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Correction to scaling analysis of diffusion-limited aggregation
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Somfai, Ellák, Ball, R. C., Bowler, Neill E. and Sander, Leonard M. (Leonard Michael). (2003) Correction to scaling analysis of diffusion-limited aggregation. Physica A : Statistical Mechanics and its Applications, Vol.325 (No.1-2). pp. 19-25. ISSN 0378-4371
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Official URL: http://dx.doi.org/10.1016/S0378-4371(03)00178-X
Abstract
Diffusion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scaling. We show this in detail for the case of multiscaling.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Aggregation (Chemistry) -- Mathematical models, Scaling laws (Statistical physics), Diffusion |
| Journal or Publication Title: | Physica A : Statistical Mechanics and its Applications |
| Publisher: | Elsevier Science BV |
| ISSN: | 0378-4371 |
| Date: | 1 July 2003 |
| Volume: | Vol.325 |
| Number: | No.1-2 |
| Number of Pages: | 7 |
| Page Range: | pp. 19-25 |
| Identification Number: | 10.1016/S0378-4371(03)00178-X |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Open Access |
| Funder: | European Commission (EC) |
| Grant number: | HPMFCT-2000-00800 (EC) |
| Title of Event: | International School of Solid State Physics |
| Location of Event: | Sicily, Italy |
| Date(s) of Event: | July 26-August 01, 2002 |
| References: | [1] T. A. Witten, L. M. Sander, Diffusion-limited aggregation, a kinetic critical phenomenon, Phys. Rev. Lett. 47 (1981) 1400–1403. [2] M. Plischke, Z. R´acz, Active zone of growing clusters: Diffusion-limited aggregation and the Eden model, Phys. Rev. Lett. 53 (1984) 415–418. [3] B. Davidovitch, H. G. E. Hentschel, Z. Olami, I. Procaccia, L. M. Sander, E. Somfai, Diffusion limited aggregation and iterated conformal maps, Phys. Rev. E 59 (1999) 1368–1378. [4] B. B. Mandelbrot, B. Kol, A. Aharony, Angular gaps in radial diffusion-limited aggregation: Two fractal dimensions and nontransient deviations from linear self-similarity, Phys. Rev. Lett. 88 (2002) 055501. [5] C. Amitrano, A. Coniglio, P. Meakin, M. Zannetti, Multiscaling in diffusionlimited aggregation, Phys. Rev. B 44 (1991) 4974–4977. [6] P. Meakin, L. M. Sander, Comment on ”Active zone of growing clusters: Diffusion-limited aggregation and the Eden model”, Phys. Rev. Lett. 54 (1985) 2053–2053. [7] R. C. Ball, N. E. Bowler, L. M. Sander, E. Somfai, Off-lattice noise reduction and the ultimate scaling of diffusion-limited aggregation in two dimensions, Phys. Rev. E 66 (2002) 026109. [8] E. Somfai, L. M. Sander, R. C. Ball, Scaling and crossovers in diffusion limited aggregation, Phys. Rev. Lett. 83 (1999) 5523–5526. [9] M. B. Hastings, L. S. Levitov, Laplacian growth as one-dimensional turbulence, Physica D 116 (1998) 244–252. [10] A. Coniglio, M. Zannetti, Novel dynamical scaling in kinetic growth phenomena, Physica A 163 (1990) 325–333. [11] J. Lee, S. Schwarzer, A. Coniglio, H. E. Stanley, Localization of growth sites in diffusion-limited-aggregation clusters: Multifractality and multiscaling, Phys. Rev. E 48 (1993) 1305–1315. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9561 |
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