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

Research output not available from this repository, contact author.

Request Changes to record.

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{d–D}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
Subjects:	Q Science > QC Physics Q Science > QD Chemistry
Divisions:	Faculty of 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:	Date Event 1984 Published
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

Request changes or add full text files to a record

Repository staff actions (login required)

View Item