Analytical expressions were produced for the space charge sheath thickness and ion current to the sheath in collisional mode in cylindrical geometry. Comparison was performed with numerical solution to Poisson’s equation without dividing into the sheath and the plasma. Approximating formulas were provided for a wide range of pressures.
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R. Boyd, Proc. Phys. Soc., B64, 795–804 (1951).
V. M. Zakharova, Yu. M. Kagan, K. M. Mustafin, V. I. Perel, Tech. Phys. [in Russian], 30, Issue 4, 442–449 (1960).
B. Davydov, L. Zmanovskaya, Tech. Phys. [in Russian], 6, Issue 7, 1244–1255 (1936).
K. N. Ulyanov, Tech. Phys. [in Russian], 40, Issue 4, 790–797 (1970).
V. I. Sysun, Probe Methods of Plasma Diagnostics [in Russian], Petrozavodsk University publishing house, Petrozavodsk (1997).
V. I. Sysun, Plasma Phys. Rep. [in Russian], 4, Issue 4, 931–937 (1978).
I. Langmuir and K. B. Blodgett, Phys. Rev., 22, Issue 4, 347–357 (1923).
S. V. Bellyustin, J. Exp. Theor. Phys. [in Russian], 9, 840–856 (1939).
V. G. Drozdov, Tech. Phys. [in Russian], 16, Issue 16, 407–412 (1946).
V. L. Granovskiy. Electric Current in a Gas. Steady Current [in Russian], Nauka, Moscow (1971).
I. M. Ryzhik, I. S. Gradshteyn, Tables of Integrals, Series, Rows and Products [in Russian], Gostekhizdat, Moscow, Leningrad (1963).
R. M. Crespo, Plasma Sourius. Technol., 24, 045012 (2015).
V. I. Sysun, V. S. Ignakhin, Plasma Phys. Rep., 37, Issue 4, 347–356 (2011).
E. W. McDaniel and E. A. Mason, The Mobility and Diffusion of Ions in Gases, Wiley, New York (1973).
V. I. Sysun, V. S. Ignakhin, Tech. Phys., 57, Issue 7, 955–961 (2012).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 43–51, March, 2018.
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Sysun, V.I., Sysun, A.V., Ignakhin, V.S. et al. Ion Current to a Probe in Collisional Mode Taking Into Account Ionization in Plasma Bulk. Russ Phys J 61, 445–456 (2018). https://doi.org/10.1007/s11182-018-1419-1
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DOI: https://doi.org/10.1007/s11182-018-1419-1