Drift model of the cathode region of a glow discharge

A one-dimensional drift model of the cathode region of a glow discharge with allowance for both electron-impact ionization and charged particle loss is proposed. An exact solution to the model equations is obtained for the case of similar power-law dependences of the ion and electron drift velocitie...

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Bibliographic Details
Published in:Plasma physics reports 2006-11, Vol.32 (11), p.949-959
Main Authors: Kozhevnikov, V. Yu, Kozyrev, A. V., Korolev, Yu. D.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
CATHODES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CURRENTS
ELECTRIC FIELDS
ELECTRON DRIFT
ELECTRONS
EQUATIONS
EXACT SOLUTIONS
GLOW DISCHARGES
IONIZATION
IONS
LAYERS
LOSSES
ONE-DIMENSIONAL CALCULATIONS
PLASMA
POSITIVE COLUMN
SPACE CHARGE
VELOCITY
VOLTAGE DROP
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Summary:A one-dimensional drift model of the cathode region of a glow discharge with allowance for both electron-impact ionization and charged particle loss is proposed. An exact solution to the model equations is obtained for the case of similar power-law dependences of the ion and electron drift velocities on the electric field strength. It is shown that, even in the drift approximation, a relatively wide transition layer in which the ion-to-electron current ratio approaches a constant value typical of the positive column of a glow discharge should occur between the thin space-charge sheath and the quasineutral plasma, the voltage drop across the space-charge sheath being comparable to that across the transition layer. The calculated parameters of the normal and anomalous glow discharges are in good agreement with available experimental data.
ISSN:1063-780X
1562-6938
DOI:10.1134/S1063780X06110109