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Stochastic solution of the Boltzmann equation for thermal electrons in an attractive Coulombic potential*

Published online by Cambridge University Press:  13 March 2009

M. J. Bell
Affiliation:
School of Engineering and Applied Science, Princeton University, Princeton, N.J.
M. D. Kostin
Affiliation:
School of Engineering and Applied Science, Princeton University, Princeton, N.J.

Abstract

A stochastic method has been employed to investigate the distribution function of free electrons in gases in the field of a positive ion. Stochastic results have been obtained for several pressures and for both large (Langevin) and small ions, and the results have been compared with the solutions of the diffusion approximation and Pitaevskii's Fokker—Planck approximation to the Boltzmann equation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1969

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Footnotes

†Present address: Oak Ridge National Laboratory, Oak Ridge, Tennessee.
*

This research was supported by a grant from the National Science Foundation.

References

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