Abstract
Based on the model of point sinks, we consider the problem on the screening of the charge of a moving macroparticle in a nonequilibrium plasma. The characteristic formation times of the polarization cloud around such a macroparticle have been determined by the method of a three-dimensional integral Fourier transformation in spatial variables and a Laplace transformation in time. The screening effect is shown to be enhanced with increasing macroparticle velocity. We consider the applicability conditions for the model of point sinks and establish that the domain of applicability of the results obtained expands with decreasing gas ionization rate and macroparticle size. We consider the problem of charge screening at low velocities and establish that the stationary potential of the moving charge has a dipole component that becomes dominant at large distances. We show that the direction of the force exerted on the dust particle by the induced charges generally depends on the relationship between the transport and loss coefficients of the plasma particles in a plasma. When the Langevin ion recombination coefficient β iL = 4πeμ i exceeds the electron-ion recombination coefficient β ei , this force will accelerate the dust particles in the presence of sinks. In the absence of sinks or when β ei > β iL , this force will be opposite in direction to the dust particle velocity. We also consider the problem on the energy and force of interaction between a moving charged macroparticle and the induced charges.
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References
P. Debye and E. Hückel, Phys. Z. 24, 305 (1923).
A. A. Vlasov, Many-Particle Theory and Its Application. to Plasma (Gostekhizdat, Moscow, 1950; Gordon and Breach, New York, 1961).
D. Pines and D. Bohm, Phys. Rev. 85, 338 (1952).
W. B. Thompson and J. Hubbard, Rev. Mod. Phys. 32, 714 (1960).
D. Montgomery, G. Joyce, and R. Sugihara, Plasma Phys. 10, 681 (1968).
G. Cooper, Phys. Fluids 12, 2707 (1969).
P. M. Echenique, R. H. Ritchie, and W. Brandt, Phys. Rev. B: Condens. Matter 20, 2567 (1979).
É. É. Trofimovich and V. P. Kraoenov, Zh. Éksp. Teor. Fiz. 102(1), 71 (1992) [Sov. Phys. JETP 75 (1), 37 (1992).
É. É. Trofimovich and V. P. Kraoenov, Zh. Éksp. Teor. Fiz. 104(6), 3971 (1993) [JETP 77 (6), 910 (1993)].
A. V. Filippov, A. G. Zagorodny, and A. I. Momot, Pis’ma Zh. Éksp. Teor. Fiz. 88(1), 27 (2008) [JETP Lett. 88 (1), 24 (2007)].
A. G. Zagorodny, A. V. Filippov, A. F. Pal’, A. N. Starostin, and A. I. Momot, Zh. Fiz. Dosl. 11(2), 158 (2007).
S. V. Khrapak, S. A. Zhdanov, A. V. Ivlev, and G. E. Morfill, J. Appl. Phys. 101, 033307 (2007).
S. V. Vladimirov, S. A. Khrapak, M. Chaudhuri, and G. E. Morfill, Phys. Rev. Lett. 100, 055002 (2008).
F. Schweitzer, W. Ebeling, and B. Tilch, Phys. Rev. Lett. 80, 5044 (1998).
U. Erdmann, W. Ebeling, L. Schimansky-Geier, and F. Schweitzer, Eur. Phys. J. B 15, 105 (2000).
S. A. Trigger, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 67, 046403 (2003).
S. A. Trigger and A. G. Zagorodny, Condens. Matter Phys. 7, 629 (2004).
A. V. Filippov, A. G. Zagorodny, A. F. Pal’, and A. N. Starostin, Pis’ma Zh. Éksp. Teor. Fiz. 81(4), 180 (2005) [JETP Lett. 81 (4), 146 (2005)].
A. V. Filippov, A. G. Zagorodny, A. I. Momot, A. F. Pal, and A. N. Starostin, Zh. Éksp. Teor. Fiz. 131(1), 164 (2007) [JETP 104 (1), 147 (2007)].
A. V. Filippov, N. A. Dyatko, A. F. Pal’, and A. N. Starostin, Fiz. Plazmy (Moscow) 29(3), 214 (2003) [Plasma Phys. Rep. 29 (3), 190 (2003)].
H. Bateman and A. Erdélyi, Tables of Integral Transforms (McGraw-Hill, New York, 1954; Nauka, Moscow, 1969), Vol. 1.
B. M. Smirnov, Complex Ions (Nauka, Moscow, 1983) [in Russian].
B. M. Smirnov, Ions and Excited Atoms in Plasma (Atomizdat, Moscow, 1974) [in Russian].
V. A. Ivanov, Usp. Fiz. Nauk 162(1), 35 (1992) [Sov. Phys.-Usp. 35 (1), 37 (2992)].
A. V. Filippov, A. G. Zagorodny, A. I. Momot, A. F. Pal’, and A. N. Starostin, Zh. Éksp. Teor. Fiz. 132(4), 949 (2007) [JETP 105 (5), 831 (2007)].
A. F. Pal’, A. N. Starostin, and A. V. Filippov, Fiz. Plazmy 27(2), 155 (2001) [Plasma Phys. Rep. 27 (2), 143 (2001)].
A. F. Pal’, A. O. Serov, A. N. Starostin, A. V. Filippov, and V. E. Fortov, Zh. Éksp. Teor. Fiz. 119(2), 272 (2001) [JETP 92 (2), 235 (2001)].
F. Melandso and J. Goree, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 52, 5312 (1995).
S. V. Vladimirov and O. Ishihara, Phys. Plasmas 3, 444 (1996).
V. A. Schweigert, I. V. Schweigert, A. Melzer, A. Homann, and A. Piel, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 54, 4155 (1996).
A. Melzer, V. A. Schweigert, I. V. Schweigert, A. Homann, S. Peters, and A. Piel, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 54, R46 (1996).
M. Lampe, G. Joyce, G. Ganguli, and V. Gavrishchaka, Phys. Plasmas 7, 3851 (2000).
A. N. Bogolyubov and V. V. Kravtsov, Problems of. Mathematical Physics (Moscow State University, Moscow, 1998) [in Russian].
V. E. Fortov, A. P. Nefedov, O. F. Petrov, A. A. Samarian, and A. V. Chernyschev, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 54, R2236 (1996).
A. Zagorodny, O. Bystrenko, T. Bystrenko, A. V. Filippov, A. Momot, A. F. Pal’, and A. N. Starostin, in Proceedings. of the XXVIII International Conference on Phenomena. in Ionized Gases (ICPIG), Prague, Czech. Republic, 2007, p. 26.
Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Meilikhov (Énergoatomizdat, Moscow, 1991; CRC Press, Boca Raton, FL, United States, 1996).
L. D. Landau and E. M. Lifshitz, Course of Theoretical. Physics, Vol 10: Physical Kinetics (Nauka, Moscow, 1979; Butterworth-Heinemann, Oxford, 1984).
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Original Russian Text © A.V. Filippov, A.G. Zagorodny, A.I. Momot, A.F. Pal’, A.N. Starostin, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 135, No. 3, pp. 567–586.
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Filippov, A.V., Zagorodny, A.G., Momot, A.I. et al. Screening of a moving charge in a nonequilibrium plasma. J. Exp. Theor. Phys. 108, 497–515 (2009). https://doi.org/10.1134/S1063776109030145
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DOI: https://doi.org/10.1134/S1063776109030145