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Scaling of Kinetically Growing Clusters
Abstract
A model describing the process of cluster growth by aggregation of clusters is introduced and investigated with the Monte Carlo method. It is found that the clusters are scale invariant. The fractal dimension of this new class of kinetic critical behavior is $D={\ensuremath{\nu}}^{\ensuremath{-}1}=1.38\ifmmode\pm\else\textpm\fi{}0.06$ in $d=2$ dimensions as determined by the radii of gyration and the density correlations of the aggregates. The process is compared with other types of kinetic and equilibrium critical phenomena.
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Citations
Cited by
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Fractal Structures Formed by Kinetic Aggregation of Aqueous Gold Colloids
Weitz, D. A., & Oliveria, M. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1433 · Cited by 913
Dynamic Scaling for Aggregation of Clusters
Vicsek, T., & Family, F. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1669 · Cited by 579
The kinetics of cluster fragmentation and depolymerisation
Ziff, R. M., & McGrady, E. D. (1985) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/18/15/026 · Cited by 397
Enhanced Raman scattering by fractal clusters: Scale-invariant theory
Stockman, M. I., Shalaev, V. M., Moskovits, M., Botet, R., & George, T. F. (1992) · Physical Review B · doi:10.1103/physrevb.46.2821 · Cited by 272
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Metadata
- Authors
- Kolb, M., Botet, R., & Jullien, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-09-26
- Volume
- 51
- Issue
- 13
- Pages
- 1123-1126
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1970078569
- Cited by
- 1,061
- References
- 0
- FWCI
- 32.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kolb, M., Botet, R., & Jullien, R. (1983). Scaling of Kinetically Growing Clusters. Physical Review Letters. https://doi.org/10.1103/physrevlett.51.1123
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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