Accurate Evaluation of Fermi-Dirac Integrals and Their Derivatives for Arbitrary Degeneracy and Relativity (astro-ph/9509124)

نویسندگان

  • Juan Antonio Miralles
  • Kenneth A. Van Riper
چکیده

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 /2, /2, and /2 and their derivatives in various limits of nonand 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. Subject headings: Equation of State: electrons, Fermi gas

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تاریخ انتشار 1995