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Ehrenfest and Ehrenfest-Afanassjewa on Why Boltzmannian and Gibbsian Calculations Agree

Werndl, Charlotte and Frigg, Roman (2021) Ehrenfest and Ehrenfest-Afanassjewa on Why Boltzmannian and Gibbsian Calculations Agree. The Legacy of Tatjana Afanassjewa. Philosophical Insights from the Work of an Original Physicist and Mathematician.

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Abstract

The relation between the Boltzmannian and the Gibbsian formulations of statistical mechanics (SM) is one of the major conceptual issues in the foundations the discipline. In their celebrated review of SM Paul Ehrenfest and Tatjana Ehrenfest-Afanassjewa discuss this issue and offer an argument for the conclusion that Boltzmannian equilibrium values agree with Gibbsian phase averages. In this paper we analyse their argument, which is still important today, and point out that its scope is limited to dilute gases


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Werndl, Charlottecharlotte.werndl@sbg.ac.at
Frigg, Romanr.p.frigg@lse.ac.uk
Keywords: statistical mechanics, Boltzmann, Gibbs, phase average
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Roman Frigg
Date Deposited: 18 Jul 2022 19:51
Last Modified: 18 Jul 2022 19:51
Item ID: 20927
Journal or Publication Title: The Legacy of Tatjana Afanassjewa. Philosophical Insights from the Work of an Original Physicist and Mathematician
Publisher: Springer
Official URL: https://link.springer.com/book/10.1007/978-3-030-4...
DOI or Unique Handle: ISBN: 978-3-030-47971-8
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 2021
URI: https://philsci-archive.pitt.edu/id/eprint/20927

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