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Comparative study of large-scale Laplacian growth patterns

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Date

1995

Authors

Batchelor, M. T.
Henry, B. I.
Roberts, A. P.

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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.

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https://hdl.handle.net/1885/733803842

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ANU Research Publications

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Physical Review E

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Journal article

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DOI

10.1103/PhysRevE.51.807

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