Bulletin of the Lebedev Physics Institute

, Volume 46, Issue 8, pp 263–266 | Cite as

Photon Distribution Function in Weakly Coupled Maxwellian Plasma

  • S. A. Maslov
  • S. Ya. Bronin
  • N. G. Gusein-zade
  • S. A. TriggerEmail author


It is shown that the photon distribution for fully ionized plasma with weak interparticle interaction asymptotically corresponds to the Planck distribution at small photon momenta k. The number of photons decreases with increasing k in comparison with the Planck distribution. Calculation of the asymptotics for large k requires consideration of the interaction effects.


photon distribution dielectric permittivity electron gas 


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The authors are grateful to A.G. Zagorodny, A.M. Ignatov, and M.V. Fedorov for helpful discussions. S.A. Maslov and S.A. Trigger acknowledge the support of the Russian Foundation for Basic Research, project no. 17-02-00573A.


  1. 1.
    G. Gamow, The Creation of the Universe (Viking, New York, 1961).Google Scholar
  2. 2.
    A. A. Penzias and R. W. Wilson, Astrophys. J. 142, 419 (1965).ADSCrossRefGoogle Scholar
  3. 3.
    M. Planck, Ann. Phys. (Berlin, Ger.) 4, 553 (1901).ADSCrossRefGoogle Scholar
  4. 4.
    P. Lubin, T. Villela, G. Epstein, and G. Smoot, Astrophys. J. Lett. 298, L1 (1985).ADSCrossRefGoogle Scholar
  5. 5.
    P. A. R. Ade et al., “A Measurements of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales from 2 Years of Polarbear Data” (Planck Collab.), arXiv:1705.02907v2 [astro-ph. CO] (2017).Google Scholar
  6. 6.
    M. Opher and R. Opher, Phys. Rev. Lett. 79, 2628 (1997).ADSCrossRefGoogle Scholar
  7. 7.
    A. G. Zagorodny and S. A. Triger and, Kratkie Soobshcheniya po Fizike FIAN 45(5), 45 (2018) [Bulletin of the Lebedev Physics Institute 45, 159 (2018)].Google Scholar
  8. 8.
    S. A. Trigger, Phys. Lett. A 370, 365 (2007).ADSCrossRefGoogle Scholar
  9. 9.
    V. B. Bobrov, I. M. Sokolov, and S. A. Triger, Pisma Zh. Eksp. Teor. Fiz. 101, 326 (2015) [JETP Lett. 101, 299 (2015)].Google Scholar
  10. 10.
    V. B. Bobrov and S. A. Triger, Teor.Mat. Fiz. 192, 523 (2017) [Theor.Math. Phys. 192, 1396 (2017)].CrossRefGoogle Scholar
  11. 11.
    S. A. Maslov, S. A. Triger, and N. G. Goussein-zade, Kratkie Soobshcheniya po Fizike FIAN 45(8), 14 (2018) [Bulletin of the Lebedev Physics Institute 45, 233 (2018)].Google Scholar
  12. 12.
    V. B. Bobrov, Teor. Mat. Fiz. 88, 141 (1991) [Theor.Math. Phys. 88, 773 (1991)].CrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  • S. A. Maslov
    • 1
  • S. Ya. Bronin
    • 1
  • N. G. Gusein-zade
    • 2
  • S. A. Trigger
    • 1
    • 2
    Email author
  1. 1.Joint Institute for High TemperaturesRussian Academy of SciencesMoscowRussia
  2. 2.Prokhorov General Physics InstituteRussian Academy of SciencesMoscowRussia

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