title: Mathematical model for self-propelled droplets driven by interfacial tension.
abstract: We propose a model for the spontaneous motion of a droplet induced by inhomogeneity in interfacial tension. The model is derived from a variation of the Lagrangian of the system and we use a time-discretized Morse flow scheme to perform its numerical simulations. Our model can naturally simulate the dynamics of a single droplet, as well as that of multiple droplets, where the volume of each droplet is conserved. We reproduced the ballistic motion and fission of a droplet, and the collision of two droplets was also examined numerically.
authors.affiliation: School of Materials Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa 923-1292, Japan.
authors.forename: Ken H
authors.initials: KH
authors.lastname: Nagai
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: Kunihito
authors.initials: K
authors.lastname: Tachibana
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: Yuta
authors.initials: Y
authors.lastname: Tobe
authors.affiliation: Graduate School of Natural Science and Technology, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: Masaki
authors.initials: M
authors.lastname: Kazama
authors.affiliation: Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Kitahata
authors.affiliation: Faculty of Mathematics and Physics, Kanazawa University, Kanazawa, Ishikawa 920-1192, Japan.
authors.forename: Seiro
authors.initials: S
authors.lastname: Omata
authors.affiliation: Research Institute for Electronic Science, Hokkaido University, Hokkaido 060-0812, Japan.
authors.forename: Masaharu
authors.initials: M
authors.lastname: Nagayama