Oxford Theoretical Physics

Condensed Matter Theory: Soft and Biological Matter

Julia Yeomans

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Low Reynolds number swimming

Microscopic organisms, such as bacteria and ciliated protozoa, swim in the low Reynolds number regime. This is analogous to humans trying to move in a very viscous liquid like treacle. Inertia is unimportant: once the swimmer ceases to move it stops instantly. The Stokes equations, which govern the zero Reynolds number limit, are invariant under time reversal and this means that to move at all the microswimmer must have a swimming stroke which is non-reciprocal in time.

We are using simple model swimmers to understand the hydrodynamics of swimming and the interactions that occur between organisms. One aim is to explore possible designs for fabricated microswimmers which could be used to carry payloads such as drugs. Another is to understand whether there are mechanisms whereby swimming bacteria can respond to the flow fields set up by their neighbours.



Left: E-coli bacteria swimming. Right: a man-made microswimmer [1]. The head is a red blood cell; the tail a string of magnetic colloids.

[1] Dreyfus et al., Nature 437, 862 (2005).




Left: Swimming stroke of a model low Reynolds number swimmer

Right: Trajectories of two swimmers for different initial relative positions: the paths deviate from linear because of hydrodynamic interactions between the swimmers.


Recent Publications:

1. Dumb-bell swimmers, arxiv:0805.0733 [arxiv]

2. Hydrodynamic interactions between two swimmers at low Reynolds number, Phys. Rev. Lett. 99, 228103 (2007) [arxiv]

3. Modelling microscopic swimmers at low Reynolds number, J. Chem. Phys. 126, 064703 (2007) [arxiv]


Last updated: 18th May 2008