Skip to main content
Log in

High-frequency spectral distribution of the equilibrium radiation energy in a plasma

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

Abstract

We establish that the difference of the spectral distribution of the equilibrium radiation energy in matter from the Planck formula in the high-frequency range is determined by the imaginary part of the transverse dielectric permittivity of the matter. Based on this, we show that in a rarified high-temperature fully ionized nonrelativistic plasma, the high-frequency spectral distribution of the equilibrium radiation energy differs essentially from the Planck formula because of the power-law character of the decrease in the frequency, which is due to the presence of matter.

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. M. Planck, Ann. Phys., 309, 553–563 (1901).

    Article  Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 5, Statistical Physics: Part 1, Nauka, Moscow (1976); English transl., Pergamon, Oxford (1980).

    Google Scholar 

  3. M. L. Levin and S. M. Rytov, Theory of Eqilibrium Thermal Fluctuations in Electrodynamics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  4. A. I. Volokitin and B. N. J. Persson, Phys. Usp., 50, 879–906 (2007).

    Article  ADS  Google Scholar 

  5. E. A. Vinogradov and I. A. Dorofeyev, Phys. Usp., 52, 425–459 (2009).

    Article  ADS  Google Scholar 

  6. V. B. Bobrov, J. Phys.: Cond. Matt., 2, 6695–6698 (1990).

    ADS  Google Scholar 

  7. V. B. Bobrov, Theor. Math. Phys., 88, 773–776 (1991).

    Article  Google Scholar 

  8. S. A. Trigger, Phys. Lett. A, 370, 365–369 (2007); arXiv:cond-mat/0703572v1 (2007).

    Article  ADS  Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 8, Electrodynamics of Continuous Media, Nauka, Moscow (1982); English transl. prev. ed., Pergamon, New York (1975).

    Google Scholar 

  10. V. M. Agranovich and V. L. Ginzburg, Electrodynamics with Account for Spatial Dispersion and the Theory of Excitons [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  11. D. A. Kirzhnits, Sov. Phys. Usp., 30, 575–587 (1987).

    Article  ADS  Google Scholar 

  12. Yu. S. Barash and V. L. Ginzburg, Sov. Phys. Usp., 18, 305–322 (1975).

    Article  ADS  Google Scholar 

  13. E. S. Fradkin, Tr. Fiz. Inst. P. N. Lebedev, 29, 7–138 (1965).

    Google Scholar 

  14. A. Akhiezer and S. Peletminskii, Methods of Statistical Physics [in Russian], Nauka, Moscow (1977); English transl., Pergamon, Oxford (1981).

    Google Scholar 

  15. V. B. Bobrov, I. M. Sokolov, and S. A. Triger, JETP Lett., 101, 299–302 (2015).

    Article  ADS  Google Scholar 

  16. V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasma and Plasmalike Media [in Russian], Librokom, Moscow (2013).

    Google Scholar 

  17. V. B. Bobrov, Phys. A, 187, 603–624 (1992).

    Article  MathSciNet  Google Scholar 

  18. M. V. Kuzelev and A. A. Rukhadze, Phys. Usp., 42, 603–605 (1999).

    Article  ADS  Google Scholar 

  19. D. A. Kirzhnits, JETP Lett., 46, 308–311 (1987).

    ADS  Google Scholar 

  20. W.-D. Kraeft, D. Kremp, W. Ebeling, and G. Ropke, Quantum Statistics of Charged Particle Systems, Akademie, Berlin (1986).

    Book  Google Scholar 

  21. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatlit, Moscow (1963); English transl.: Tables of Integrals, Series, and Products, Acad. Press, New York (1980).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. B. Bobrov.

Additional information

This research was funded by a grant from the Russian Scientific Foundation (Grant No. 14-19-01492).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 187, No. 1, pp. 104–113, April, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bobrov, V.B., Trigger, S.A. High-frequency spectral distribution of the equilibrium radiation energy in a plasma. Theor Math Phys 187, 539–547 (2016). https://doi.org/10.1134/S0040577916040085

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040577916040085

Keywords

Navigation