Abstract
An analytical solution to the problem of the ion velocity distribution evolution after turn-on of a periodic electric field is derived. The solution is constructed for the case of resonance charge exchange at a constant collision frequency (charge exchange model). The specific features of the transient process at the early stage of evolution are revealed. The phase shift between the applied field and the ion current at the periodic stage of the process is analyzed. The distribution function exhibits abrupt steps propagating in the velocity space. A method is proposed to study the ion-atom interaction cross section using a periodic electric field. The method is based on analysis of the current toward the electrode with a retarding potential.
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References
A. Maneschijn and W. J. Goedheer, J. Appl. Phys. 69, 2923 (1991).
A. D. Kypers and H. J. Hopman, J. Appl. Phys. 63, 1894 (1988).
F. F. Chen and J. P. Chang, Lecture Notes on Principles of Plasma Processing (Springer, New York, 2003).
M. A. Liberman and A. J. Lichtenberg, Principles of Plasma Discharge and Material Processing (Wiley Interscience, Hoboken, NJ, 2005).
I. A. Buryakov, E. V. Krylov, E. G. Nazarov, and U. Kh. Rasulev, Int. J. Mass Spectrom. Ion Processes 128, 143 (1993).
B. Li, R. E. Robson, and R. D. White, Phys. Rev. E 74, 026405 (2006).
A. Y. Ender, I. A. Ender, and A. B. Gerasimenko, Open Plasma Phys. J. 2, 24 (2009).
A. Ya. Ender and I. A. Ender, Tech. Phys. 55, 166 (2010).
A. Ya. Ender and I. A. Ender, and A. B. Gerasimenko, Tech. Phys. 55, 176 (2010).
A. Ya. Ender and I. A. Ender, Collision Integral of the Boltzmann Equation and Moment Method (St. Petersb. Univ., St. Petersburg, 2003).
R. E. Robson and T. Makabe, Aus. J. Phys. 47, 305 (1994).
H. Sugawara, H. Tagashira, and Y. Sakai, J. Phys. D: Appl. Phys. 29, 1168 (1996).
P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954).
E. A. Mason and E. W. McDaniel, Transport Properties of Ions in Gases (Wiley, New York, 1988).
D. Burnett, Proc. London Math. Soc. 40, 382 (1935).
T. Kihara, Rev. Mod. Phys. 25, 844 (1953).
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Original Russian Text © A.Ya. Ender, I.A. Ender, A.B. Gerasimenko, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 7, pp. 6–15.
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Ender, A.Y., Ender, I.A. & Gerasimenko, A.B. Evolution of the ion velocity distribution after sudden turn-on of a periodic electric field: A charge exchange model. Tech. Phys. 58, 936–945 (2013). https://doi.org/10.1134/S1063784213070074
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DOI: https://doi.org/10.1134/S1063784213070074