Formation and dynamics of branching and hierarchical structures
| Project/Area Number |
22540393
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyushu University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥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)
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| 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 |
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| 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.
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Report
(4 results)
Research Products
(26 results)
