The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Invasion percolation: a new form of percolation theory
Open accessAbstract
A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path at least resistance. The name invasion percolation is proposed for this new process. Similarities to, and differences from, ordinary percolation theory are discussed.
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
Phase Transitions and Critical Phenomena
(2016) · Statistical and Thermal Physics · doi:10.1201/9781439850541-13 · Cited by 11,176
Introduction to Phase Transitions and Critical Phenomena
Stanley, H. E., & Ahlers, G. (1973) · Physics Today · doi:10.1063/1.3127900 · Cited by 3,629
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
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
Essam, J. W. (1980) · Reports on Progress in Physics · doi:10.1088/0034-4885/43/7/001 · Cited by 1,018
Capillary displacement and percolation in porous media
Chandler, R., Koplik, J., Lerman, K., & Willemsen, J. F. (1982) · Journal of Fluid Mechanics · doi:10.1017/s0022112082001335 · Cited by 485
Self-citationPercolation Processes and Related Topics
Frisch, H. L., & Hammersley, J. M. (1963) · Journal of the Society for Industrial and Applied Mathematics · doi:10.1137/0111066 · Cited by 266
Displacement of residual nonwetting fluid from porous media
Larson, R. G., Davis, H. T., & Scriven, L. E. (1981) · Chemical Engineering Science · doi:10.1016/0009-2509(81)80049-8 · Cited by 166
Effects of sample size on capillary pressures in porous media
Larson, R. G., & Morrow, N. R. (1981) · Powder Technology · doi:10.1016/0032-5910(81)80005-8 · Cited by 139
Cited by
Statistical physics of social dynamics
Castellano, C., Fortunato, S., & Loreto, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.591 · Cited by 4,119
Halpin-Healy, T., & Zhang, Y.-C. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00087-j · Cited by 1,443
Colloidal Processing of Ceramics
Lewis, J. A. (2000) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.2000.tb01560.x · Cited by 1,371
Sahimi, M. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.1393 · Cited by 1,082
Bultreys, T., De Boever, W., & Cnudde, V. (2016) · Earth-Science Reviews · doi:10.1016/j.earscirev.2016.02.001 · Cited by 474
Metadata
- Authors
- Wilkinson, D., & Willemsen, J. F.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1983-10-01
- Volume
- 16
- Issue
- 14
- Pages
- 3365-3376
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2063081081
- Cited by
- 1,450
- References
- 9
- FWCI
- 21.44
- 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: Invasion percolation: a new form of percolation theory. https://app.cochat.ai/papers/10.1088/0305-4470/16/14/028
- The paper
- Wilkinson, D., & Willemsen, J. F. (1983). Invasion percolation: a new form of percolation theory. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/16/14/028
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.
