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Ehrenfest and Ehrenfest-Afanassjewa on why Boltzmannian and Gibbsian calculations agree

Werndl, Charlotte and Frigg, Roman ORCID: 0000-0003-0812-0907 (2020) Ehrenfest and Ehrenfest-Afanassjewa on why Boltzmannian and Gibbsian calculations agree. In: Uffink, Jos, Valente, Giovanni, Werndl, Charlotte and Zuchowski, Lena, (eds.) The Legacy of Tatjana Afanassjewa: Philosophical Insights from the Work of an Original Physicist and Mathematician. Women in the History of Philosophy and Sciences. Springer Berlin / Heidelberg, Cham, CH, 85 - 99. ISBN 9783030479701

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Identification Number: 10.1007/978-3-030-47971-8_4


The relation between the Boltzmannian and the Gibbsian formulations of statistical mechanics is one of the major conceptual issues in the foundations of the discipline. In their celebrated review of statistical mechanics, Paul Ehrenfest and Tatiana 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.

Item Type: Book Section
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Additional Information: © 2021 Springer Nature Switzerland AG
Divisions: Philosophy, Logic and Scientific Method
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Q Science > Q Science (General)
Date Deposited: 27 Jul 2022 18:03
Last Modified: 31 May 2024 07:42

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