Computer simulations of cellular pattern growth (domain growth) have been carried out for two- and three-dimensional vertex model. Geometrical properties beyond the edge-number distribution have been studied for a two-dimensional cellular pattern in the scaling regime. The method of simulation is shown in three dimensions and simulation results are presented for the self-similarity of the cellular pattern growth, the growth law and the topological properties. The results are compared with existing simulations and experiments. It is concluded that the three-dimensional vertex models provide us with efficient simulation models of systems with large numbers of cells.
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Nagai et al. (1990) studied this question.
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