On Boltzmann vs. Gibbs and the Equilibrium in Statistical Mechanics
History and Philosophy of Physics
2018-11-09 v2 Data Analysis, Statistics and Probability
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.
Keywords
Cite
@article{arxiv.1809.04643,
title = {On Boltzmann vs. Gibbs and the Equilibrium in Statistical Mechanics},
author = {Dustin Lazarovici},
journal= {arXiv preprint arXiv:1809.04643},
year = {2018}
}