Werndl, Charlotte and Frigg, Roman ORCID: 0000-0003-0812-0907 (2023) When does a Boltzmannian equilibrium exist? In: Soto, Cristián, (ed.) Current Debates in Philosophy of Science: In Honor of Roberto Torretti. Synthese Library (477). Springer Nature Switzerland, Cham, Switzerland, 247 – 273. ISBN 9783031323744
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Abstract
We present a definition of equilibrium for Boltzmannian statistical mechanics based on the long-run fraction of time a system spends in a state. We then formulate and prove an existence theorem which provides general criteria for the existence of an equilibrium state. We illustrate how the theorem works with toy example. After a look at the ergodic programme, we discuss equilibria in a number of different gas systems: the ideal gas, the dilute gas, the Kac gas, the stadium gas, the mushroom gas and the multi-mushroom gas.
Item Type: | Book Section |
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Additional Information: | © 2023 Springer Nature Switzerland AG |
Divisions: | Philosophy, Logic and Scientific Method |
Subjects: | B Philosophy. Psychology. Religion > B Philosophy (General) Q Science > QC Physics |
Date Deposited: | 05 Jan 2024 14:54 |
Last Modified: | 22 Nov 2024 02:51 |
URI: | http://eprints.lse.ac.uk/id/eprint/121180 |
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