Formation and dynamics of branching and hierarchical structures

• Project/Area Number: 22540393
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kyushu 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
• Project Status: Completed (Fiscal Year 2012)
• Budget Amount: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000); Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
• Keywords: 統計物理学 / 非線形・非衡物理学 / フラクタル / 分岐構造 / 階層構造 / 非線形ダイナミクス / 分岐パターン / 放電 / 体節形成 / 位置情報 / 大規模停電 / スケールフリーネット / カスケード故障 / 沿面放電 / 自己組織化 / ランダム界面 / セルフアフィン

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

• [Journal Article] Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices (2013)
  • Author(s): Hidetsugu Sakaguchi and Li Ben
  • Journal Title: Physical Review A Volume: 87 Pages: 0156021-5
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Three Dimensional Dendrites using Coupled Map Lattices (2012)
  • Author(s): H.Sakaguchi, M.Gondou and H.Honjo
  • Journal Title: Journal of Physical Society of Japan Volume: Vol.81,artno.124004
  • NAID: 40019524910
  • Peer Reviewed
• [Journal Article] Cascade Failure in a Phase Model of Power Grids (2012)
  • Author(s): H.Sakaguchiand T.Matsuo
  • Journal Title: Journal of Physical Society of Japan Volume: Vol.81,artno.074005
  • NAID: 40019341444
  • Peer Reviewed
• [Journal Article] Reflection of Channel-Guided Solitons at Corners and Junctions in Two-Dimensional (2012)
  • 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 Formation (2012)
  • Author(s): H.Sakaguchi
  • Journal Title: Journal of Physical Society of Japan Volume: Vol.81,artno.024802
  • NAID: 40019151699
  • Peer Reviewed
• [Journal Article] Cascade Failure in a Phase Model of Power Grids (2012)
  • Author(s): Hidetsugu Sakaguchi and Tatsuma Matsuo
  • Journal Title: Journal of the Physical Society of Japan Volume: 81 Issue: 7 Pages: 0740051-7
  • DOI: 10.1143/jpsj.81.074005
  • NAID: 40019341444
  • Peer Reviewed
• [Journal Article] Melting Transition of Vortex Lattice in Point Vortex Systems (2012)
  • Author(s): Hidetsugu Skaguchi and Kenji Kita
  • Journal Title: Journal of the Physical Society of Japan Volume: 81 Issue: 10 Pages: 1040081-8
  • DOI: 10.1143/jpsj.81.104008
  • Peer Reviewed
• [Journal Article] Stabilizing single- and two-color-vortex beams in quadratic media by a trapping potential (2012)
  • Author(s): Hidetsugu Sakaguchi and Boris A. Malomed
  • Journal Title: Journal of the Optical Society of America B Volume: 29 Pages: 2741-2748
  • Peer Reviewed
• [Journal Article] Numerical Simulation of Three-Dimensional Dendrites using Coupled Map Lattices (2012)
  • Author(s): Hidetsugu Sakaguchi, Mai Gondou, and Haruo Honjo
  • Journal Title: Journal of the Physical Society of Japan Volume: 81 Issue: 12 Pages: 1240041-4
  • DOI: 10.1143/jpsj.81.124004
  • NAID: 40019524910
  • Peer Reviewed
• [Journal Article] Mechanism of Stepped Leaders in a Simple Discharge Model (2011)
  • Author(s): H.Sakaguchiand K.M.Kourkouss
  • Journal Title: Journal of Physical Society of Japan Volume: Vol.80,artno.094003
  • NAID: 40018996908
  • Peer Reviewed
• [Journal Article] Mechanism of Stepped Leaders in a Simple Discharge Model (2011)
  • Author(s): H.Sakaguchi, S.M.Sahim
  • Journal Title: Journal of the Physical Society of Japan Volume: 80 Issue: 9 Pages: 0940031-5
  • DOI: 10.1143/jpsj.80.094003
  • NAID: 40018996908
  • Peer Reviewed
• [Journal Article] Spatially Periodic Domain Struture in Coupled Reaction-Diffusion Equations for Segment Formation (2011)
  • Author(s): H.Sakaguchi
  • Journal Title: Journal of the Physical Society of Japan Volume: 81 Issue: 2 Pages: 0248021-6
  • DOI: 10.1143/jpsj.81.024802
  • Peer Reviewed
• [Journal Article] Suppression of the quantum-mechanical collapse by repulsive interaction in a quantum gas (2011)
  • Author(s): H.Sakaguchi, B.A.Malomed
  • Journal Title: Physical Review A Volume: 83 Issue: 1 Pages: 0136071-7
  • DOI: 10.1103/physreva.83.013607
  • NAID: 120004979406
  • Peer Reviewed
• [Journal Article] Self-organized criticality in an interface-growth model with quenched randomness (2010)
  • Author(s): H.Sakaguchi
  • Journal Title: Physical Review E Volume: Vol.82,artno.032101
  • NAID: 120005227422
  • Peer Reviewed
• [Journal Article] Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge (2010)
  • Author(s): H.Sakaguchi and S.M.Kourkouss
  • Journal Title: Journal of Physical Society of Japan Volume: Vol.79,artno.064802
  • NAID: 40017143702
  • Peer Reviewed
• [Journal Article] Coupled-map-lattice model for spontaneous pore formation in anodic oxidation (2010)
  • Author(s): H.Sakaguchiand J.Zhao
  • Journal Title: Physical Review E Volume: Vol.80,artno.013824
  • NAID: 120005227424
  • Peer Reviewed
• [Journal Article] Coupled-map-lattice model for spontaneous pore formation in anodic oxidation (2010)
  • Author(s): H.Sakaguchi, J.Zhao
  • Journal Title: Physical Review E Volume: 81
  • NAID: 120005227424
  • Peer Reviewed
• [Journal Article] Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge (2010)
  • Author(s): H.Sakaguchi, S.M.Kourkouss
  • Journal Title: J.Phys.Soc.Jpn. Volume: 79
  • NAID: 40017143702
  • 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] 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 （坂口英継）
  • Organizer: 日本物理学会2012年秋季大会
  • Place of Presentation: 横浜
• [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] 逆2乗ポテンシャル中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
  • 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
• [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