dorsal/arxiv
View SchemaA theory of growth by differential sedimentation with application to snowflake formation
| Authors | C. D. Westbrook, R. C. Ball, P. R. Field, A. J. Heymsfield |
|---|---|
| Categories | |
| ArXiv ID | physics/0312057 |
| URL | https://arxiv.org/abs/physics/0312057 |
| DOI | 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 stabilise 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.
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"abstract": "A simple model of irreversible aggregation under differential sedimentation\nof particles in a fluid is presented. The structure of the aggregates produced\nby this process is found to feed back on the dynamics in such a way as to\nstabilise both the exponents controlling the growth rate, and the fractal\ndimension of the clusters produced at readily predictable values. The\naggregation of ice crystals to form snowflakes is considered as a potential\napplication of the model.",
"arxiv_id": "physics/0312057",
"authors": [
"C. D. Westbrook",
"R. C. Ball",
"P. R. Field",
"A. J. Heymsfield"
],
"categories": [
"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.70.021403",
"title": "A theory of growth by differential sedimentation with application to snowflake formation",
"url": "https://arxiv.org/abs/physics/0312057"
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