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On Boltzmann vs. Gibbs and the Equilibrium in Statistical Mechanics

Lazarovici, Dustin (2018) On Boltzmann vs. Gibbs and the Equilibrium in Statistical Mechanics. [Preprint]

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Abstract

In a recent article, Werndl and Frigg discuss the relationship between the Boltzmannian and Gibbsian framework of statistical mechanics, addressing in particular the question when equilibrium values calculated in both frameworks agree. In this paper, I address conceptual confusions that could arise from their discussion, concerning in particular the authors' use of "Boltzmann equilibrium". I also clarify the status of the Khinchin condition for the equivalence of Boltzmannian and Gibbsian, and show that it follows under the assumptions proposed by Werndl and Frigg from standard arguments in probability theory.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Lazarovici, DustinDustin.Lazarovici@unil.ch0000-0002-1484-1172
Keywords: Statistical Mechanics, Equilibrium, Boltzmann, Gibbs
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Dr. Dustin Lazarovici
Date Deposited: 09 Nov 2018 19:10
Last Modified: 09 Nov 2018 19:10
Item ID: 15279
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: February 2018
URI: https://philsci-archive.pitt.edu/id/eprint/15279

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