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Theory of growth by differential sedimentation, with application to snowflake formation
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Westbrook, C. D., Ball, Robin, Field, P. R. and Heymsfield, Andrew J. (2004) Theory of growth by differential sedimentation, with application to snowflake formation. Physical Review E, Vol.70 (No.2). doi:10.1103/PhysRevE.70.021403 ISSN 1063-651X.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.70.021403
Abstract
A simple model of irreversible aggregation under differential sedimentation of particles in a fluid is presented. The structure of the aggregates produced by this process is found to feed back on the dynamics in such a way as to stabilize both the exponents controlling the growth rate, and the fractal dimension of the clusters produced at readily predictable values. The aggregation of ice crystals to form snowflakes is considered as a potential application of the model.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Aggregation (Chemistry) -- Mathematical models, Snowflakes -- Mathematical models | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1063-651X | ||||
Official Date: | 25 August 2004 | ||||
Dates: |
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Volume: | Vol.70 | ||||
Number: | No.2 | ||||
Number of Pages: | 7 | ||||
DOI: | 10.1103/PhysRevE.70.021403 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 4 December 2015 | ||||
Date of first compliant Open Access: | 4 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Great Britain. Meteorological Office |
Data sourced from Thomson Reuters' Web of Knowledge
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