Stochastic model for the epitaxial growth of two-dimensional islands in the submonolayer regime
- Authors: Kargovsky, A.; Anashkina, E.; Chichigina, O.; Valenti, D.; Spagnolo, B.
- Publication year: 2016
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/205183
Abstract
The diffusion-based growth of islands composed of clusters of metal atoms on a substrate is considered in the aggregation regime. A stochastic approach is proposed to describe the dynamics of island growth based on a Langevin equation with multiplicative noise. The distribution of island sizes, obtained as a solution of the corresponding Fokker-Planck equation, is derived. The time-dependence of island growth on its fractal dimension is analysed. The effect of mobility of the small islands on the growth of large islands is considered. Numerical simulations are in a good agreement with theoretical results.