Abstract
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 ≤ \(\frac{r_{sh}}{r_p}\) ≤ 200. A simplified approximate expression for a space charge layer under moderate pressures, which is suitable for practical calculations, has also been proposed.
This is a preview of subscription content, log in via an institution to check access.
References
I. Langmuir and K. B. Blodgett, Phys. Rev. 22, 347 (1923).
S. V. Bellyustin, Zh. Eksp. Teor. Fiz. 9, 840 (1939).
V. I. Sysun and V. S. Ignakhin, Tech. Phys. 57, 955 (2012).
V. L. Granovskii, Electric Current in Gas. Steady Current (Nauka, Moscow, 1971).
V. I. Drozdov, Zh. Tekh. Fiz. 16, 407 (1946).
V. M. Zakharova, Yu. M. Kagan, K. S. Mustafin, and V. I. Perel’, Zh. Tekh. Fiz. 30, 442 (1960).
E. W. McDaniel and E. A. Mason, Mobility and Diffusion of Ions in Gases (Wiley, New York, 1973).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products (Gos. Izd. Fiz.-Mat. Lit., Moscow, 1962).
V. I. Sysun, Probe Methods of Plasma Diagnostics (Petrozavodsk. Gos. Univ., Petrozavodsk, 1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.I. Sysun, V.S. Ignakhin, 2017, published in Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 87, No. 8, pp. 1258–1260.
Rights and permissions
About this article
Cite this article
Sysun, V.I., Ignakhin, V.S. The space charge layer of the electrical probe taking into account the collisions. Tech. Phys. 62, 1270–1273 (2017). https://doi.org/10.1134/S106378421708028X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106378421708028X