Theory of growth by differential sedimentation, with application to snowflake formation

C. D. Westbrook; R. C. Ball; P. R. Field; A. J. Heymsfield

doi:10.1103/PhysRevE.70.021403

Theory of growth by differential sedimentation, with application to snowflake formation

C. D. Westbrook, R. C. Ball, P. R. Field, A. J. Heymsfield

Dynamical and Physical Meteorology

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	7
Number of pages	1
Journal	Physical Review E
Volume	70
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.70.021403
State	Published - 2004

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10.1103/PhysRevE.70.021403

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title = "Theory of growth by differential sedimentation, with application to snowflake formation",

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.",

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AU - Field, P. R.

AU - Heymsfield, A. J.

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AB - 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.

UR - https://www.scopus.com/pages/publications/85036285253

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DO - 10.1103/PhysRevE.70.021403

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SN - 1063-651X

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JO - Physical Review E

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Theory of growth by differential sedimentation, with application to snowflake formation

Abstract

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