Foundations of Physics 47 (4):471-489 (2017)

Authors
Vincent Ardourel
Centre National de la Recherche Scientifique
Abstract
Uffink and Valente claim that there is no time-asymmetric ingredient that, added to the Hamiltonian equations of motion, allows to obtain the Boltzmann equation within the Lanford’s derivation. This paper is a discussion and a reply to that analysis. More specifically, I focus on two mathematical tools used in this derivation, viz. the Boltzmann–Grad limit and the incoming configurations. Although none of them are time-asymmetric ingredients, by themselves, I claim that the use of incoming configurations, as taken within the B–G limit, is such a time-asymmetric ingredient. Accordingly, this leads to reconsider a kind of Stoßzahlansatz within Lanford’s derivation.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2017
ISBN(s)
DOI 10.1007/s10701-017-0072-9
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,172
Through your library

References found in this work BETA

Compendium of the Foundations of Classical Statistical Physics.Jos Uffink - 2005 - In Jeremy Butterfield & John Earman (eds.), Handbook of the Philosophy of Physics. Elsevier.
Physics and Chance.Lawrence Sklar - 1995 - British Journal for the Philosophy of Science 46 (1):145-149.
Boltzmann's H-Theorem, its Discontents, and the Birth of Statistical Mechanics.Harvey R. Brown, Wayne Myrvold & Jos Uffink - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):174-191.

View all 7 references / Add more references

Citations of this work BETA

The Kac Ring or the Art of Making Idealisations.Julie Jebeile - 2020 - Foundations of Physics 50 (10):1152-1170.

Add more citations

Similar books and articles

The Approach Towards Equilibrium in Lanford’s Theorem.Giovanni Valente - 2014 - European Journal for Philosophy of Science 4 (3):309-335.
The Problem of Irreversibility.John Earman - 1986 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:226 - 233.
The Stationary Boltzmann Equation in $\mathbb{R}^N$ with Given Indata.Leif Arkeryd & Anne Nouri - 2002 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 1 (2):359-385.
Rethinking Boltzmannian Equilibrium.Charlotte Werndl & Roman Frigg - 2015 - Philosophy of Science 82 (5):1224-1235.
A Note on Self-Dual Gravitational Fields.Carlos N. Kozameh & Ezra T. Newman - 1985 - Foundations of Physics 15 (4):487-495.

Analytics

Added to PP index
2017-02-17

Total views
17 ( #638,712 of 2,517,866 )

Recent downloads (6 months)
1 ( #409,482 of 2,517,866 )

How can I increase my downloads?

Downloads

My notes