Mathematics of amorphous structures and soft ceramics
| Project/Area Number |
26310205
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 特設分野 |
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| Research Field |
Mathematical Sciences in Search of New Cooperation
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| Research Institution | Tohoku University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
平岡 裕章 東北大学, 材料科学高等研究所, 教授 (10432709)
平田 秋彦 東北大学, 材料科学高等研究所, 准教授 (90350488)
齊藤 国靖 東北大学, 数理科学連携研究センター, 准教授 (10775753)
中村 壮伸 東北大学, 原子分子材料科学高等研究機構, 助教 (10642324)
阿尻 雅文 東北大学, 原子分子材料科学高等研究機構, 教授 (60182995)
小布施 祈織 岡山大学, 大学院環境生命科学研究科, 助教 (90633967)
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| Project Period (FY) |
2014-07-18 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥14,430,000 (Direct Cost: ¥11,100,000、Indirect Cost: ¥3,330,000)
Fiscal Year 2017: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2016: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2015: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
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| Keywords | 計算ホモロジー / マルチスケール / 自己組織化 / アモルファス / ソフトセラミックス / ナノ微粒子 / ミクロ相分離 / 計算ホモロジ- / アモルフォス / ソフトセラミクス |
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| Outline of Final Research Achievements |
Computational homology, in particular, persistent diagram (PD) was proven to be a nice mathematical descriptor for amorphous structures. It shows an island structure which contrasts with random or liquid case. The software HomCloud was developed to analyze the experimental data.
A coupled Cahn-Hilliard equations was proposed to model the micro-phase separation of nanoparticles of diblock copolymers and experimentally verified to have a predictable power.A sophisticated MD simulations contributed to the fundamental aspect of dynamics of soft ceramics regarding to shear flows and uniform compression.
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Report
(5 results)
Research Products
(87 results)
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[Journal Article] Initial Atomic Motion Immediately Following Femtosecond-Laser Excitation in Phase-Change Materials2016
Author(s)
E. Matsubara,S. Okada, T. Ichitsubo, T. Kawaguchi, A. Hirata, P.F. Guan, K. Tokuda, K. Tanimura, T. Matsunaga, M.W. Chen, N. Yamada
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Journal Title
Physical Review Letters
Volume: 135501
Issue: 13
DOI
Related Report
Peer Reviewed
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[Presentation] Granular turbulence2016
Author(s)
Kuniyasu Saitoh
Organizer
International Conference Patterns and Waves 2016
Place of Presentation
Hokkaido University, Sapporo, Japan
Year and Date
2016-08-01
Related Report
Int'l Joint Research
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