Volume 65, Number 3, February 2004
|Page(s)||379 - 385|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 January 2004|
The dynamics of island nucleation and growth —beyond mean-field theory
Department of Physics, University of Reading Whiteknights, Reading RG6 6AF, UK
Accepted: 26 November 2003
Fully deterministic calculations of the dynamics of island nucleation and growth during thin-film deposition are presented, using a capture zone model that transcends the classical mean-field approximation. Nucleation rates for various critical island sizes , 1, 2 are accurately calculated from the time-dependent monomer density within the capture zones. The deterministic evolution of the Joint Probability Distribution (JPD) of island and capture zone size is then calculated. The JPDs are found to converge rapidly to approximately scale-invariant forms that are in excellent agreement with Monte Carlo simulation data.
PACS: 68.55.Jk – Structure and morphology; thickness; crystalline orientation and texture / 81.15.Hi – Molecular, atomic, ion, and chemical beam epitaxy / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2004
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