# Ostwald ripening of faceted two-dimensional islands

Source: [Ostwald ripening of faceted two-dimensional islands](<https://www.sota2.com/research/paper/68fa37051e209131ce8aee40>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T22:09:32.131Z

Authors: V. M. Kaganer, W. Braun, K. K. Sabelfeld

Published: 2007-01-15T16:26:21.000Z

## Abstract

We 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0701338>)

[PDF](<https://arxiv.org/pdf/cond-mat/0701338.pdf>)