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Diffusion-limited aggregation
Abstract
Diffusion-limited aggregation (DLA) is an idealization of the process by which matter irreversibly combines to form dust, soot, dendrites, and other random objects in the case where the rate-limiting step is diffusion of matter to the aggregate. We study the process from several points of view stressing the fact that it apparently gives rise to scale-invariant objects whose Hausdorff dimension is independent of short-range details. We show that DLA has no upper critical dimension. We apply scale invariance to study growth, gelation, and the structure factor of aggregates.
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Citations
Cited by
Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation
Meakin, P. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1119 · Cited by 1,639
Ji, Q., Zhang, Y., Shi, J., Sun, J., Zhang, Y., & Liu, Z. (2016) · Advanced Materials · doi:10.1002/adma.201504762 · Cited by 73
Metadata
- Authors
- Witten, T. A., & Sander, L. M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1983-05-01
- Volume
- 27
- Issue
- 9
- Pages
- 5686-5697
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2029849672
- Cited by
- 1,856
- References
- 0
- FWCI
- 40.39
- Type
- journal article
- Language
- en
- Open access
- closed
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- Witten, T. A., & Sander, L. M. (1983). Diffusion-limited aggregation. Physical Review B. https://doi.org/10.1103/physrevb.27.5686
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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.
