Abstract
Ballistic models of diamond growth in two-dimensional space are studied in detail. A probabilistic model is introduced to simplify and reduce computation, and is successfully compared with the etchant model, which was proposed recently by Capraro and Bar-Yam [Comput. Mater. Sci. 1, 169 (1993)]. The growth process is shown to be divided into three distinct stages, and the limit of the expected thickness of the diamond film is indicated. The relation between the incident angle and growth direction is discussed. Analytic equations for the density of the resulting pattern are given, and a scaling analysis is performed.
| Original language | English |
|---|---|
| Pages (from-to) | 148-156 |
| Number of pages | 9 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1996 Jan 1 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)