Study on the mechanisms for collective motions of molecular and astronomical systems based the methods of many-body problems
| Project/Area Number |
26800207
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Waseda University |
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Principal Investigator |
Yanao Tomohiro 早稲田大学, 理工学術院, 准教授 (40444450)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 多体問題 / 集団運動 / 分子モーター / DNA / クラスター / 共鳴 / 三体問題 / 重力アシスト / 非線形力学 / 統計力学 / 天体力学 / 生物物理 / 協同現象 / 国際情報交換（米国） / 幾何学 / 化学物理 / 国際情報交換（米国、伊国） / 非平衡統計力学 / 国際情報交換（米国、ドイツ） |
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| Outline of Final Research Achievements |
Understanding the fundamental mechanisms for collective motions of many-body systems, ranging from the microscopic molecular systems to macroscopic astronomical systems, is a significant challenge in modern science and technology. In this study, we have tackled this issue utilizing the methodologies of nonlinear dynamics, statistical mechanics, and differential geometry. As a result, we have developed novel dynamical models for the rotary motions of biological molecular motors and the formation of higher-order structures of DNA. We have also uncovered a dynamical mechanism for driving the dissociation of atomic clusters in terms of the competition between collective internal forces. As to the macroscopic astronomical systems, we have designed fuel-efficient transfer trajectories for space missions between the Earth and the Moon by using resonant gravity assists and invariant manifolds of periodic orbits.
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Report
(5 results)
Research Products
(57 results)
