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Site-Bond Correlated-Percolation Problem: A Statistical Mechanical Model of Polymer Gelation
Abstract
A new model for polymer gelation is presented that predicts new effects that can not be derived from the conventional theory of Flory and Stockmayer. An exact solution is obtained for the Bethe lattice, and is related to recent experimental results of Tanaka. Under certain conditions, the gelation curve terminates at the consolute point; at this point, both connectivity and concentration fluctuations are critical, just as in the random magnet at the percolation threshold.
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Citations
Cited by
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
Recent advances in percolation theory and its applications
Saberi, A. A. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.03.003 · Cited by 438
Metadata
- Authors
- Coniglio, A., Stanley, H. E., & Klein, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-02-19
- Volume
- 42
- Issue
- 8
- Pages
- 518-522
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2019701019
- Cited by
- 330
- References
- 0
- FWCI
- 15.82
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Site-Bond Correlated-Percolation Problem: A Statistical Mechanical Model of Polymer Gelation. https://app.cochat.ai/papers/10.1103/physrevlett.42.518
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- Coniglio, A., Stanley, H. E., & Klein, W. (1979). Site-Bond Correlated-Percolation Problem: A Statistical Mechanical Model of Polymer Gelation. Physical Review Letters. https://doi.org/10.1103/physrevlett.42.518
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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.
