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Boltzmann, Gibbs and the Concept of Equilibrium

Lavis, David (2007) Boltzmann, Gibbs and the Concept of Equilibrium. [Preprint]


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The Boltzmann and Gibbs approaches to statistical mechanics have very different definitions of equilibrium and entropy. The problems associated with this are discussed and it is suggested that they can be resolved, to produce a version of statistical mechanics incorporating both approaches, by redefining equilibrium not as a binary property (being/not being in equilibrium) but as a continuous property (degrees of equilibrium) measured by the Boltzmann entropy and by introducing the idea of thermodynamic-like behaviour for the Boltzmann entropy. The Kac ring model is used as an example to test the proposals.

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Item Type: Preprint
Lavis, David
Keywords: Boltzmann, Gibbs, Equilibrium, Entropy
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: David Lavis
Date Deposited: 17 Oct 2007
Last Modified: 07 Oct 2010 15:15
Item ID: 3595

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