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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 ISSN 0556-2791.

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Official URL: http://dx.doi.org/10.1103/PhysRevA.29.2017

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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
Divisions: Faculty of Science, Engineering and Medicine > 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:
DateEvent
1984Published
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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