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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 Classical Ideal Gas: configurational Entropy

The Classical Ideal Gas: configurational Entropy

Chapter:
(p.40) 4 The Classical Ideal Gas: configurational Entropy
Source:
An Introduction to Statistical Mechanics and Thermodynamics
Author(s):

Robert H. Swendsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199646944.003.0004

This chapter uses discrete probability theory to calculate the distribution of particles between two subsystems in a composite system. Following Boltzmann's 1877 definition of entropy, this leads to an explicit expression for the configurational contributions to the entropy of the classical ideal gas. A unique feature of this derivation is that it correctly obtains an extensive expression for entropy, even for distinguishable particles.

Keywords:   classical ideal gas, configurational entropy, Boltzmann, distinguishable particles, probability theory

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