Scaling behavior of two-dimensional domain growth: Computer simulation of vertex models |
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Authors: | Katsuya Nakashima Tatsuzo Nagai Kyozi Kawasaki |
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Affiliation: | (1) Department of Physics, Faculty of Science, Kyushu University 33, 812 Fukuoka, Japan;(2) Department of General Education, Kyushu Kyoritsu University, 807 Kitakyushu, Japan |
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Abstract: | Computer simulations are performed for vertex models which are coarse-grained models for dynamical cellular patterns in two dimensions. By simulating large systems, we obtain conclusive evidence of scaling behavior, that is, a power law for the growth of the average cell size and the scaling properties for the distribution functions of edge number and size of cells. Several versions of the vertex models are obtained by making some approximations for the equation of motion of a vertex, and we compare the statistical properties of the patterns in the scaling regime. |
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Keywords: | Domain growth cellular pattern scaling behavior vertex model |
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