2024-03-28T20:12:59Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/834602022-11-17T02:08:08Zhdl_2115_54835hdl_2115_20136hdl_2115_54822hdl_2115_54823hdl_2115_20124On the study of a reaction-diffusion particle model for clustering of self-propelled oil droplets on a surfactant solution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Kim, Minsooキム, ミンス長山, 雅晴栄, 伸一郎田﨑, 創平open access400We 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)Hokkaido University2021-09-24engdoctoral thesisVoRhttps://doi.org/10.14943/doctoral.k14640http://hdl.handle.net/2115/8346010.14943/doctoral.k14640http://hdl.handle.net/2115/8345887p甲第14640号博士(理学)2021-09-2410101北海道大学https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/83460/1/Minsoo_Kim.pdfapplication/pdf11.69 MB2021-09-24