並列タイトル等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
一般注記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.
(主査) 教授 長山 雅晴, 教授 栄 伸一郎, 准教授 田﨑 創平
理学院(数学専攻)
コレクション(個別)国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文
受理日(W3CDTF)2022-01-10T16:22:37+09:00
連携機関・データベース国立国会図書館 : 国立国会図書館デジタルコレクション