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2012 Fiscal Year Final Research Report

Formation and dynamics of branching and hierarchical structures

Research Project

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Project/Area Number 22540393
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyushu University

Principal Investigator

SAKAGUCHI Hidetsugu  九州大学, 大学院・総合理工学研究院, 准教授 (90192591)

Project Period (FY) 2010 – 2012
Keywords統計物理学 / 非線形・非衡物理学 / フラクタル
Research Abstract

We have proposed various mathematical models for branching patterns such as dendrites and the Lichtenberg pattern inthe discharge, and power grids with scale-free structure. We have studied the complex dynamics and the pattern formation in these systems with numerical simulations of the mathematical models.

  • Research Products

    (13 results)

All 2012 2011 2010

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (5 results)

  • [Journal Article] Numerical Simulation of Three Dimensional Dendrites using Coupled Map Lattices2012

    • Author(s)
      H.Sakaguchi, M.Gondou and H.Honjo
    • Journal Title

      Journal of Physical Society of Japan

      Volume: Vol.81,artno.124004

    • Peer Reviewed
  • [Journal Article] Cascade Failure in a Phase Model of Power Grids2012

    • Author(s)
      H.Sakaguchiand T.Matsuo
    • Journal Title

      Journal of Physical Society of Japan

      Volume: Vol.81,artno.074005

    • Peer Reviewed
  • [Journal Article] Reflection of Channel-Guided Solitons at Corners and Junctions in Two-Dimensional2012

    • Author(s)
      Y.Kageyama and H.Sakaguchi
    • Journal Title

      Nonlinear Schrodinger Equation Journal of Physical Society of Japan

      Volume: Vol.81,artno.033001

    • Peer Reviewed
  • [Journal Article] Spatially Periodic Domain Structure in Coupled Reaction-Diffusion Equations for Segment Formation2012

    • Author(s)
      H.Sakaguchi
    • Journal Title

      Journal of Physical Society of Japan

      Volume: Vol.81,artno.024802

    • Peer Reviewed
  • [Journal Article] Mechanism of Stepped Leaders in a Simple Discharge Model2011

    • Author(s)
      H.Sakaguchiand K.M.Kourkouss
    • Journal Title

      Journal of Physical Society of Japan

      Volume: Vol.80,artno.094003

    • Peer Reviewed
  • [Journal Article] Self-organized criticality in an interface-growth model with quenched randomness2010

    • Author(s)
      H.Sakaguchi
    • Journal Title

      Physical Review E

      Volume: Vol.82,artno.032101

    • Peer Reviewed
  • [Journal Article] Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge2010

    • Author(s)
      H.Sakaguchi and S.M.Kourkouss
    • Journal Title

      Journal of Physical Society of Japan

      Volume: Vol.79,artno.064802

    • Peer Reviewed
  • [Journal Article] Coupled-map-lattice model for spontaneous pore formation in anodic oxidation2010

    • Author(s)
      H.Sakaguchiand J.Zhao
    • Journal Title

      Physical Review E

      Volume: Vol.80,artno.013824

    • Peer Reviewed
  • [Presentation] 渦点系における渦格子融解の数値シミュレーション2012

    • Author(s)
      坂口英継、喜多健二
    • Organizer
      日本物理学会
    • Place of Presentation
      横浜
    • Year and Date
      2012-09-20
  • [Presentation] ボーズ・アインシュタイン凝縮体におけるケルビン・ヘルムホルツ不安定性と渦形成2011

    • Author(s)
      柏良輔、大田彰、坂口英継
    • Organizer
      日本物理学会
    • Place of Presentation
      富山
    • Year and Date
      2011-09-26
  • [Presentation] 逆 2 乗ポテンシャル中の粒子の中心への落下と斥力相互作用による落下の抑制2011

    • Author(s)
      坂口英継 B.A.Malomed
    • Organizer
      日本物理学会
    • Place of Presentation
      富山
    • Year and Date
      2011-09-21
  • [Presentation] 沿面放電パターンのシミュレーション2010

    • Author(s)
      坂口英継、Kourkouss M.Sahim
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪
    • Year and Date
      2010-09-26
  • [Presentation] アルミニウム陽極酸化における細孔形成の CML モデル2010

    • Author(s)
      坂口英継、趙潔
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪
    • Year and Date
      2010-09-23

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Published: 2014-08-29  

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