Skip to main content
Log in

Nonstationary kinetic theory of ion transport in plasma with small perturbations

  • Plasma Kinetics
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

A theory of charged particle transport for small potential perturbations in a fully ionized plasma is developed on the basis of solving a linearized kinetic equation with the Landau collision integral. This theory is free of any constraints on the characteristic time and spatial scales of perturbations. Ion fluxes appropriate for an arbitrary ion-ion collision frequency that can ensure nonlocal space-time transport in the plasma are calculated. The obtained ion transport coefficients are used to calculate the partial contribution of ions to the longitudinal permittivity of collisional plasma. The resulting expression for the plasma permittivity is applicable in the entire range of frequencies and wavenumbers.

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.

Similar content being viewed by others

References

  1. O. Larroche, Eur. Phys. J. D 27, 131 (2003).

    Article  ADS  Google Scholar 

  2. M. D. Tracy, E. A. Williams, K. G. Estabrook, et al., Phys. Fluids 5, 1420 (1993).

    Article  Google Scholar 

  3. V. Yu. Bychenkov, J. Myatt, W. Rozmus, and V. T. Tikhonchuk, Phys. Plasmas 1, 2419 (1994).

    Article  ADS  Google Scholar 

  4. J. Zheng and C. X. Yu, Plasma Phys. Controlled Fusion 42, 435 (2000).

    Article  ADS  Google Scholar 

  5. V. Yu. Bychenkov, W. Rozmus, V. T. Tikhonchuk, and A. V. Brantov, Phys. Rev. Lett. 75, 4405 (1995).

    Article  ADS  Google Scholar 

  6. A. V. Brantov, V. Yu. Bychenkov, V. T. Tikhonchuk, and W. Rozmus, JETP 83, 716 (1996).

    ADS  Google Scholar 

  7. A. V. Brantov, V. Yu. Bychenkov, W. Rozmus, and C. E. Capjack, JETP 100, 1159 (2005).

    Article  ADS  Google Scholar 

  8. A. V. Brantov, V. Yu. Bychenkov, and V. T. Tikhonchuk, Plasma Phys. Rep. 24, 325 (1998).

    ADS  Google Scholar 

  9. A. V. Brantov and V. Yu. Bychenkov, Plasma Phys. Rep. 35, 244 (2009).

    Article  ADS  Google Scholar 

  10. V. Yu. Bychenkov, Plasma Phys. Rep. 24, 801 (1998).

    ADS  Google Scholar 

  11. A. V. Brantov, V. Yu. Bychenkov, and V. Rozmus, Plasma Phys. Rep. 32, 337 (2006).

    Article  ADS  Google Scholar 

  12. Zh. Zheng, W. Rozmus, V. Yu. Bychenkov, et al., Phys. Plasmas 16, 102301 (2009).

    Article  ADS  Google Scholar 

  13. A. V. Brantov, V. Yu. Bychenkov, and W. Rozmus, Phys. Rev. Lett. 108 P, 205001 (2012).

    Article  ADS  Google Scholar 

  14. I. P. Shkarofsky, T. W. Johnston, and M. P. Bachynski, The Particle Kinetics of Plasmas (Addison-Wesley. Reading, 1966).

    Google Scholar 

  15. Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. 1, p. 205.

    Google Scholar 

  16. A. V. Brantov, V. Yu. Bychenkov, and W. Rozmus, JETP 106, 983 (2008).

    Article  ADS  Google Scholar 

  17. A. V. Brantov, V. Yu. Bychenkov, V. T. Tikhonchuk, et al., Phys. Plasmas 6, 3002 (1999).

    Article  ADS  Google Scholar 

  18. J. F. Luciani, P. Mora, and J. Virmont, Phys. Rev. Lett. 51, 1664 (1983).

    Article  ADS  Google Scholar 

  19. E. M. Epperlein, Laser Part. Beams 12, 257 (1994).

    Article  ADS  Google Scholar 

  20. A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Springer-Verlag, Berlin, 1984).

    Book  Google Scholar 

  21. W. Rozmus, J. Plasma Phys. 22, 41 (1979).

    Article  ADS  Google Scholar 

  22. E. M. Epperlein, Phys. Rev. Lett. 65, 2145 (1990).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Brantov.

Additional information

Original Russian Text © A.V. Brantov, V.Yu. Bychenkov, W. Rozmus, 2013, published in Fizika Plazmy, 2013, Vol. 39, No. 5, pp. 424–434.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brantov, A.V., Bychenkov, V.Y. & Rozmus, W. Nonstationary kinetic theory of ion transport in plasma with small perturbations. Plasma Phys. Rep. 39, 364–373 (2013). https://doi.org/10.1134/S1063780X13050012

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X13050012

Keywords

Navigation