Analytical Approximation to Equation of State for Degenerate Electron Gas

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...

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Bibliographic Details
Published in:	High temperature Vol. 60; no. Suppl 3; pp. S433 - S436
Main Authors:	Konovalov, V. P., Son, E. E.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-12-2022 Springer Nature B.V
Subjects:	Approximation Atoms and Molecules in Strong Fields Chemical potential Classical and Continuum Physics Electron gas Equations of state Fermi-Dirac statistics Industrial Chemistry/Chemical Engineering Laser Matter Interaction Materials Science Mathematical analysis Physical Chemistry Physics Physics and Astronomy Short Communications
Online Access:	Get full text
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Summary:	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.
ISSN:	0018-151X 1608-3156
DOI:	10.1134/S0018151X21060109