The space charge layer of the electrical probe taking into account the collisions

The space charge layer of a cylindrical probe has been considered under moderate pressures. A precise solution of Poisson’s equation has been obtained in the approximation of strong field taking into account collisions with atoms. The approximate expression for a space charge layer in the cylindrica...

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Bibliographic Details
Published in:Technical physics 2017-08, Vol.62 (8), p.1270-1273
Main Authors: Sysun, V. I., Ignakhin, V. S.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Collisions
Electric charge
Investigations
Particle collisions
Physics
Physics and Astronomy
Short Communications
Simulation
Space charge
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Summary:The space charge layer of a cylindrical probe has been considered under moderate pressures. A precise solution of Poisson’s equation has been obtained in the approximation of strong field taking into account collisions with atoms. The approximate expression for a space charge layer in the cylindrical geometry without collisions has been suggested; the expression yields an error of up to 1% at 1 ≤ r s h r p ≤ 200. A simplified approximate expression for a space charge layer under moderate pressures, which is suitable for practical calculations, has also been proposed.
ISSN:1063-7842
1090-6525
DOI:10.1134/S106378421708028X