The DOI matches its Crossref record.
Statistical mechanics with topological constraints: I
Open accessAbstract
The entropy of very long flexible molecules in the presence of topological constraints is studied, and a formula deduced which needs the probability that a random walk will have a particular topological specification. Examples are solved, including a plane random walk sweeping out a given angle around a point in the plane which is generalized to three dimensions including the passage of a random walk past many lines in space, and the probability that a random walk will penetrate through or become multiply entangled with a closed ring.
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
Cited by
Rheology and microscopic topology of entangled polymeric liquids
Everaers, R., Sukumaran, S. K., Grest, G. S., Svaneborg, C., Sivasubramanian, A., & Kremer, K. (2004) · Science · doi:10.1126/science.1091215 · Cited by 832
The statistical mechanics of polymerized material
Edwards, S. F. (1967) · Proceedings of the Physical Society · doi:10.1088/0370-1328/92/1/303 · Cited by 578
Self-citationThe tube model theory of rubber elasticity
Edwards, S. F., & Vilgis, T. A. (1988) · Reports on Progress in Physics · doi:10.1088/0034-4885/51/2/003 · Cited by 384
Self-citationThe theory of rubber elasticity
Deam, R. T., & Edwards, S. F. (1976) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1976.0001 · Cited by 324
Self-citationCrossover from Rouse to Reptation Dynamics: A Molecular-Dynamics Simulation
Kremer, K., Grest, G. S., & Carmesin, I. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.566 · Cited by 288
Metadata
- Authors
- Edwards, S. F.
- Venue
- Proceedings of the Physical Society
- Publisher
- IOP Publishing
- Published
- 1967-07
- Volume
- 91
- Issue
- 3
- Pages
- 513-519
- ISSN
- 0370-1328 (ISSN-L)
- OpenAlex
- W2015031142
- Cited by
- 454
- References
- 0
- FWCI
- 2.01
- 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: Statistical mechanics with topological constraints: I. https://app.cochat.ai/papers/10.1088/0370-1328/91/3/301
- The paper
- Edwards, S. F. (1967). Statistical mechanics with topological constraints: I. Proceedings of the Physical Society. https://doi.org/10.1088/0370-1328/91/3/301
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.
