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Off-lattice noise reduction and the ultimate scaling of diffusion-limited aggregation in two dimensions
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Ball, R. C., Bowler, Neill E., Sander, Leonard M. (Leonard Michael) and Somfai, Ellák. (2002) Off-lattice noise reduction and the ultimate scaling of diffusion-limited aggregation in two dimensions. Physical Review E, Vol.66 (No.2). ISSN 1063-651X
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Official URL: http://dx.doi.org/10.1103/PhysRevE.66.026109
Abstract
Off-lattice diffusion-limited aggregation (DLA) clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation exhibit a dominant slowest correction to scaling, and this also accounts for the apparent "multiscaling" in the DLA mass distribution. We interpret the correction to scaling in terms of renormalized noise. The limiting value of this variable is strikingly small and is dominated by fluctuations in cluster shape. Earlier claims of anomalous scaling in DLA were misled by the slow approach to this small fixed point value.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Aggregation (Chemistry) -- Mathematical models, Diffusion, Scaling laws (Statistical physics) |
| Journal or Publication Title: | Physical Review E |
| Publisher: | American Physical Society |
| ISSN: | 1063-651X |
| Date: | 19 August 2002 |
| Volume: | Vol.66 |
| Number: | No.2 |
| Number of Pages: | 6 |
| Identification Number: | 10.1103/PhysRevE.66.026109 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Open Access |
| Funder: | BP Amoco, Engineering and Physical Sciences Research Council (EPSRC), Stichting voor Fundamenteel Onderzoek der Materie (FOM) [Foundation for Fundamental Research on Matter], European Union (EU) |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/10578 |
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