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Cited by 579

The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.

Dynamic Scaling for Aggregation of Clusters

Vicsek, Tamás, Family, Fereydoon·1984·Physical Review Letters
DOI 10.1103/physrevlett.52.1669
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Abstract

The model of cluster growth by diffusion-limited aggregation of clusters is studied in two dimensions and the cluster size distribution ${n}_{s}(t)$ is determined as a function of the cluster size $s$ and the time $t$. A dynamic scaling function of the form ${n}_{s}(t)\ensuremath{\sim}{t}^{\ensuremath{-}w}{s}^{\ensuremath{-}\ensuremath{\tau}}f(\frac{s}{{t}^{z}})$ is proposed and is shown to lead to the scaling relation $w=(2\ensuremath{-}\ensuremath{\tau})z$ among the critical exponents. The simulation results support this scaling law.

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Metadata

Authors
Vicsek, T., & Family, F.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1984-05-07
Volume
52
Issue
19
Pages
1669-1672
ISSN
0031-9007 (ISSN-L)
DOI
10.1103/physrevlett.52.1669
OpenAlex
W2003029750
Cited by
579
References
14
FWCI
12.93
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Dynamic Scaling for Aggregation of Clusters. https://app.cochat.ai/papers/10.1103/physrevlett.52.1669
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Vicsek, T., & Family, F. (1984). Dynamic Scaling for Aggregation of Clusters. Physical Review Letters. https://doi.org/10.1103/physrevlett.52.1669

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.