@article{dcf6dce8ec684a82998ece2ef33f62d3,
title = "Two floating camphor particles interacting through the lateral capillary force",
abstract = "We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dimension. This setup corresponds to an experimental system with floating camphor particles at a water surface. A repulsive interaction is introduced, as well as a self-propelling force, through the concentration field of camphor molecules at the water surface. Here, we newly adopt the attractive lateral capillary force due to the deformation of the water surface. The particles experience competing dissipative repulsion and conservative attraction. We numerically investigated the mathematical model and found six different modes of motion. The theoretical approach revealed that some of such mode transitions can be understood in terms of bifurcation.",
author = "Yuhei Hirose and Yusuke Yasugahira and Mamoru Okamoto and Yuki Koyano and Hiroyuki Kitahata and Masaharu Nagayama and Yutaka Sumino",
note = "Funding Information: The authors acknowledge J. Gorecki for his helpful discussion. This work was supported by JSPS KAKENHI Grant Numbers JP19J00365, JP16H03949, JP16K13866, JP16H06478, and JP19H05403 and the Cooperative Research Program of Network Joint Research Center for Materials and Devices (Nos. 20181023, 20181048, 20183003, 20194006, and 20191030). This work was also supported by JSPS and PAN under the Japan-Poland Research Cooperative Program {"}Spatio-temporal patterns of elements driven by self-generated, geometrically constrained flows{"}. Funding Information: Acknowledgment The authors acknowledge J. Gorecki for his helpful discussion. This work was supported by JSPS KAKENHI Grant Numbers JP19J00365, JP16H03949, JP16K13866, JP16H06478, and JP19H05403 and the Cooperative Research Program of Network Joint Research Center for Materials and Devices (Nos. 20181023, 20181048, 20183003, 20194006, and 20191030). This work was also supported by JSPS and PAN under the Japan–Poland Research Cooperative Program “Spatio-temporal patterns of elements driven by self-generated, geometrically constrained flows”. Publisher Copyright: {\textcopyright} 2020 The Physical Society of Japan.",
year = "2020",
month = jul,
doi = "10.7566/JPSJ.89.074004",
language = "English",
volume = "89",
journal = "journal of the physical society of japan",
issn = "0031-9015",
publisher = "The Physical Society of Japan",
number = "7",
}