Skip to main content
Log in

Spectral Characteristics of Charged Particles in Limited Chain Structures

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The spectral characteristics of the stochastic motion in chain structures of charged particles in the electric field of a trap have been studied. The characteristic frequencies of particles, as well as a method of their calculation, have been considered. Analytical relations have been proposed for the spectral density of displacements in small chain structures of particles interacting via a pair potential. These relations have been tested by the numerical simulation of the problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.

Similar content being viewed by others

REFERENCES

  1. O. S. Vaulina, O. F. Petrov, V. E. Fortov, A. G. Khrapak, and S. A. Khrapak, Dusty Plasma: Experiment and Theory (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  2. Complex and Dusty Plasmas, Ed. by V. E. Fortov and G. E. Morfill (CRC, Boca Raton, FL, 2010).

    Google Scholar 

  3. A. Ivlev, G. Morfill, H. Lowen, and C. P. Royall, Complex Plasmas and Colloidal Dispersions: Particle-Resolved Studies of Classical Liquids and Solids (World Sci., Singapore, 2012).

    Book  Google Scholar 

  4. Photon Correlation and Light Beating Spectroscopy, Ed. by H. Z. Cummins and E. R. Pike (Plenum, New York, 1974).

    Google Scholar 

  5. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley Interscience, Chichester, 1975).

    MATH  Google Scholar 

  6. A. A. Ovchinnikov, S. F. Timashev, and A. A. Belyi, Kinetics of Diffusion-Controlled Chemical Processes (Khimiya, Moscow, 1986) [in Russian].

    Google Scholar 

  7. O. S. Vaulina and K. G. Adamovich, J. Exp. Theor. Phys. 106, 955 (2008).

    Article  ADS  Google Scholar 

  8. O. S. Vaulina, K. G. Adamovich, O. F. Petrov, and V. E. Fortov, Zh. Eksp. Teor. Fiz. 134, 367 (2008).

    Google Scholar 

  9. E. A. Lisin, R. A. Timirkhanov, O. S. Vaulina, O. F. Petrov, and V. E. Fortov, New J. Phys. 15, 053004 (2013).

    Article  ADS  Google Scholar 

  10. O. S. Vaulina and E. A. Lisin, Phys. Plasmas 16, 113702 (2009).

    Article  ADS  Google Scholar 

  11. V. E. Fortov, O. F. Petrov, O. S. Vaulina, and K. G. Koss, JETP Lett. 97, 322 (2013).

    Article  ADS  Google Scholar 

  12. G. A. Hebner, M. E. Riley, and K. E. Greenberg, Phys. Rev. E 66, 046407 (2002).

    Article  ADS  Google Scholar 

  13. O. S. Vaulina and I. E. Drangevski, Phys. Scr. 73, 577 (2006).

    Article  ADS  Google Scholar 

  14. Yu. P. Raizer, Gas Discharge Physics (Springer, Berlin, 1991; Nauka, Moscow, 1987).

  15. W.-T. Juan, Z.-H. Huang, J.-W. Hsu, Y.-J. Lai, and I. Lin, Phys. Rev. E 58, 6947 (1998).

    Article  ADS  Google Scholar 

  16. O. Ishihara, T. Kamimura, K. I. Hirose, and N. Sato, Phys. Rev. E 66, 046406 (2002).

    Article  ADS  Google Scholar 

  17. M. Klindworth, A. Melzer, A. Piel, and V. A. Schweigert, Phys. Rev. B 61, 8404 (2000).

    Article  ADS  Google Scholar 

  18. A. Melzer, M. Klindworth, and A. Piel, Phys. Rev. Lett. 87, 115002 (2001).

    Article  ADS  Google Scholar 

  19. A. V. Ivlev, J. Bartnick, M. Heinen, C. R. Du, V. Nosenko, and H. Löwen, Phys. Rev. X 5, 011035 (2015).

    Google Scholar 

  20. O. S. Vaulina, I. I. Lisina, and K. G. Koss, Plasma Phys. Rep. 39, 394 (2013).

    Article  ADS  Google Scholar 

  21. I. I. Lisina and O. S. Vaulina, Europhys. Lett. 103, 55002 (2013).

    Article  ADS  Google Scholar 

  22. A. K. Mukhopadhyay and J. Goree, Phys. Rev. E 90, 013102 (2014).

    Article  ADS  Google Scholar 

  23. O. S. Vaulina and E. A. Sametov, J. Exp. Theor. Phys. 127, 350 (2018).

    Article  ADS  Google Scholar 

  24. Yu. L. Klimontovich, Statistical Physics (Nauka, Moscow, 1982; Gordon and Breach, New York, 1986).

  25. A. A. Voronov, Theory of Automatic Control, Part 2 (Vyssh. Shkola, Moscow, 1986) [in Russian].

    Google Scholar 

  26. E. A. Lisin and O. S. Vaulina, J. Exp. Theor. Phys. 115, 947 (2012).

    Article  ADS  Google Scholar 

  27. E. A. Lisin, O. S. Vaulina, and O. F. Petrov, J. Exp. Theor. Phys. 124, 678 (2017).

    Article  ADS  Google Scholar 

  28. E. A. Sametov, E. A. Lisin, and O. S. Vaulina, J. Exp. Theor. Phys. 130, 463 (2020).

    Article  ADS  Google Scholar 

  29. E. A. Sametov, E. A. Lisin, and O. S. Vaulina, Vestn. OIVT, No. 2, 33 (2019).

    Google Scholar 

  30. J. B. Pieper and J. Goree, Phys. Rev. Lett. 77, 3137 (1996).

    Article  ADS  Google Scholar 

  31. A. Homann, A. Melzer, and A. Piel, Phys. Rev. E 59, 3835 (1996).

    Article  ADS  Google Scholar 

  32. K. Qiao, Z. Ding, J. Kong, M. Chen, L. S. Matthews, and T. W. Hyde, arXiv: 1810.07173 (2018).

  33. R. Yousefi, M. Chen, L. S. Matthews, and T. W. Hyde, arXiv: 1607.03177 (2016).

  34. O. S. Vaulina, E. A. Lisin, A. V. Gavrikov, O. F. Petrov, and V. E. Fortov, J. Exp. Theor. Phys. 110, 662 (2010).

    Article  ADS  Google Scholar 

  35. E. A. Lisin, O. S. Vaulina, and O. F. Petrov, Phys. Plasmas 25, 013702 (2018).

    Article  ADS  Google Scholar 

  36. I. N. Bronshtein and K. A. Semendyaev, Handbook on Mathematics for Engineers and Technical Students (Nauka, Moscow, 1986; Springer, New York, 2004).

  37. O. S. Vaulina, K. G. Adamovich, and I. E. Dranzhevskii, Plasma Phys. Rep. 31, 562 (2005).

    Article  ADS  Google Scholar 

  38. O. S. Vaulina, I. I. Lisina, and E. A. Lisin, Plasma Phys. Rep. 44, 270 (2018).

    Article  ADS  Google Scholar 

  39. O. S. Vaulina, Phys. Plasmas 24, 023705 (2017).

    Article  ADS  Google Scholar 

  40. O. S. Vaulina, J. Exp. Theor. Phys. 124, 839 (2017).

    Article  ADS  Google Scholar 

Download references

Funding

This work was supported in part by the Russian Foundation for Basic Research (project no. 18-38-20175) and by the Presidium of the Russian Academy of Sciences.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to O. S. Vaulina or E. A. Lisin.

Additional information

Translated by R. Tyapaev

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vaulina, O.S., Sametov, E.A. & Lisin, E.A. Spectral Characteristics of Charged Particles in Limited Chain Structures. J. Exp. Theor. Phys. 131, 361–373 (2020). https://doi.org/10.1134/S1063776120060072

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776120060072

Navigation