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An Introduction to Statistical Mechanics and Thermodynamics$
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Robert H. Swendsen

Print publication date: 2012

Print ISBN-13: 9780199646944

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199646944.001.0001

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Fermi–Dirac Statistics

Fermi–Dirac Statistics

(p.336) 28 Fermi–Dirac Statistics
An Introduction to Statistical Mechanics and Thermodynamics

Robert H. Swendsen

Oxford University Press

This chapter examines the consequences of Fermi-Dirac statistics. The Fermi function is described, and the Fermi energy is found as the low-temperature limit of the chemical potential. The Sommerfeld expansion is used to find the low-temperature behaviour of a Fermi gas. Among the consequences of these results is an explanation of why the electronic degrees of freedom do not affect the law of Dulong and Petit.

Keywords:   Fermi-Dirac statistics, Fermi function, Fermi energy, chemical potential, Sommerfeld expansion, Fermi gas, Petit

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