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Is There a Unique Physical Entropy? Micro versus Macro

Dieks, Dennis (2012) Is There a Unique Physical Entropy? Micro versus Macro. [Preprint]

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    Abstract

    Entropy in thermodynamics is an extensive quantity, whereas standard methods in statistical mechanics give rise to a non-extensive expression for the entropy. This discrepancy is often seen as a sign that basic formulas of statistical mechanics should be revised, either on the basis of quantum mechanics or on the basis of general and fundamental considerations about the (in)distinguishability of particles. In this article we argue against this response. We show that both the extensive thermodynamic and the non-extensive statistical entropy are perfectly alright within their own fields of application. Changes in the statistical formulas that remove the discrepancy must be seen as motivated by pragmatic reasons (conventions) rather than as justified by basic arguments about particle statistics.


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    Item Type: Preprint
    Additional Information: To appear in: New Challenges to the Philosophy of Science (PSE Volume 4), Springer, 2012
    Keywords: entropy, Gibbs paradox, (in)distinguishability
    Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
    Depositing User: Dennis Dieks
    Date Deposited: 05 Sep 2012 15:59
    Last Modified: 05 Sep 2012 15:59
    Item ID: 9309
    URI: http://philsci-archive.pitt.edu/id/eprint/9309

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