Ball, R. C., Weitz, D. A. , Witten, T. (Thomas A.) and Leyvraz, F.. (1987) Universal kinetics in reaction-limited aggregation. Physical Review Letters, Vol.58 (No.3). pp. 274-277. ISSN 0031-9007

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Abstract

Reaction-limited cluster aggregation is modeled with the kinetic rate (Smoluchowski) equations, using a kernel determined intrinsically by the clusters fractal geometry. The kernel scales with cluster mass as M1M2λ-1 (M1≫M2), and M1λ (M1≊M2), with λ=1 in three dimensions, resulting in exponential kinetics and a cluster mass distribution CM∼M-τ, with τ=(3/2), in excellent accord with experiments. The singular nature of this solution forces the adjustment of the cluster fractal dimension, df, thereby determining its value.

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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), Kinetic theory of matter
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Date:	1987
Volume:	Vol.58
Number:	No.3
Page Range:	pp. 274-277
Identification Number:	10.1103/PhysRevLett.58.274
Status:	Peer Reviewed
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/39418

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