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A03 YOSHINAGA, Natsuhiko |Proposed Research Projects (2014-2015)

Paper | Original Paper

2015

Yuki Koyano, Yoshinaga Natsuhiko, and *Hiroyuki Kitahata,
General criteria for determining rotation or oscillation in a two-dimensional axisymmetric system,
Journal of Chemical Physics 143, 014117/1-6 (2015).

[Summary] A self-propelled particle in a two-dimensional axisymmetric system, such as a particle in a central force field or confined in a circular region, may show rotational or oscillatory motion. These motions do not require asymmetry of the particle or the boundary, but arise through spontaneous symmetry breaking.We propose a generic model for a self-propelled particle in a two-dimensional axisymmetric system. A weakly nonlinear analysis establishes criteria for determining rotational or oscillatory motion.