Skip to main content
Log in

Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We consider a collisional plasma with an arbitrary degree of degeneration of the electron gas. The plasma is located in an external electromagnetic field. We calculate the electric current generated in the plasma by the electromagnetic field. We show that the electric current has two nonzero components. One component is a transverse current, obtained by a linear analysis. The second component is a longitudinal current directed along the wave vector and orthogonal to the transverse current. We consider the case of small wave numbers. As the collision rate tends to zero, all the derived formulas pass into formulas for a collisionless plasma. We perform a graphical investigation of the dimensionless current density depending on the wave number, the oscillation frequency of the electromagnetic field, and the rate of electron collisions with plasma particles.

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. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev., 94, 511–525 (1954).

    Article  ADS  Google Scholar 

  2. P. Welander, Ark. Fys., 7, 507–553 (1954).

    MathSciNet  Google Scholar 

  3. V. L. Ginzburg and A. V. Gurevich, Sov. Phys. Usp., 3, 115–146 (1960).

    Article  ADS  Google Scholar 

  4. V. N. Tsytovich, Sov. Phys. Usp., 9, 805–836 (1967).

    Article  ADS  Google Scholar 

  5. L. M. Kovrizhkhykh and V. N. Tsytovich, Soviet Phys. JETP, 20, 978–983 (1965).

    Google Scholar 

  6. V. N. Tsytovich, Nonlinear Effects in a Plasma [in Russian], Lenand, Moscow (2014).

    Google Scholar 

  7. P. K. Shukla and B. Eliasson, Phys. Usp., 53, 51–76 (2010).

    Article  ADS  Google Scholar 

  8. N. N. Akhmediev, I. V. Mel’nikov, and L. J. Robur, Laser Phys., 4, 1194–1197 (1994).

    Google Scholar 

  9. S. G. Bezhanov and S. A. Uryupin, Quantum Electronics, 43, 1048–1054 (2013).

    Article  ADS  Google Scholar 

  10. V. E. Grishkov and S. A. Uryupin, “Generation of a nonlinear current along the propagation direction of a short laser pulse [in Russian],” in: XLI International (Zvenigorod) Conference on Plasma Physics and Controllable Thermonuclear Synthesis (10–14 February 2014), ZAO NTTs Plazmaiofan, Moscow (2014), p. 95.

    Google Scholar 

  11. N. D. Mermin, Phys. Rev. B, 1, 2362–2363 (1970).

    Article  ADS  Google Scholar 

  12. A. V. Latyshev and A. A. Yushkanov, Theor. Math. Phys., 175, 559–569 (2013).

    Article  MathSciNet  Google Scholar 

  13. A. V. Latyshev and A. A. Yushkanov, Theor. Math. Phys., 178, 130–141 (2014).

    Article  MathSciNet  Google Scholar 

  14. A. V. Latyshev and A. A. Yushkanov, Plasma Physics Reports, 41, 715–724 (2015).

    Article  ADS  Google Scholar 

  15. A. V. Latyshev and A. A. Yushkanov, Fluid Dynamics, 50, 820–827.

  16. A. V. Latyshev and A. A. Yushkanov, “Generation of longitudinal electric current by transversal electromagnetic field in degenerate plasmas,” arXiv:1503.08700v2 [physics.plasm-ph] (2015).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Latyshev.

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 187, No. 1, pp. 127–138, April, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Latyshev, A.V., Yushkanov, A.A. Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma. Theor Math Phys 187, 559–569 (2016). https://doi.org/10.1134/S0040577916040103

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040577916040103

Keywords

Navigation