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Particle aggregation versus cluster aggregation in high dimensions
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Ball, Robin and Witten, T. (Thomas A.) (1984) Particle aggregation versus cluster aggregation in high dimensions. Journal of Statistical Physics, Vol.36 (No.5-6). pp. 873-879. doi:10.1007/BF01012946 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/BF01012946
Abstract
We distinguish two different types of irreversible aggregation-accretion of individual particles and successive aggregation of clusters of comparable size. In aggregation of particles which follow trajectories of fractal dimensionD 1, we show that physical limits on the aggregation rate impose a lower bound on the fractal dimensionD 0 of the aggregate. Ind-dimensional space,D 0{dāD}1 + 1. Thus aggregation of ballistic particles, withD 1 = 1, is not fractal. By contrast, cluster aggregates appear to attain a finite, limitingD 0 in high dimensions. We present a soluble model with this property, and argue that it should agree with Sutherland's binary aggregation model in high dimensions. For this model,D 0 depends continuously on a parameter; the exponent is not universal.
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 | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0022-4715 | ||||
Official Date: | 1984 | ||||
Dates: |
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Volume: | Vol.36 | ||||
Number: | No.5-6 | ||||
Page Range: | pp. 873-879 | ||||
DOI: | 10.1007/BF01012946 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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