SpringerLink
Log in

Analytical Approximation to Equation of State for Degenerate Electron Gas

  • SHORT COMMUNICATIONS
  • Published:
High Temperature Aims and scope

Abstract

The equation of state for a degenerate electron gas is derived in an explicit form from the Fermi–Dirac distribution due to analytical expansions in terms of the degeneracy parameter. A direct computer calculation is performed with the exact integral formulas of the Fermi−Dirac distribution so that to confirm the analytical approximations obtained. Practical formulas for the equation of state and chemical potential for degenerate electron gas are recommended.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

REFERENCES

  1. Entsiklopediya nizkotemperaturnoi plazmy (Encyclopedia of Low-Temperature Plasma), Fortov, V., Ed., Moscow: Nauka, 2000, vol. 1, p. 6.

    Google Scholar 

  2. Fortov, V.E., Ekstremal’nye sostoyaniya veshchestva (Extreme States of Matter), Moscow: Fizmatlit, 2009, p. 14.

  3. Nikiforov, A.F., Novikov, V.G., Uvarov, V.B., Quantum-Statistical Models of Hot Dense Matter, Basel: Birkhauser, 2005, p. 287.

    Book  MATH  Google Scholar 

  4. Lunkes, C., Brukner, C., and Vedral, V., Phys. Rev. A, 2007, vol. 71, p. 034309.

    Article  ADS  Google Scholar 

  5. Haug, E., Astron. Astrophys., 2003, vol. 407, p. 787.

    Article  ADS  Google Scholar 

  6. Schoof, T., Groth, S., Vorberger, J., and Bonitz, M., Phys. Rev. Lett., 2015, vol. 115, p. 130402.

    Article  ADS  Google Scholar 

  7. Faussurier, G., Phys. Plasmas, 2016, vol. 23, p. 122704.

    Article  ADS  Google Scholar 

  8. Faussurier, G., Phys. Plasmas, 2020, vol. 27, p. 022709.

    Article  ADS  Google Scholar 

  9. Filinov, V.S., Larkin, A.S., and Levashov, P.R., Phys. Rev. E, 2020, vol. 102, no. 3-1, p. 033203.

  10. Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika (Theoretical Physics), vol. 5: Statisticheskaya fizika (Statistical Physics), Moscow: Fizmatlit, 2002, p. 187.

Download references

Funding

The subject matter was specified by Russian Academician V.E. Fortov. The study was supported by a grant from the Russian Science Foundation, project no. 21-79-30062.

Author information

Authors and Affiliations

  1. Joint Institute for High Temperatures of the Russian Academy of Sciences, Moscow, Russia

    V. P. Konovalov & E. E. Son

  2. Moscow Institute of Physics and Technology, 119991, Moscow, Russia

    V. P. Konovalov & E. E. Son

Authors
  1. V. P. Konovalov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. E. Son
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Konovalov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Konovalov, V.P., Son, E.E. Analytical Approximation to Equation of State for Degenerate Electron Gas. High Temp 60 (Suppl 3), S433–S436 (2022). https://doi.org/10.1134/S0018151X21060109

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018151X21060109

Search

Navigation