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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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    Abstract

    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
    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 11:15
    Item ID: 3595
    URI: http://philsci-archive.pitt.edu/id/eprint/3595

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