Hydrodynamic Synchronisation of Model Microswimmers
arXiv:0907.1542 · doi:10.1007/s10955-009-9826-x
Abstract
We define a model microswimmer with a variable cycle time, thus allowing the possibility of phase locking driven by hydrodynamic interactions between swimmers. We find that, for extensile or contractile swimmers, phase locking does occur, with the relative phase of the two swimmers being, in general, close to 0 or pi, depending on their relative position and orientation. We show that, as expected on grounds of symmetry, self T-dual swimmers, which are time-reversal covariant, do not phase-lock. We also discuss the phase behaviour of a line of tethered swimmers, or pumps. These show oscillations in their relative phases reminiscent of the metachronal waves of cilia.
17 pages, 8 figures
References in corpus (6)
- Analytic results for the three-sphere swimmer at low Reynolds number
- Cooperation of Sperm in Two Dimensions: Synchronization, Attraction and Aggregation through Hydrodynamic Interactions
- Numerical Study of a Microscopic Artificial Swimmer
- A basic swimmer at low Reynolds number
- Synchronization of rotating helices by hydrodynamic interactions
- Scattering of low Reynolds number swimmers
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