| 研究課題/領域番号 |
15KT0099
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| 研究機関 | 明治大学 |
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研究代表者 |
Ginder Elliott 明治大学, 総合数理学部, 専任准教授 (30648217)
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| 研究分担者 |
中田 聡 広島大学, 理学研究科, 教授 (50217741)
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| 研究期間 (年度) |
2015-07-10 – 2019-03-31
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| キーワード | active matter / interfacial motion / physical chemistry / mathematical modeling |
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| 研究実績の概要 |
Our mathematical model equation was improved to impart the interfacial motions with length preservation, curvature dependence, and general (nonlinear) surface tension terms. The improvements were achieved in such a way that interfaces can be expressed using hybrid immersed boundary and front tracking in simulations. This alleviated instability issues in our original model equation and, in turn, enabled us to perform simulations corresponding to our experimental observations of interfacial active matter (i.e., cemedine filaments in the chemical system). We found that the model equation can capture many of the behaviors exhibited by the physical system..
Through experimentation, we also illustrated a clear dependence between filament distances and synchronized motions. In particular, we showed that in-phase motions occur with high probability whenever the fixed endpoints of the filaments are located close together. Moreover, we determined a parameter range where out-of-phase motions are the dominant mode of synchronization. Outside of this parameter range we showed that the filaments do not synchronize and that their motions resemble a collection of filament acting independent of eachother.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
We have successfully shown agreement between our model equation and the physical experimental system. Computational instabilities had greatly hindered the simulation of our model equation, and hence the verification of our experimental observations. However, through a combination of distance functions and front tracking techniques, we were able to construct an immersed boundary realization of our active matter system. Using this approach, we were able to show that our model equation can reproduce many of the experimental observations.
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| 今後の研究の推進方策 |
The physical system, as well as the model equation, exhibit a variety of behaviors. Some of these are elusive and have not yet been reproduced through simulation. We are therefore planning to perform new experiments, where both ends of the filaments are held fixed. This setting is expected to further simplify the mathematical setting by constraining the motion of the interface to that of a graph.
In addition, we are planning to perform experiments and simulations involving a large number of interfacial active matter (cemedine filaments in the physical system). This will require new techniques for producing large number of cemedine filaments and improvements to our computational framework.
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| 次年度使用額が生じた理由 |
Purchase of experimental equipment was moved to FY 2018. We equipment is to be aquired in 2018.
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