The Prefactor of Fractal Aggregates

✍ Scribed by Christopher M. Sorensen; Gregory C. Roberts

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 138 KB
• Volume: 186
• Category: Article
• ISSN: 0021-9797
• DOI: 10.1006/jcis.1996.4664

✦ Synopsis

k 0 for simulated, three-dimensional, DLCA aggregates The prefactor k 0 of the fractal aggregate scaling relationship which are relevant to aggregates found in nature. This has N Å k 0 (R g /a) D f is determined for both Diffusion Limited and been accomplished, and we report this result, which agrees Diffusion Limited Cluster Aggregation processes in spatial dimenwell with our experimental work (7). However, comparison sions of 2, 3, 4, and 5. For the physically relevant case of DLCA of aggregates simulated by various aggregation algorithms aggregates in three dimensions we find k 0 Å 1.19 { 0.1 when representing different physical situations has led us to de-D f Å 1.82 { 0.04. Comparison of all aggregation types shows that velop the idea that k 0 has more than practical value. As sure the prefactor k 0 displays uniform trends with the fractal dimension as the fractal concept and the quantifiable fractal dimension D f . Attempts to explain these trends are made based on either a are fundamental descriptions of the aggregate morphology, common small N limit for all clusters or the packing of spheres in space. ᭧ 1997 Academic Press so too, we believe, is the prefactor k 0 . Here we present the Key Words: fractal aggregates evidence by which we have developed this belief. We have computer synthesized random aggregates using both the Diffusion Limited Aggregation (DLA) and Diffusion Limited The clusters were generated on an IBM PC 486 personal