| Автор | P Meakin |
| Автор | I Majid |
| Автор | S Havlin |
| Автор | H E Stanley |
| Дата выпуска | 1984-12-21 |
| dc.description | The detailed topological or 'connectivity' properties of the clusters formed in diffusion limited aggregation (DLA) and cluster-cluster aggregation (CCA) are considered for spatial dimensions d=2, 3 and 4. Specifically, for both aggregation phenomena the authors calculate the fractal dimension d<sub>min</sub>= nu <sup>-1</sup> defined by l approximately R<sup>d(min)</sup> where l is the shortest path between two points separated by a Pythagorean distance R. For CCA, they find that d<sub>min</sub> increases monotonically with d, presumably tending toward a limiting value d<sub>min</sub>=2 at the upper critical dimensionality d<sub>c</sub> as found previously for lattice animals and percolation. For DLA, on the other hand, they find that d<sub>min</sub>=1 within the accuracy of the calculations for d=2, 3 and 4, suggesting the absence of an upper critical dimension. They also discuss some of the subtle features encountered in calculating d<sub>min</sub> for DLA. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Topological properties of diffusion limited aggregation and cluster-cluster aggregation |
| Тип | lett |
| DOI | 10.1088/0305-4470/17/18/008 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 17 |
| Первая страница | L975 |
| Последняя страница | L981 |
| Аффилиация | P Meakin; E.I. Du Pont de Nemours and Co. Inc., Wilmington, DE, USA |
| Аффилиация | I Majid; E.I. Du Pont de Nemours and Co. Inc., Wilmington, DE, USA |
| Аффилиация | S Havlin; E.I. Du Pont de Nemours and Co. Inc., Wilmington, DE, USA |
| Аффилиация | H E Stanley; E.I. Du Pont de Nemours and Co. Inc., Wilmington, DE, USA |
| Выпуск | 18 |
