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20 January 2025
 
  » arxiv » cond-mat/0701338

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Ostwald ripening of faceted two-dimensional islands
V. M. Kaganer ; W. Braun ; K. K. Sabelfeld ;
Date 15 Jan 2007
Subject Other; Statistical Mechanics
AbstractWe study Ostwald ripening of two-dimensional adatom and advacancy islands on a crystal surface by means of kinetic Monte Carlo simulations. At large bond energies the islands are square-shaped, which qualitatively changes the coarsening kinetics. The Gibbs--Thomson chemical potential is violated: the coarsening proceeds through a sequence of `magic’ sizes corresponding to square or rectangular islands. The coarsening becomes attachment-limited, but Wagner’s asymptotic law is reached after a very long transient time. The unusual coarsening kinetics obtained in Monte Carlo simulations are well described by the Becker--D"oring equations of nucleation kinetics. These equations can be applied to a wide range of coarsening problems.
Source arXiv, cond-mat/0701338
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