Accurate Evaluation of Fermi-Dirac Integrals and Their Derivatives for Arbitrary Degeneracy and Relativity

Preprint

25 September 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/9509124

Abstract

The equation of state of an ideal Fermi gas is expressed in terms of Fermi-Dirac integrals. We give formulae for evaluation the Fermi-Dirac integrals of orders 1/2, 3/2, and 5/2 and their derivatives in various limits of non- and extreme degeneracy and relativity. We provide tables and a Fortran subroutine for numerical evaluation of the integrals and derivatives when a limit does not apply. The functions can be evaluated to better than 1% accuracy for any temperature and density using these methods.

Keywords

FERMI DIRAC INTEGRALS
ARBITRARY DEGENERACY
ACCURATE EVALUATION
EVALUATION OF FERMI
DEGENERACY
INTEGRALS

All Related Versions

Version 1, 1995-09-25, ArXiv
Published version: The Astrophysical Journal Supplement Series, 105, 407.

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