2020 Fiscal Year Final Research Report
Consideration of physical nature of Lagrangian including auxiliary variables in asymmetric dissipative systems
Project/Area Number |
19K23416
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Research Category |
Grant-in-Aid for Research Activity Start-up
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Allocation Type | Multi-year Fund |
Review Section |
0202:Condensed matter physics, plasma science, nuclear engineering, earth resources engineering, energy engineering, and related fields
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Research Institution | Tohoku University |
Principal Investigator |
Ishiwata Ryosuke 東北大学, 東北メディカル・メガバンク機構, 助教 (30850648)
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Project Period (FY) |
2019-08-30 – 2021-03-31
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Keywords | 非対称散逸系 / 線形応答理論 / 自己駆動粒子 |
Outline of Final Research Achievements |
Many attempts have been made to consider the properties and motions of populations by considering automobiles, fish, birds, and insects as individuals, and many mathematical models have been proposed. The main purpose of this study is to use mathematical models to consider the energy of self-driven particles that create the dynamic self-organizing patterns seen in populations such as fish and birds. Specifically, we construct a Lagrangian with auxiliary variables for an asymmetric dissipative system with asymmetric interactions, investigate whether the obtained Lagrangian is reasonable as the energy of self-driven individuals, and consider the geometric properties of the constructed pseudo-Lagrangian. As a preliminary step, we reported the results of our research on the fluctuation dissipation relation for asymmetric dissipative systems in an international journal.
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Free Research Field |
数理物理・物性基礎
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Academic Significance and Societal Importance of the Research Achievements |
魚群や鳥の群れなどの自己駆動粒子の集団運動は、集団全体としての巨視的運動が大きく揺らぎ、多数の準安定な流動形態に遷移する。また自己駆動粒子集団の運動では、高熱源から低熱源への熱流の流れのような動的安定な非平衡定常運動が見られる。 非平衡定常的な集団運動の安定性や集団全体の空間構造などを少数の特徴量であらわすことは、様々な時空間スケールで現れる運動に共通した性質を見出すために役立つであろう。 また、交通流において非対称散逸系は渋滞現象発生のメカニズムなども説明することから、非対称散逸系の性質自体を調べることも応用の観点から重要であると考えている。
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