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The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics

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The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics. / Lavis, David A.

In: Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, Vol. 67, 01.08.2019, p. 26-63.

Research output: Contribution to journalArticlepeer-review

Harvard

Lavis, DA 2019, 'The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics', Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, vol. 67, pp. 26-63. https://doi.org/10.1016/j.shpsb.2019.02.002

APA

Lavis, D. A. (2019). The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 67, 26-63. https://doi.org/10.1016/j.shpsb.2019.02.002

Vancouver

Lavis DA. The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 2019 Aug 1;67:26-63. https://doi.org/10.1016/j.shpsb.2019.02.002

Author

Lavis, David A. / The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics. In: Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 2019 ; Vol. 67. pp. 26-63.

Bibtex Download

@article{5be47bb4d3094041aac96fae3898a32a,
title = "The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics",
abstract = "We show that both positive and negative absolute temperatures and monotonically increasing and decreasing entropy in adiabatic processes are consistent with Carath{\'e}odory's version of the second law and we explore the modifications of the Kelvin--Planck and Clausius versions which are needed to accommodate these possibilities.We show, in part by using the equivalence of distributions and the canonical distribution, that the correct microcanonical entropy, is the surface (Boltzmann) form rather than the bulk (Gibbs) form thereby providing for the possibility of negative temperatures and we counter the contention on the part of a number of authors that the surface entropy fails to satisfy fundamental thermodynamic relationships.",
keywords = "Microcanonical entropy, Negative temperatures, The Carath{\'e}odory, Kelvin–Planck and Clausius versions of the second law",
author = "Lavis, {David A.}",
year = "2019",
month = aug,
day = "1",
doi = "10.1016/j.shpsb.2019.02.002",
language = "English",
volume = "67",
pages = "26--63",
journal = "Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics",
issn = "1355-2198",
publisher = "Elsevier Ltd",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - The Question of Negative Temperatures in Thermodynamics and Statistical Mechanics

AU - Lavis, David A.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - We show that both positive and negative absolute temperatures and monotonically increasing and decreasing entropy in adiabatic processes are consistent with Carathéodory's version of the second law and we explore the modifications of the Kelvin--Planck and Clausius versions which are needed to accommodate these possibilities.We show, in part by using the equivalence of distributions and the canonical distribution, that the correct microcanonical entropy, is the surface (Boltzmann) form rather than the bulk (Gibbs) form thereby providing for the possibility of negative temperatures and we counter the contention on the part of a number of authors that the surface entropy fails to satisfy fundamental thermodynamic relationships.

AB - We show that both positive and negative absolute temperatures and monotonically increasing and decreasing entropy in adiabatic processes are consistent with Carathéodory's version of the second law and we explore the modifications of the Kelvin--Planck and Clausius versions which are needed to accommodate these possibilities.We show, in part by using the equivalence of distributions and the canonical distribution, that the correct microcanonical entropy, is the surface (Boltzmann) form rather than the bulk (Gibbs) form thereby providing for the possibility of negative temperatures and we counter the contention on the part of a number of authors that the surface entropy fails to satisfy fundamental thermodynamic relationships.

KW - Microcanonical entropy

KW - Negative temperatures

KW - The Carathéodory, Kelvin–Planck and Clausius versions of the second law

UR - http://www.scopus.com/inward/record.url?scp=85065517662&partnerID=8YFLogxK

U2 - 10.1016/j.shpsb.2019.02.002

DO - 10.1016/j.shpsb.2019.02.002

M3 - Article

VL - 67

SP - 26

EP - 63

JO - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics

JF - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics

SN - 1355-2198

ER -

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