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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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The Harmonic Solid

The Harmonic Solid

Chapter:
(p.291) 25 The Harmonic Solid
Source:
An Introduction to Statistical Mechanics and Thermodynamics
Author(s):

Robert H. Swendsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199646944.003.0025

The harmonic solid is a model of vibrations in a crystal. It goes beyond the simpler Einstein model, which was discussed in Chapter 23. The low-temperature behaviour is shown to be extremely similar to that of black-body radiation, which was discussed in Chapter 24. The Debye approximation is introduced, and its advantages and disadvantages are discussed.

Keywords:   crystal, black-body radiation, Einstein model, Debye approximation, vibrations

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