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Interaction of charged dust particles in clouds of thermodynamically equilibrium charges

  • Plasma, Gases
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Abstract

The solution of the Poisson-Boltzmann equation for a cloud of charges surrounding two charged dust particles treated as Debye atoms forming a Debye molecule is investigated numerically using Cassini coordinates. The electric force exerted on a dust particle by the other dust particle was determined by integrating the electrostatic pressure on the surface of the dust particle. It is shown that attractive forces appear when the following two conditions are satisfied. First, the Debye radius (corresponding to the electron density at half the mean distance between the dust particles) must be approximately equal to half the mean distance between the dust particles. Attraction between the dust particles emerges at a distance equal approximately to half the mean distance between the dust particles. Second, attraction takes place when like charges are concentrated predominantly on the dust particles. If the particles carry a small fraction of charge of the same polarity, repulsion between the particles takes place at all distances.

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References

  1. V. E. Fortov and I. T. Yakubov, Nonideal Plasma (Énergoatomizdat, Moscow, 1994).

    Google Scholar 

  2. N. N. Tsytovich, Usp. Fiz. Nauk 167, 57 (1997) [Phys. Usp. 40, 53 (1997)].

    Google Scholar 

  3. V. E. Fortov, A. P. Nefedov, O. F. Petrov, et al., Zh. Éksp. Teor. Fiz. 111, 467 (1997) [JETP 84, 256 (1997)].

    Google Scholar 

  4. V. E. Fortov, V. S. Filinov, A. P. Nefedov, et al., Zh. Éksp. Teor. Fiz. 111, 889 (1997) [JETP 84, 489 (1997)].

    Google Scholar 

  5. V. E. Fortov, V. I. Vladimirov, L. V. Deputatova, et al., Dokl. Akad. Nauk 366, 184 (1999) [Dokl. Phys. 44, 279 (1999)].

    Google Scholar 

  6. A. P. Nefedov, O. F. Petrov, and V. E. Fortov, Usp. Fiz. Nauk 167, 1215 (1997) [Phys. Usp. 40, 1163 (1997)].

    Google Scholar 

  7. A. N. Tkachev and S. I. Yakovlenko, Zh. Tekh. Fiz. 69(1), 53 (1999) [Tech. Phys. 44, 48 (1999)].

    Google Scholar 

  8. S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 25(16), 83 (1999) [Tech. Phys. Lett. 25, 670 (1999)].

    Google Scholar 

  9. S. I. Yakovlenko, Kratk. Soobshch. Fiz., No. 9, 3 (1999).

  10. B. Derjagin and L. Landau, Acta Physicochim. URSS 14, 633 (1941).

    Google Scholar 

  11. S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 27(9), 83 (2001) [Tech. Phys. Lett. 27, 389 (2001)].

    Google Scholar 

  12. D. N. Gerasimov and O. A. Sinkevich, Teplofiz. Vys. Temp. 37, 853 (1999).

    Google Scholar 

  13. A. S. Ivanov, Phys. Lett. A 290, 304 (2001).

    Article  ADS  Google Scholar 

  14. A. M. Larsen and D. G. Grier, Nature (London) 385, 230 (1997).

    Article  Google Scholar 

  15. D. G. Grier, Nature (London) 393, 621 (1998).

    Article  Google Scholar 

  16. W. R. Bowen and A. O. Sharif, Nature (London) 393, 663 (1998).

    Article  Google Scholar 

  17. J. C. New, Phys. Rev. Lett. 82, 1072 (1999).

    ADS  Google Scholar 

  18. M. Tokuyama, Phys. Rev. E 59, R2550 (1999).

    Article  ADS  Google Scholar 

  19. V. A. Gundienkov and S. I. Yakovlenko, Kratk. Soobshch. Fiz., No. 12, 3 (2001); Pis’ma Zh. Tekh. Fiz. 28 (10), 46 (2001) [Tech. Phys. Lett. 28, 422 (2001)].

  20. Mathematical Encyclopedia, Ed. by Yu. V. Prokhorov (Bol’shaya Rossiiskaya Éntsiklopediya, Moscow, 1995).

    Google Scholar 

  21. I. N. Bronshtein and K. A. Semendyaev, Handbook on Mathematics (Nauka, Moscow, 1964).

    Google Scholar 

  22. A. N. Tkachev and S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 25(1), 52 (1999) [Tech. Phys. Lett. 25, 21 (1999)].

    Google Scholar 

  23. S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 26(16), 47 (2000) [Tech. Phys. Lett. 26, 337 (2000)].

    Google Scholar 

  24. S. I. Yakovlenko, Pis’ma Zh. Tekh. Fiz. 26(26), 38 (2000) [Tech. Phys. Lett. 26, 1045 (2000)].

    Google Scholar 

  25. S. I. Yakovlenko, Kratk. Soobshch. Fiz., No. 1, 3 (2002).

  26. E. G. Gibson, Phys. Rev. 9, 2389 (1996).

    Google Scholar 

  27. S. A. Maiorov, A. N. Tkachev, and S. I. Yakovlenko, Usp. Fiz. Nauk 164, 298 (1994) [Phys. Usp. 37, 279 (1994)].

    Google Scholar 

  28. S. A. Mayorov, A. N. Tkachev, and S. I. Yakovlenko, Phys. Scr. 51, 498 (1995).

    ADS  Google Scholar 

  29. S. I. Yakovlenko, Izv. Vyssh. Uchebn. Zaved., Fiz. 38, 3 (1995).

    Google Scholar 

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Authors and Affiliations

  1. Institute of General Physics, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    V. A. Gundienkov & S. I. Yakovlenko

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  1. V. A. Gundienkov
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  2. S. I. Yakovlenko
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__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 5, 2002, pp. 1003–1018.

Original Russian Text Copyright © 2002 by Gundienkov, Yakovlenko.

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Gundienkov, V.A., Yakovlenko, S.I. Interaction of charged dust particles in clouds of thermodynamically equilibrium charges. J. Exp. Theor. Phys. 95, 864–877 (2002). https://doi.org/10.1134/1.1528678

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