The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium” Sitzungberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissen Classe. Abt. II, LXXVI 1877, pp 373-435 (Wien. Ber. 1877, 76:373-435). Reprinted in Wiss. Abhandlungen, Vol. II, reprint 42, p. 164-223, Barth, Leipzig, 1909
Open accessAbstract
Translation of the seminal 1877 paper by Ludwig Boltzmann which for the first time established the probabilistic basis of entropy. Includes a scientific commentary.
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Citations
Cites
Gallavotti, G. (1999) · doi:10.1007/978-3-662-03952-6 · Cited by 647
Boltzmann's Entropy and Time's Arrow
Lebowitz, J. L. (1993) · Physics Today · doi:10.1063/1.881363 · Cited by 571 · cited 1×
“By extension, every complexion can then be assigned an entropy, using the permutability measure of the state distribution to which that complexion belongs [15], opening the door to the statistical mechanics of non-equilibrium states and irreversible processes.”
Background
Metadata
- Authors
- Sharp, K., & Matschinsky, F.
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2015-04-02
- Volume
- 17
- Issue
- 4
- Pages
- 1971-2009
- ISSN
- 1099-4300 (ISSN-L)
- OpenAlex
- W2068262501
- Cited by
- 159
- References
- 2
- FWCI
- 5.99
- Type
- journal article
- Language
- en
- Open access
- gold
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- CoChat. (2026). Citation check: Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium” Sitzungberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissen Classe. Abt. II, LXXVI 1877, pp 373-435 (Wien. Ber. 1877, 76:373-435). Reprinted in Wiss. Abhandlungen, Vol. II, reprint 42, p. 164-223, Barth, Leipzig, 1909. https://app.cochat.ai/papers/10.3390/e17041971
- The paper
- Sharp, K., & Matschinsky, F. (2015). Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium” Sitzungberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissen Classe. Abt. II, LXXVI 1877, pp 373-435 (Wien. Ber. 1877, 76:373-435). Reprinted in Wiss. Abhandlungen, Vol. II, reprint 42, p. 164-223, Barth, Leipzig, 1909. Entropy. https://doi.org/10.3390/e17041971
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
