Comparative study of large-scale Laplacian growth patterns

Batchelor, M. T., , & (1995) Comparative study of large-scale Laplacian growth patterns. Physical Review E, 51(1), pp. 807-810.

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Description

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.

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7 citations in Web of Science®
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ID Code: 235848
Item Type: Contribution to Journal (Journal Article)
Refereed: Yes
ORCID iD:
Henry, B. I.orcid.org/0000-0001-6578-465X
Roberts, A. P.orcid.org/0000-0001-5915-300X
Measurements or Duration: 4 pages
DOI: 10.1103/PhysRevE.51.807
ISSN: 1063-651X
Pure ID: 116893660
Divisions: Current > QUT Faculties and Divisions > Faculty of Science
Current > Schools > School of Biology & Environmental Science
Current > Schools > School of Mathematical Sciences
Copyright Owner: Consult author(s) regarding copyright matters
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Deposited On: 28 Oct 2022 01:42
Last Modified: 03 Mar 2024 19:31