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Ambipolar diffusion as a singular perturbation problem

Published online by Cambridge University Press:  13 March 2009

M. J. Giles
M. J. Giles
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex
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Abstract

The effect of a magnetic field on the diffusion of a cylindrical column of ionization, having an initial electron density much greater than that of the ambient weakly ionized plasma in which it is embedded, is examined for the case in which the electron gyro-frequency is much greater than the electron neutral collision frequency Ve. The nonlinear diffusion equations are solved by means of a perturbation expansion based on their exact solution for the case Ve = 0. This approach leads to a singular perturbation problem, and shows that, when the column is not closely aligned with the field the distribution of plasma differs appreciably from that obtained from an ordinary anisotropic diffusion equation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 10 , Issue 2 , October 1973 , pp. 317 - 336
Copyright
Copyright © Cambridge University Press 1973

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References

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