General Criteria for Determining Rotation or Oscillation in a Two-dimensional Axisymmetric System
arXiv:1411.2409 · doi:10.1063/1.4923421
Abstract
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.
arXiv comment9 pages, 7 figures
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- On a simple model that explains inversion of a self-propelled rotor under periodic stop and release operations