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Self-similar two-electron temperature plasma expansion into vacuum

Published online by Cambridge University Press:  20 October 2015

D. Bennaceur-Doumaz*
Affiliation:
Centre de Développement des Technologies Avancées, CDTA, B.P. 17, Baba Hassen, 16303 Algiers, Algeria
D. Bara
Affiliation:
Centre de Développement des Technologies Avancées, CDTA, B.P. 17, Baba Hassen, 16303 Algiers, Algeria
M. Djebli
Affiliation:
Theoretical Physics Laboratory, Faculty of Physics, USTHB, B.P. 32 Bab Ezzouar, 16079 Algiers, Algeria
*
Address correspondence and reprint requests to: D. Bennaceur-Doumaz, Centre de Développement des Technologies Avancées, CDTA, B.P. 17 Baba Hassen, 16303 Algiers, Algeria. E-mail: ddoumaz@gmail.com

Abstract

A theoretical model is developed to describe self-similar plasma expansion into vacuum with two different electron temperature distribution functions. The cold electrons are modeled with a Maxwellian distribution while the hot ones are supposed to be non-thermal obeying a kappa distribution function. It is shown that ion density and velocity profiles depend only on cold electron distribution in early stage of expansion whereas ion acceleration is mainly governed by the hot electrons at the ion front and is strongly enhanced with the proportion of kappa distributed electrons. It is also found that when the kappa index is decreasing, the critical value of temperature ratio Teh/Tec, limiting the application of quasi-neutrality, becomes larger than the $5 + \sqrt {24} \approx 9.9$ value obtained in the two-electron Maxwellian Bezzerides model [Bezzerides, B., Forslund, D. W. & Lindman, E. L. (1978). Phys. Fluids21, 2179–2185].

Type
Research Article
Copyright
Copyright © Cambridge University Press 2015 

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References

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