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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...

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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
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:
DateEvent
1984Published
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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