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There are simulations in the recent literature, e.g. P.A. Mulheran and J.A. Blackman, Phil. Mag. 72 (1995) 55; Phys. Rev. B 53 (1996) 10 261; M.C. Bartelt and J.W. Evans (1996, submitted), showing a strong correlation of individual island growth rates with the areas of Voronoi polyhedra around each island, which has long been known from experiment (e.g. J.A. Venables and D.J. Ball, Proc. Roy. Soc. A 322 (1971) 331); but a truly quantitative model based on this observation is rather elusive.
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