Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | From Quantum to Classical |
| Untertitel | Essays in Honour of H.-Dieter Zeh |
| Herausgeber/-innen | Claus Kiefer |
| Herausgeber (Verlag) | Springer Science and Business Media Deutschland GmbH |
| Seiten | 225-242 |
| Seitenumfang | 18 |
| ISBN (elektronisch) | 978-3-030-88781-0 |
| ISBN (Print) | 978-3-030-88780-3 |
| Publikationsstatus | Veröffentlicht - März 2022 |
Publikationsreihe
| Name | Fundamental Theories of Physics |
|---|---|
| Band | 204 |
| 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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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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/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung
}
TY - CHAP
T1 - On the Statistical Viewpoint Concerning the Second Law of Thermodynamics
T2 - A Reminder on the Ehrenfests’ Urn Model
AU - Giulini, Domenico
PY - 2022/3
Y1 - 2022/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85126667271&partnerID=8YFLogxK
U2 - 10.48550/arXiv.physics/0509220
DO - 10.48550/arXiv.physics/0509220
M3 - Contribution to book/anthology
AN - SCOPUS:85126667271
SN - 978-3-030-88780-3
T3 - Fundamental Theories of Physics
SP - 225
EP - 242
BT - From Quantum to Classical
A2 - Kiefer, Claus
PB - Springer Science and Business Media Deutschland GmbH
ER -