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Generalized Fermi-Dirac integrals — FD, FDG, FDH

✍ Scribed by L.W. Fullerton; G.A. Rinker

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
454 KB
Volume
39
Category
Article
ISSN
0010-4655

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✦ Synopsis

Generalized Fermi-Dirac integrals are evaluated. These inversity of Belfast, N. Ireland (see application form in this issue) tegrals arise in applications of statistical mechanics to Fermi systems. Computers: Cray-i, X-MP; Installation: Los Alamos National Laboratory Method of solution Chebyschev polynomial representations are provided. Programming language used: Fortran 77 Restriction High speed storage required: 3084 words The argument a can be any positive or negative real number. The indices ~s and v are restricted to certain half-integral No. of bits in a word: 64 values, as discussed in the text. Peripheralrequired: output device for error messages Typical running times Average computation time is approximately 20 s s per evalua-No. of lines in combined program and test deck: 2119 tion on a Cray-i.

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Numerical calculation of the generalized
Numerical calculation of the generalized Fermi-Dirac integrals
✍ Bernard Pichon 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 784 KB

The aim of this paper is to provide the best compromise between accuracy and CPU-time for calculating the generalized Fermi-Dirac integrals. After a brief review of the existing methods, with emphasis on two of them, we present our method valid for all values of the degeneracy parameter and of the t