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No self-similar aggregates with sedimentation

2004/09/09 by M. Peltomaki, Matti Peltomäki, E. K. O. Hellen +3
Chemistry · Engineering · Environmental Science · Physics and Astronomy · #Coagulation and Flocculation Studies #Electrostatics and Colloid Interactions #Enhanced Oil Recovery Techniques #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2004/09/p09002

published as JSTAT (2004) P09002 · 10 pages, 10 figures

arxiv created 2004/09/09 · openalex publication_date 2004/09/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Two-dimensional cluster–cluster aggregation is studied when clusters move both diffusively and sediment with a size-dependent velocity. Sedimentation breaks the rotational symmetry and the ensuing clusters are not self-similar fractals: the mean cluster width perpendicular to the field direction grows faster than the height. The mean width exhibits power-law scaling with respect to the cluster size, , l x = 0.61 ± 0.01, but the mean height does not. The clusters tend to become elongated in the sedimentation direction and the ratio of the single-particle sedimentation velocity to single-particle diffusivity controls the degree of orientation. These results are obtained using a simulation method, which becomes more efficient the larger the moving clusters are.

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