2017 Fiscal Year Research-status Report
The Interfacial and Free-Boundary Dynamics of Active Matter
| Project/Area Number |
15KT0099
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| Research Institution | Meiji University |
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Principal Investigator |
Ginder Elliott 明治大学, 総合数理学部, 専任准教授 (30648217)
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| Co-Investigator(Kenkyū-buntansha) |
中田 聡 広島大学, 理学研究科, 教授 (50217741)
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| Project Period (FY) |
2015-07-10 – 2019-03-31
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| Keywords | active matter / interfacial motion / physical chemistry / mathematical modeling |
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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
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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| Strategy for Future Research Activity |
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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| Causes of Carryover |
Purchase of experimental equipment was moved to FY 2018. We equipment is to be aquired in 2018.
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