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Diffusion-controlled aggregation in the continuum approximation
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Ball, Robin, Nauenberg, M. and Witten, T. (Thomas A.) (1984) Diffusion-controlled aggregation in the continuum approximation. Physical Review A (General Physics), Vol.29 (No.4). pp. 2017-2020. doi:10.1103/PhysRevA.29.2017
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Official URL: http://dx.doi.org/10.1103/PhysRevA.29.2017
Abstract
A numerical solution and analytic approximation are obtained for the mean-field continuum equations corresponding to diffusion-controlled aggregation. For d>2 an asymptotic solution is found with the density of the cluster varying as the inverse radius, which suggests a Hausdorff dimension D=d-1.
| 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), Diffusion, Continuum mechanics, Mean field theory | ||||
| Journal or Publication Title: | Physical Review A (General Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 0556-2791 | ||||
| Official Date: | 1984 | ||||
| Dates: |
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| Volume: | Vol.29 | ||||
| Number: | No.4 | ||||
| Page Range: | pp. 2017-2020 | ||||
| DOI: | 10.1103/PhysRevA.29.2017 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Funder: | National Science Foundation (U.S.) (NSF) | ||||
| Grant number: | PHY-77-27084 (NSF) |
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