On the motion of charged particles in an alternating nonuniform electric field
Tóm tắt
The equations of motion for a charged particle in an electric field featuring a stationary and an oscillating component are considered for the case where the force of friction is linear in the particle velocity. The averaging of these equations over the period of field oscillations is legitimate under some specific conditions. The most general expression for an additional stationary force acting on the particle under these conditions is derived, and the limiting values of this force are found. Applications of the results obtained in the present study are considered. Such applications include the use of pulsed currents in the electrochemical dimensional treatment of materials.
Tài liệu tham khảo
A. V. Gaponov and M. A. Miller, Sov. Phys. JETP 7, 168 (1958).
B. M. Bolotovskii and A. V. Serov, Phys. Usp. 37, 515 (1994).
A. V. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1988; Springer, Berlin, 1984).
F. Chen, Introduction to Plasma Physics (Plenum, New York, 1984; Mir, Moscow, 1987).
V. N. Volkov and I. A. Krylov, Interinstitute Collection of Scientific Works (Ivanovsk. Energ. Inst., Ivanovo, 1976), pp. 76–83.
L. D. Landau and E. M. Livshitz, Course of Theoretical Physics, Vol. 1: Mechanics (Nauka, Moscow, 1982; Pergamon, New York, 1988).
V. I. Arnold, Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1989; Springer, Berlin, 1989).
S. A. Solunin, A. M. Solunin, and M. A. Solunin, Tech. Phys. Lett. 35, 661 (2009).
S. A. Solunin, A. M. Solunin, and M. A. Solunin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 48 (2003).
A. M. Solunin and M. A. Solunin, “About Ion Acceleration of Cathode Layer of Glow Discharge by High-Frequency ElectricalField,” in Proceedings of the 2nd All-Russia Scientific Conference on Molecular Physics of Inhomogeneou Systems, Ivanovo, 2000, pp. 96–100.
A. M. Solunin and M. A. Solunin, “On the Influence of Nonuniform Electrical Field on Inhomogeneous Plasma of Glow Discharge,” in Proceedings of the 2nd All-Russian Scientific Conference on Molecular Physics of Inhomogeneou Systems, Ivanovo, 2000, pp. 101–103.
S. M. Kuz’min, M. A. Solunin, N. G. Dem’yantseva, et al., Elektron. Obr. Mater., No 4, 53 (2006).
N. G. Dem’yantseva, M. A. Solunin, and S. M. Kuz’min, in Actual Problems of Electrochemistry Technology: Collection of Young Scientists (Saratov, 2008), pp. 163–170.
N. G. Dem’yantseva, S. M. Kuz’min, M. A. Solunin, et al., Zh. Prikl. Khim. 83, 249 (2010).
N. G. Dem’yantseva, M. A. Solunin, S. M. Kuz’min, et al., Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Technol. 52, 78 (2009).
A. M. Solunin, M. A. Solunin, and S. A. Solunin, Zh. Ivanovsk. Mat. Obshch., No. 1(7), 53 (2010).
A. M. Solunin, M. A. Solunin, and S. A. Solunin, Zh. Ivanovsk. Mat. Obshch., No. 1(7), 47 (2010).