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Transition from ambipolar to free diffusion in a decaying plasma

Published online by Cambridge University Press:  13 March 2009

C. D. Maldonado
Affiliation:
Northrop Corporate Laboratories, Hawthorne, California, 90250

Abstract

The problem of transition from ambipolar to free diffusion due to charged particle density gradients in a decaying plasma of spherical symmetry is investigated in this paper. This investigation is carried out within the framework of the approximate procedure set forth by Allis & Rose (1954). A further simplification is introduced by using only the time-dependent ‘imperfect’ ambipolar diffusion coefficients for the electrons and ions evaluated at the centre of the plasma for carrying out calculations. The results for the time dependence of these ‘imperfect’ ambipolar diffusion coefficients and spatial distributions for the charge density, electric field, and potential which are obtained by this procedure are valid for all values of time in the neighbourhood of the centre of the plasma and for all other positions of space only during the time while the plasma is diffusing in an almost ‘perfect’ ambipolar manner.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1968

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References

REFERENCES

Allis, W. P. 1956 Handbuch der Physik. Berlin: Springer-Verlag.Google Scholar
Allis, W. P. & Rose, D. J. 1954 Phys. Rev. 93, 84.CrossRefGoogle Scholar
Carslaw, H. S. & Jaeger, J. C. 1959 Conduction of Heat in Solids. Oxford: Clarendon Press.Google Scholar
Friedrich, O. M., Weigl, F. & Dougal, A. A.1966Eighth Annual Meeting of the Division of Plasma Physics of the American Physical Society,Boston.Google Scholar
Jones, D. J. 1961 Phys. Fluids, 4, 1183.CrossRefGoogle Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. New York: McGraw- Hill.Google Scholar
Taylor, G. I. 1950 Proc. Roy. Soc., A 201, 159.Google Scholar