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Low-Frequency Behavior of the Spectral Energy Distribution Function of Equilibrium Radiation in a Degenerate Electron Gas

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Abstract

The low-frequency asymptotic behavior of the spectral energy distribution density of equilibrium radiation in a collisionless degenerate electron gas is studied. It is shown that the spatial dispersion in the electron gas permittivity leads to a logarithmic singularity in the spectral density distribution at low frequencies, similar to that we previously obtained for a Maxwellian plasma. In this case, the contribution of low frequencies to the total radiation energy remains finite. The results of the analytical consideration coincide with the numerical calculation.

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References

  1. M. Planck, Ann. der Phys. 1, 719 (1900); ibid, 4, 553 (1900).

    Article  ADS  Google Scholar 

  2. L. D. Landau and E.M. Lifshitz, Statistical Physics, Part 1 (Nauka,Moscow, 1976; Oxford Univ., Oxford, 1998).

    Google Scholar 

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

    Google Scholar 

  4. A. I. Volokitin and B. N. J. Persson, Usp. Fiz. Nauk 177, 921 (2007) [Phys. Usp. 50, 879 (2007)].

    Article  Google Scholar 

  5. E. A. Vinogradov and I. A. Dorofeyev, Usp. Fiz. Nauk 179, 449 (2009) [Phys. Usp. 52, p425 (2009)].

    Article  Google Scholar 

  6. S. A. Trigger, Phys. Lett. A 370, 365 (2007).

    Article  ADS  Google Scholar 

  7. 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 

  8. V. B. Bobrov and S. A. Triger, Teor.Mat. Fiz. 187, 104 (2016) [Theor.Math. Phys. 187, 539 (2016)].

    Article  Google Scholar 

  9. S. A. Maslov, S. A. Trigger, 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 

  10. A. G. Zagorodny and S. A. Trigger, Kratkie Soobshcheniya po Fizike FIAN 45(5), 45 (2018) [Bulletin of the Lebedev Physics Institute 45, 159 (2018)].

    Google Scholar 

  11. S. A. Maslov, V. B. Bobrov, A. V. Kirillin and S. A. Trigger, J. Phys. Conf. Ser. 946, 012125 (2018).

    Article  Google Scholar 

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Authors and Affiliations

  1. Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13, Moscow, 125412, Russia

    S. A. Maslov & S. A. Trigger

  2. Moscow State University, ul. Leninskie gory 1, Moscow, 119991, Russia

    S. A. Maslov

  3. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    N. G. Goussein-zade & S. A. Trigger

Authors
  1. S. A. Maslov
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  2. N. G. Goussein-zade
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  3. S. A. Trigger
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Correspondence to S. A. Trigger.

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Original Russian Text © S.A. Maslov, N.G. Goussein-zade, S.A. Trigger, 2018, published in Kratkie Soobshcheniya po Fizike, 2018, Vol. 45, No. 12, pp. 15–20.

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Maslov, S.A., Goussein-zade, N.G. & Trigger, S.A. Low-Frequency Behavior of the Spectral Energy Distribution Function of Equilibrium Radiation in a Degenerate Electron Gas. Bull. Lebedev Phys. Inst. 45, 381–384 (2018). https://doi.org/10.3103/S1068335618120035

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  • DOI: https://doi.org/10.3103/S1068335618120035

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