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Study on side-branching structure of dynamical pattern formation in diffusion field.

Research Project

Project/Area Number 13640388
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 物性一般(含基礎論)
Research InstitutionKyushu University

Principal Investigator

HONJO Haruo  Kyushu University, Interdisciplinary Graduate School of Engineering Sciences, Professor, 大学院・総合理工学研究院, 教授 (00181545)

Co-Investigator(Kenkyū-buntansha) SAKAGUCHI Hidetsugu  Kyushu University, Interdisciplinary Graduate School of Engineering Sciences Assistant Professor, 大学院・総合理工学研究院, 助教授 (90192591)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥2,800,000 (Direct Cost: ¥2,800,000)
Keywordspattern formation / dendrite / dense-branching morphology / diffusion-limited aggregation / non-linear physics / non-equilibrium phenomena / self-organization / crystal growth / フラクタル / 非線系物理 / 非平衡系統計物理 / パターン形成
Research Abstract

1. We have performed simulation of two-dimensional diffusion-limited aggregation (DLA) and found a new formulation between the fractal dimension and Eucledian dimension. The formulation is obtained by making continuous DLA discrete and referring similarity dimension. Some formulations are proposed, however, our formulation is more precise than those. We are performing the simulation in higher Eucledian dimensions and are going to generalize the formulation.
2. We have performed simulation of dendrite, dense-branching morphology and DLA with a coupled map lattice model. We have found the relation between those patterns and the anisotropy of surface tension, the anisotropy of surface kinetics and the influence of surface noise. We have also made the physical mechanism of transition of the patterns clear and found doublon pattern in dense-branching morphology region which grow with a pair of asymmetric dendrite and can grow faster than dendrite.
3. We have performed the experiment of viscous fingering with Hele-Shaw cell and studied the global envelope of dendrite. We have found that there exist three regions in the envelope ; premature side-branches, competing side-branches and independent side-branches. We have found an interesting result that the competing side-branches which cease other side-branches can grow faster than the tip of the stem. We conjecture that the competing side-branches grow as doublons.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] M.Ohtaki: "A coupled map lattice model for dendrite in diffusion field"Journal of Crystal Growth. 237. 159-163 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Miyagawa: "Contraction rate of diffusion-limited aggregation"Journal of Crystal Growth. 240. 287-291 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki: "Morphology transition in diffusion field"Proceedings of Dynamics Days Asia-Pacific Second International Conference on Nonlinear Sciences. 41-41 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki: "Morphology transition in diffusion field"Proceedings of The 4^<th> Cross Straits Symposium on Naterials, Energy and Environmental Sciences. 98-99 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Katsuragi: "Asymptotic function for multigrowth surfaces using power-law noise"Physical Review E. 67. 011601-1-011601-4 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki, H.Honjo and H.Sakaguchi: "A coupled map lattice model for dendrite in diffusion field"Journal of Crystal Growth. 237. 159-163 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Miyagawa, H.Honjo and H.Katsuragi: "Contraction rate of diffusion-limited aggregation"Journal of Crystal Growth. 240. 287-291 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki, H.Honjo and H.Sakaguchi: "Morphology transition in diffusion field"Proceedings of Dynamics Days Asia-Pasific Second International Conference on Nonlinear Science. 41. 41 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki, H.Honjo and H.Sakaguchi: "Morphology transition in diffusion field"Proceedings of The 4^<th> Cross Straits Symposium on Materials, Energy and Enviromental Science. 98-99 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H.Katsuragi and H.Honjo: "Asymptotic function for multigrowth surfaces using power-law noise"Physical Review E. 67. 011601-1-011601-4 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Ohtaki: "A coupled map lattice model for dendrite in diffusion field"Journal of Crystal Growth. 237. 159-163 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Miyagawa: "Contraction rate of diffusion-limited aggregation"Journal of Crystal Growth. 240. 287-291 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Ohtaki: "Morphology transition in diffusion field"Proceedings of Dynamics Days Asia-Pacific Second International Conference on Nonlinear Sciences. 41-41 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Ohtaki: "Morphology transition in diffusion field"Proceedings of The 4^<th> Cross Straits Symposium on Materials, Energy and Environmental Sciences. 98-99 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Katsuragi: "Asymptotic function for multigrowth surfaces using power-law noise"Physical Review E. 67. 011601-1-011601-4 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Ohtaki, H.Honjo, H.Sakaguchi: "A coupled map lattice model for dendrite in diffusion field"Journal of Crystal Growth. (in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Miyagawa, H.Honjo, H.Katsuragi: "Contraction rate of diffusion-limited aggregation"Journal of Crystal Growth. (in press). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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