Abstract
In this paper, we present a detailed exposition of the functional form of capture numbers that we found using an extended-island model. Our results suggest that the assumption for all s is only valid up to a time that scales like After this time, a better approximation is correction and we show that in the limit We link the functional form to the amount of nucleation of new islands on the surface and explain the differences between what is obtained with our extended-island model to what is obtained with a point-island model. Finally, we use our results to derive scaling laws for the adatom and total number densities. We found that the scaling in R remains unchanged, but that the time evolution is influenced by the functional form of the capture numbers.
- Received 15 April 2002
DOI:https://doi.org/10.1103/PhysRevB.67.155403
©2003 American Physical Society