6533b7d7fe1ef96bd1267cc1
RESEARCH PRODUCT
Stochastic model for the epitaxial growth of two-dimensional islands in the submonolayer regime
O. A. ChichiginaBernardo SpagnoloBernardo SpagnoloE. I. AnashkinaE. I. AnashkinaDavide ValentiDavide ValentiA.v. Kargovskysubject
Statistics and ProbabilityMaterials scienceCondensed matter physicsStochastic modellingStatistical and Nonlinear Physics02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesdiffusion-limited aggregation (theory)0103 physical sciencesstochastic processes (theory) diffusionStatistics Probability and Uncertaintydendritic growth (theory)010306 general physics0210 nano-technologydendritic growth (theory); diffusion-limited aggregation (theory); stochastic processes (theory) diffusion; Statistics and Probability; Statistical and Nonlinear Physics; Statistics Probability and UncertaintyStatistical and Nonlinear Physicdescription
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.
year | journal | country | edition | language |
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2016-03-22 | Journal of Statistical Mechanics: Theory and Experiment |