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

• Published in: Technical physics Vol. 62; no. 8; pp. 1270 - 1273
• Main Authors: Sysun, V. I., Ignakhin, V. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-08-2017; Springer; Springer Nature B.V
• Subjects: Classical and Continuum Physics; Collisions; Electric charge; Investigations; Particle collisions; Physics; Physics and Astronomy; Short Communications; Simulation; Space charge
• ISSN: 1063-7842; 1090-6525
• DOI: 10.1134/S106378421708028X

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.