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On the study of a reaction-diffusion particle model for clustering of self-propelled oil droplets on a surfactant solution
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| Title: | On the study of a reaction-diffusion particle model for clustering of self-propelled oil droplets on a surfactant solution |
| Other Titles: | 界面活性溶液上の自走油滴の集団運動に対する反応拡散-粒子モデルの研究 |
| Authors: | Kim, Minsoo1 Browse this author |
| Authors(alt): | キム, ミンス1 |
| Issue Date: | 24-Sep-2021 |
| Publisher: | Hokkaido University |
| Abstract: | We experimentally and numerically investigate collective behaviors of oil droplets floating on a surfactant solution in a narrow circular channel. A closed environment where a glass cover is placed on the channel shows that ethyl salicylate droplets on the surface of sodium dodecyl sulfate solution exhibit transient oscillatory dynamics, leading to the formation of a single cluster via the merging of sub-clusters. When the glass cover is removed, oscillatory behavior resumes, and the cluster breaks up. To understand these experimental findings, we introduce a mathematical model that combines equations of motion for droplets with a reaction-diffusion system, where droplet dynamics and the chemical reactions are considered on the one-dimensional surface, and the diffusion of chemicals in the air phase and the water phase is treated in the two-dimensional region. Our model successfully reproduces transient oscillations and the characteristics of cluster formation, and the effect of the glass cover. We argue that the long-range attractive interaction due to the global concentration profile of the solution suffices for the cluster formation. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第14640号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 教授 長山 雅晴, 教授 栄 伸一郎, 准教授 田﨑 創平 |
| Degree Affiliation: | 理学院（数学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/83460 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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