Nonlinear dynamics of a microswimmer in Poiseuille flow

Details Nonlinear dynamics of a microswimmer in Poiseuille flow Nonlinear dynamics of a microswimmer in Poiseuille flow

2012-01-03

arxiv.org/abs/1201.0629v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures

Scientific paper

We study the three-dimensional dynamics of a spherical microswimmer in cylindrical Poiseuille flow which can be mapped onto a Hamiltonian system. Swinging and tumbling trajectories are identified. In 2D they are equivalent to oscillating and circling solutions of a mathematical pendulum. Hydrodynamic interactions between the swimmer and confining channel walls lead to dissipative dynamics and result in stable trajectories, different for pullers and pushers. We demonstrate this behavior in the dipole approximation of the swimmer and with simulations using the method of multi-particle collision dynamics.

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