Short Communications

Analytical approximation to equation of state for degenerate electron gas

V. P. Konovalov^ab, E. E. Son<sup>ab

a</sup> Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

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.

UDC: 533.93

Received: 22.10.2021
Revised: 16.11.2021
Accepted: 23.11.2021

DOI: 10.31857/S0040364421060107

 English version: High Temperature, 2022, 60:1, Suppl. 3, S433–S436

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