| Автор | M T Batchelor |
| Автор | B I Henry |
| Дата выпуска | 1993-07-21 |
| dc.description | The authors examine the nature of the tunable family of patterns obtained from the discrete eta -DLA model in the deterministic zero-noise limit. The eta -DLA model is a variant of the standard diffusion-limited aggregation (DLA) model in which the DLA growth probabilities are raised to the power eta . The observed morphologies, which range from compact Eden clusters for eta =0 through to sharp needle-like clusters with increasing eta , can be characterized by a sequence of step lengths in a stable staircase structure proceeding back from the tip. Side-branch whiskers, which are found on the triangular lattice but not on the square lattice, occur closer to the tip as eta is increased. Beyond a value eta <sub>c</sub>, whiskers are found immediately behind the tip. They derive the length of the exposed tip as a function of eta using a stationary contour approximation and conformal mapping methods. A theoretical estimate for eta <sub>c</sub> is derived by refining this approach to incorporate the possible shielding of surface sites by aggregate sites. Their theoretical results are in excellent agreement with the numerical results on both lattices. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Tip lengths and whiskering in noise-reduced diffusion-limited aggregation |
| Тип | paper |
| DOI | 10.1088/0305-4470/26/14/010 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 26 |
| Первая страница | 3431 |
| Последняя страница | 3440 |
| Аффилиация | M T Batchelor; Dept. of Math., Australian Nat. Univ., Canberra, ACT, Australia |
| Аффилиация | B I Henry; Dept. of Math., Australian Nat. Univ., Canberra, ACT, Australia |
| Выпуск | 14 |
