Etchant and probabilistic ballistic models of diamond growth

M. Itoh, R. Sahara, M. Takahashi, X. Hu, K. Ohno, Yoshiyuki 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 - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number1
Publication statusPublished - 1996 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)


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