Accurate Evaluation of Fermi-Dirac Integrals and Their Derivatives for Arbitrary Degeneracy and Relativity
Astrophysics
2009-10-28 v1
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.
Cite
@article{arxiv.astro-ph/9509124,
title = {Accurate Evaluation of Fermi-Dirac Integrals and Their Derivatives for Arbitrary Degeneracy and Relativity},
author = {Juan Antonio Miralles and Kenneth A. Van Riper},
journal= {arXiv preprint arXiv:astro-ph/9509124},
year = {2009}
}
Comments
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