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