2023 Fiscal Year Final Research Report
Exploration of groups of self-driven particles in terms of the swarm oscillator model.
| Project/Area Number |
20K03775
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Review Section |
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
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| Research Institution | Aichi Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2024-03-31
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| Keywords | 自己組織化 / 非対称散逸系 / 自己駆動多粒子系 / アクティブマター |
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| Outline of Final Research Achievements |
Swarm oscillator model, a mathematical model of a many-particle system exhibiting various macroscopic pattern formation, was analyzed to investigate the mechanism underlying the self-organization. The result was such that 1) it was mathematically shown that the internal degree of freedom of the particles leads to the diversity of the patterns, 2) it is also shown that, even when the direct interaction between particles is symmetric, the effective interaction can be asymmetric when there is an appropriate external dissipative force, and 3) the comparison of the model with the real cell revealed that the mechanism of the motion of the real cell is well described by that of the model.
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| Free Research Field |
理論物理学
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| Academic Significance and Societal Importance of the Research Achievements |
内部自由度や非対称な相互作用は，生物的な（アクティブな）粒子に典型的な性質であり，これらの成果が，群れなど生物の集団において多様な集団的挙動が形成される理由を内包している可能性が示唆されたことになると考えられる． また，現実の細胞集団を理解する際，swarm oscillatorモデルはその簡便な数理モデルとして機能する可能性が高まったと考えられる．
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