The DOI matches its Crossref record; 60 of the 60 references it cites were found in a registry or an index.
Percolation theory
Open accessAbstract
The theory or percolation models is developed following general ideas in the area of critical phenomena. The review is an exposition of current phase transition theory in a geometrical context. As such, it includes a discussion of scaling relations between critical exponents and their calculation using series expansion methods. Renormalisation group techniques are also considered. The major difference between percolation and other phase transition models is the absence of a Hamiltonian. Instead, the theory is based entirely on probabilistic arguments. A discussion of the connections with classical probability theory is also given.
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Citations
Cites
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
The renormalization group and the ε expansion
Wilson, K. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,179
An introduction to percolation theory
Shante, V. K. S., & Kirkpatrick, S. (1971) · Advances in Physics · doi:10.1080/00018737100101261 · Cited by 2,491
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
Some generalized order-disorder transformations
Potts, R. B. (1952) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100027419 · Cited by 2,122
Percolation processes: I. Crystals and mazes
Broadbent, S. R., & Hammersley, J. M. (1957) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100032680 · Cited by 2,032
Hoshen, J., & Kopelman, R. (1976) · Physical Review B · doi:10.1103/physrevb.14.3438 · Cited by 1,928
Critical Exponents in 3.99 Dimensions
Wilson, K. G., & Fisher, M. E. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.240 · Cited by 1,655
Critical Exponents for the n -Vector Model in Three Dimensions from Field Theory
Guillou, J. C. L., & Zinn‐Justin, J. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.95 · Cited by 1,224
Correlation inequalities on some partially ordered sets
Fortuin, C. M., Kasteleyn, P. W., & Ginibre, J. (1971) · Communications in Mathematical Physics · doi:10.1007/bf01651330 · Cited by 1,096
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
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
Invasion percolation: a new form of percolation theory
Wilkinson, D., & Willemsen, J. F. (1983) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/16/14/028 · Cited by 1,450
Water transport in polymer electrolyte membrane fuel cells
Jiao, K., & Li, X. (2011) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2010.06.002 · Cited by 1,086
Metadata
- Authors
- Essam, J. W.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1980-07-01
- Volume
- 43
- Issue
- 7
- Pages
- 833-912
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W3017310200
- Cited by
- 1,018
- References
- 60
- FWCI
- 32.59
- Type
- journal article
- Language
- en
- Open access
- bronze
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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.
