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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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Thermodynamic Identities

Thermodynamic Identities

Chapter:
(p.138) 14 Thermodynamic Identities
Source:
An Introduction to Statistical Mechanics and Thermodynamics
Author(s):

Robert H. Swendsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199646944.003.0014

Much of the power of thermodynamics is shown by its ability to relate apparently independent properties of thermodynamic systems through mathematical identities between partial derivatives. The simplest identities are Maxwell relations, which can be found easily from the differential forms of fundamental relations. This chapter demonstrates efficient methods for discovering and deriving thermodynamic identities using Jacobians.

Keywords:   partial derivatives, thermodynamic identities, Maxwell relations, Jacobians

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