On the Statistical Viewpoint Concerning the Second Law of Thermodynamics: A Reminder on the Ehrenfests’ Urn Model

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschung

Autoren

  • Domenico Giulini

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Details

OriginalspracheEnglisch
Titel des SammelwerksFrom Quantum to Classical
UntertitelEssays in Honour of H.-Dieter Zeh
Herausgeber/-innenClaus Kiefer
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten225-242
Seitenumfang18
ISBN (elektronisch)978-3-030-88781-0
ISBN (Print)978-3-030-88780-3
PublikationsstatusVeröffentlicht - März 2022

Publikationsreihe

NameFundamental Theories of Physics
Band204
ISSN (Print)0168-1222
ISSN (elektronisch)2365-6425

Abstract

In statistical thermodynamics the 2nd law is properly spelled out in terms of conditioned probabilities. As such it makes the statement that “entropy increases with time” without preferring a time direction. In this paper we wish to explain and illustrate this statement in terms of the Ehrenfests’ urn model in a way that hopefully adds some clarifying aspects concerning the role of time-conditioned probabilities. We will relate past- and future-conditioned probabilities through Bayes’ rule, which allows us to explicitly state what is meant by time-reversal invariance in this context.

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On the Statistical Viewpoint Concerning the Second Law of Thermodynamics: A Reminder on the Ehrenfests’ Urn Model. / Giulini, Domenico.
From Quantum to Classical: Essays in Honour of H.-Dieter Zeh. Hrsg. / Claus Kiefer. Springer Science and Business Media Deutschland GmbH, 2022. S. 225-242 (Fundamental Theories of Physics; Band 204).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschung

Giulini, D 2022, On the Statistical Viewpoint Concerning the Second Law of Thermodynamics: A Reminder on the Ehrenfests’ Urn Model. in C Kiefer (Hrsg.), From Quantum to Classical: Essays in Honour of H.-Dieter Zeh. Fundamental Theories of Physics, Bd. 204, Springer Science and Business Media Deutschland GmbH, S. 225-242. https://doi.org/10.48550/arXiv.physics/0509220, https://doi.org/10.1007/978-3-030-88781-0_11
Giulini, D. (2022). On the Statistical Viewpoint Concerning the Second Law of Thermodynamics: A Reminder on the Ehrenfests’ Urn Model. In C. Kiefer (Hrsg.), From Quantum to Classical: Essays in Honour of H.-Dieter Zeh (S. 225-242). (Fundamental Theories of Physics; Band 204). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.48550/arXiv.physics/0509220, https://doi.org/10.1007/978-3-030-88781-0_11
Giulini D. On the Statistical Viewpoint Concerning the Second Law of Thermodynamics: A Reminder on the Ehrenfests’ Urn Model. in Kiefer C, Hrsg., From Quantum to Classical: Essays in Honour of H.-Dieter Zeh. Springer Science and Business Media Deutschland GmbH. 2022. S. 225-242. (Fundamental Theories of Physics). doi: 10.48550/arXiv.physics/0509220, 10.1007/978-3-030-88781-0_11
Giulini, Domenico. / On the Statistical Viewpoint Concerning the Second Law of Thermodynamics : A Reminder on the Ehrenfests’ Urn Model. From Quantum to Classical: Essays in Honour of H.-Dieter Zeh. Hrsg. / Claus Kiefer. Springer Science and Business Media Deutschland GmbH, 2022. S. 225-242 (Fundamental Theories of Physics).
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