The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Foundations of statistical mechanics
Open accessAbstract
Developments in the foundations of statistical mechanics during the past ten years or so. The author discusses how statistical concepts enter the treatment of deterministic mechanical systems, with particular reference to trajectory instabilities and to the KAM theorem. Then he deals with large systems: the thermodynamic limit and the theory of infinite systems. Non-equilibrium statistical mechanics is covered but LC relativistic statistical mechanics is not.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Information theory and statistical mechanics
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.106.620 · Cited by 12,931
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Information Theory and Statistical Mechanics. II
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.108.171 · Cited by 3,253
Theory of Many-Particle Systems. I
Martin, P. C., & Schwinger, J. (1959) · Physical Review · doi:10.1103/physrev.115.1342 · Cited by 1,816
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250
Davies, E. B. (1974) · Communications in Mathematical Physics · doi:10.1007/bf01608389 · Cited by 934
Birkhoff, G. D. (1931) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.17.2.656 · Cited by 867
Completely positive maps and entropy inequalities
Lindblad, G. (1975) · Communications in Mathematical Physics · doi:10.1007/bf01609396 · Cited by 666
Time evolution of large classical systems
Lanford, O. E. (1975) · Lecture Notes in Physics · doi:10.1007/3-540-07171-7_1 · Cited by 557
Bocchieri, P., & Loinger, A. (1957) · Physical Review · doi:10.1103/physrev.107.337 · Cited by 288
Cited by
High-precision test of Landauer’s principle in a feedback trap
Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.190601 · Cited by 428
A toolbox for determining subdiffusive mechanisms
Meroz, Y., & Sokolov, I. M. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.01.002 · Cited by 297
Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
Deffner, S., & Jarzynski, C. (2013) · Physical Review X · doi:10.1103/physrevx.3.041003 · Cited by 231
Metadata
- Authors
- Penrose, O.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1979-12-01
- Volume
- 42
- Issue
- 12
- Pages
- 1937-2006
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W4211085380
- Cited by
- 236
- References
- 12
- FWCI
- 4.75
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Foundations of statistical mechanics. https://app.cochat.ai/papers/10.1088/0034-4885/42/12/002
- The paper
- Penrose, O. (1979). Foundations of statistical mechanics. Reports on Progress in Physics. https://doi.org/10.1088/0034-4885/42/12/002
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.
