja
Affiliation:
Chemical and Nuclear Engineering Department, University of New Mexico, Albuquerque, New Mexico 87131, U.S.A.
M. M. R. Williams
Affiliation:
Nuclear Engineering Department, Queen Mary and Westfield College, University of London, London El 4NS, U.K.
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Abstract

A symmetric factorization of the velocity-dependent charge-exchange kernel (the so-called separable-kernel model) is used in the Boltzmann equation for neutral atoms to obtain an exact solution for a half-space plasma by the Wiener-Hopf method. This work generalizes earlier work employing constant, velocity-independent charge-exchange interactions to the case of an arbitrary velocity dependence of the Maxwellian averaged charge-exchange reaction rate. The effects of velocity dependence on the speed-angle distribution of escaping neutrals and the total charge-exchange rate in the half-space are shown to be significant. It is also shown how the Wiener-Hopf method can be applied to such problems with a realistic Maxwellian plasma background, without first approximating the ion distribution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 44 , Issue 2 , October 1990 , pp. 285 - 302
Copyright
Copyright © Cambridge University Press 1990

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