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Kinetic theory of a gas-discharge positive column and wall sheath

  • Low-Temperature Plasmas
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Abstract

The positive column and wall sheath in a gas discharge are studied with allowance for ion collisions in a plasma and ion reflection from a solid surface under conditions of incomplete ion neutralization. The kinetic equation for ions in a positive column is reduced to a Fredholm equation of the second kind. This makes it possible to solve the kinetic equation using a resolvent and thereby derive a single integrodifferential equation for the potential, which is referred to as a generalized plasma-sheath equation. Specific versions of the plasma-sheath equation are obtained that take into account charge exchange of the ions in a plasma and the thermal spread in velocities of the ionization-produced ions.

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Authors and Affiliations

  1. Moscow State University, Vorob'evy gory, Moscow, 119899, Russia

    S. A. Dvinin, V. A. Dovzhenko & A. A. Kuzovnikov

Authors
  1. S. A. Dvinin
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  2. V. A. Dovzhenko
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  3. A. A. Kuzovnikov
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__________

Translated from Fizika Plazmy, Vol. 26, No. 2, 2000, pp. 179–189.

Original Russian Text Copyright © 2000 by Dvinin, Dovzhenko, Kuzovnikov.

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Dvinin, S.A., Dovzhenko, V.A. & Kuzovnikov, A.A. Kinetic theory of a gas-discharge positive column and wall sheath. Plasma Phys. Rep. 26, 164–173 (2000). https://doi.org/10.1134/1.952836

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  • DOI: https://doi.org/10.1134/1.952836

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