Boltzmann, Gibbs, and the concept of equilibrium

Philosophy of Science 75 (5):682-696 (2008)
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 but as a continuous property 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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DOI 10.1086/594514
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Jill North (2010). An Empirical Approach to Symmetry and Probability. Studies in History and Philosophy of Science Part B 41 (1):27-40.
Charlotte Werndl & Roman Frigg (2015). Reconceptualising Equilibrium in Boltzmannian Statistical Mechanics and Characterising its Existence. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:19-31.

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