Comparative study of large-scale Laplacian growth patterns

Batchelor, M. T., Henry, B. I. and Roberts, A. P. (1995) Comparative study of large-scale Laplacian growth patterns. Physical Review E, 51 1: 807-810. doi:10.1103/PhysRevE.51.807

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Author Batchelor, M. T.
Henry, B. I.
Roberts, A. P.
Title Comparative study of large-scale Laplacian growth patterns
Journal name Physical Review E   Check publisher's open access policy
ISSN 1063-651X
Publication date 1995-01
Sub-type Article (original research)
DOI 10.1103/PhysRevE.51.807
Open Access Status File (Publisher version)
Volume 51
Issue 1
Start page 807
End page 810
Total pages 4
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
We investigate the scaling of cluster size with mass for our simulations of diffusion-limited aggregation (DLA) clusters and dielectric-breakdown (DB) clusters of 106 particles grown on a square lattice, and DLA clusters of 106 particles grown off lattice. We find that the mass distribution and scaling behavior for the on-lattice DB model are intermediate between those for the on-lattice DLA model and the off-lattice DLA model. We take this as evidence that signatures of lattice anisotropy and the microscopic kinetics of attachment are both manifest at large length scales.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 6 times in Scopus Article | Citations
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Created: Mon, 14 Feb 2011, 12:00:05 EST