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SUEMATSU Nobuhiko
Department Undergraduate School , School of Interdisciplinary Mathematical Sciences Position Professor |
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| Language | English |
| Publication Date | 2019/02 |
| Type | Academic Journal |
| Peer Review | Peer reviewed |
| Title | Rotational motion of a camphor disk in a circular region |
| Contribution Type | Co-authored (other than first author) |
| Journal | Physical Review E |
| Journal Type | Another Country |
| Volume, Issue, Page | 99,pp.022211 |
| Author and coauthor | Yuki Koyano, Nobuhiko J. Suematsu, Hiroyuki Kitahata |
| Details | © 2019 American Physical Society. In a two-dimensional axisymmetric system, the system symmetry allows rotational or oscillatory motion as stable stationary motion for a symmetric self-propelled particle. In the present paper, we studied the motion of a camphor disk confined in a two-dimensional circular region. By reducing the mathematical model describing the dynamics of the motion of a camphor disk and the concentration field of camphor molecules on a water surface, we analyzed the reduced equations around a bifurcation point where the rest state at the center of the system becomes unstable. As a result, we found that rotational motion is stably realized through the double-Hopf bifurcation from the rest state. The theoretical results were confirmed by numerical calculation and corresponded well to the experimental results. |
| DOI | 10.1103/PhysRevE.99.022211 |
| ISSN | 24700045 |
| PMID | 30934219 |
| PermalinkURL | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85062473129&origin=inward |