Stochastic model for the epitaxial growth of two-dimensional islands in the submonolayer regime

Bernardo Spagnolo, Ekaterina Anashkina, Davide Valenti, Anashkina, Chichigina, Kargovsky, Spagnolo, Valenti

Risultato della ricerca: Articlepeer review

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 originaleEnglish
pagine (da-a)1-21
Numero di pagine21
RivistaJournal of Statistical Mechanics: Theory and Experiment
Volume2016
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.3100.3109???
  • ???subjectarea.asjc.2600.2613???
  • ???subjectarea.asjc.1800.1804???

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