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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Uniform Description of Core and Sheath of a Plasma Column

G. Ecker and H. Kanne

Weakly ionized plasmas bounded by insulated walls have been studied for the limiting cases of very low and very high pressure in numerous papers. These investigations base the particle kinetics either on the model of “collision dominated motion” or on the model of “inertia dominated motion”. Corresponding model regions are matched neglecting the transition region.

We consider a weakly ionized plasma bounded by insulated walls. Its particle production is due to electron collisions and its particle destruction due to wall recombination. Describing the electrons as in quasiequilibrium and ion-neutral interaction by constant mean free time collisions it is possible to derive for arbitrary plasma pressure an integrodifferential equation valid throughout the plasma core, the transition region and the sheath. No matching of model regions is required. The well-known LANGMUIR and SCHOTTKY theories are shown to be asymptotic solutions of this general treatment.

Received: 1966-9-3
Published Online: 2014-6-2
Published in Print: 1966-12-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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