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.
Lingua originale | English |
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pagine (da-a) | 1-21 |
Numero di pagine | 21 |
Rivista | Journal of Statistical Mechanics: Theory and Experiment |
Volume | 2016 |
Stato di pubblicazione | Published - 2016 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.3100.3109???
- ???subjectarea.asjc.2600.2613???
- ???subjectarea.asjc.1800.1804???