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Universal kinetics in reaction-limited aggregation

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Ball, Robin, 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. doi:10.1103/PhysRevLett.58.274

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.58.274

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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.

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
Official Date: 1987
Dates:
DateEvent
1987Published
Volume: Vol.58
Number: No.3
Page Range: pp. 274-277
DOI: 10.1103/PhysRevLett.58.274
Status: Peer Reviewed
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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