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Scaling behavior of two-dimensional domain growth: Computer simulation of vertex models

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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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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Kyushu University 33, 812, Fukuoka, Japan

    Katsuya Nakashima & Kyozi Kawasaki

  2. Department of General Education, Kyushu Kyoritsu University, 807, Kitakyushu, Japan

    Tatsuzo Nagai

Authors
  1. Katsuya Nakashima
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  2. Tatsuzo Nagai
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  3. Kyozi Kawasaki
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Nakashima, K., Nagai, T. & Kawasaki, K. Scaling behavior of two-dimensional domain growth: Computer simulation of vertex models. J Stat Phys 57, 759–787 (1989). https://doi.org/10.1007/BF01022831

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  • DOI: https://doi.org/10.1007/BF01022831

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