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A coupled map lattice model for dendritic patterns

Author

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  • Sakaguchi, Hidetsugu
  • Ohtaki, Masako

Abstract

A coupled map lattice model is proposed as a simple simulation model for growth patterns in a diffusion field. The numerical simulation in a one-dimensional coupled map lattice is consistent with the solution of the Stefan problem. Needle-like and dendritic patterns are obtained in two-dimensional coupled map lattices.

Suggested Citation

  • Sakaguchi, Hidetsugu & Ohtaki, Masako, 1999. "A coupled map lattice model for dendritic patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 300-313.
    • Handle: RePEc:eee:phsmap:v:272:y:1999:i:3:p:300-313
    DOI: 10.1016/S0378-4371(99)00273-3
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    Cited by:

    1. Reiter, Clifford A., 2005. "A local cellular model for snow crystal growth," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1111-1119.
    2. Shibkov, A.A. & Golovin, Yu.I. & Zheltov, M.A. & Korolev, A.A. & Leonov, A.A., 2003. "Morphology diagram of nonequilibrium patterns of ice crystals growing in supercooled water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 65-79.
    3. Lu, Qing-Chang & Li, Jing & Xu, Peng-Cheng & Zhang, Lei & Cui, Xin, 2024. "Modeling cascading failures of urban rail transit network based on passenger spatiotemporal heterogeneity," Reliability Engineering and System Safety, Elsevier, vol. 242(C).

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