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Finite size effects in cluster-cluster aggregation
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Ball, Robin and Jullien, R. (1984) Finite size effects in cluster-cluster aggregation. Journal de Physique Lettres, Vol.45 (No.21). pp. 1031-1035. doi:10.1051/jphyslet:0198400450210103100
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Official URL: http://dx.doi.org/10.1051/jphyslet:019840045021010...
Abstract
A finite size estimate is proposed for the fractal dimension of clusters obtained through hierarchical kinetic cluster-cluster aggregation. This estimate is shown to be exactly size-independent for d = 1 and above the upper critical dimension dc. For 1 < d < dc, it varies only weakly with size, leading to better values for the extrapolated fractal dimension, as shown by numerical results on Brownian and linear trajectories for 2 ≤ d ≤ 5.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
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| Divisions: | Faculty of Science > Physics | ||||
| Library of Congress Subject Headings (LCSH): | Aggregation (Chemistry), Critical phenomena (Physics), Fractals, Finite size scaling (Statistical physics) | ||||
| Journal or Publication Title: | Journal de Physique Lettres | ||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||
| ISSN: | 0302-072X | ||||
| Official Date: | 1984 | ||||
| Dates: |
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| Volume: | Vol.45 | ||||
| Number: | No.21 | ||||
| Page Range: | pp. 1031-1035 | ||||
| DOI: | 10.1051/jphyslet:0198400450210103100 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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