Cookies?
Library Header Image
LSE Research Online LSE Library Services

Mind the gap: Boltzmannian versus Gibbsian equilibrium

Werndl, Charlotte and Frigg, Roman (2017) Mind the gap: Boltzmannian versus Gibbsian equilibrium. Philosophy of Science, 84 (5). pp. 1289-1302. ISSN 0031-8248

[img] Text - Accepted Version
Restricted to Repository staff only until 1 December 2018.

Download (123kB) | Request a copy

Identification Number: 10.1086/694088

Abstract

There are two main theoretical frameworks in statistical mechanics, one associated with Boltzmann and the other with Gibbs. Despite their well-known differences, there is a prevailing view that equilibrium values calculated in both frameworks coincide. We show that this is wrong. There are important cases where the Boltzmannian and Gibbsian equilibrium concepts yield different outcomes. Furthermore, the conditions under which equilibria exists are different for Gibbsian and Boltzmannian statistical mechanics. There are, however, special circumstances under which it is true that the equilibrium values coincide. We prove a new theorem providing sufficient conditions for this to be the case.

Item Type: Article
Official URL: http://journal.philsci.org/
Additional Information: © 2017 Philosophy of Science Association
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 13 Jul 2017 09:11
Last Modified: 18 Jan 2018 13:00
URI: http://eprints.lse.ac.uk/id/eprint/83497

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics