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Partitions and the Fermi–Dirac Distribution

✍ Scribed by Jean-Marie Boé; Fabrice Philippe

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
174 KB
Volume
92
Category
Article
ISSN
0097-3165

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✦ Synopsis

The exact electron distribution in certain small isolated systems is derived from the enumeration of the partitions of integers. The corresponding generating series are ascribed a physical interpretation. The well-known Fermi Dirac statistics is recovered by averaging.

📜 SIMILAR VOLUMES

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