Etchant and probabilistic ballistic models of diamond growth

M. Itoh, R. Sahara, M. Takahashi, X. Hu, K. Ohno, Y. Kawazoe

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)148-156
Number of pages9
JournalPhysical Review E
Issue number1
Publication statusPublished - 1996


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