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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 ISSN 0302-072X.
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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 | ||||
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Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
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Divisions: | Faculty of Science, Engineering and Medicine > 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 |
Data sourced from Thomson Reuters' Web of Knowledge
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