2009 Fiscal Year Final Research Report
Study on the formation process of fractal structures with large-scale hierarchal systems
| Project/Area Number |
19360042
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Toyota Physical & Chemical Research Institute (2008-2009)
Hokkaido University (2007) |
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Principal Investigator |
NAKAYAMA Tsuneyoshi Toyota Physical & Chemical Research Institute, フェロー (80002236)
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| Co-Investigator(Kenkyū-buntansha) |
YAKUBO Kousuke 北海道大学, 大学院・工学研究科, 教授 (40200480)
SHIMA Hiroyuki 北海道大学, 大学院・工学研究科, 助教 (40312392)
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| Project Period (FY) |
2007 – 2009
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| Keywords | フラクタル / 多自由度 / 複雑系 |
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| Research Abstract |
The results are summarized as follows : 1) We have provided the theoretical basis, according to fluid mechanics, on the relationship between fractal dimensions of aggregates and sedimentation velocity. 2) We have theoretically presented the probability distribution function of the fractal dimension characterizing critical fractal systems. 3) We have demonstrated that there holds the dynamic scaling law in inelastic neutron scattering data for anti-ferromagnetic percolating systems. 4) We have clarified the relation between the fractal and the small-world properties of complex network systems.
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