Alexander, Gareth P., Pooley, C. and Yeomans, Julia M. (2008) Scattering of low-Reynolds-number swimmers. Physical Review E, Vol.78 (No.4). Article: 045302(R). doi:10.1103/PhysRevE.78.045302 ISSN 1539-3755.

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Abstract

We describe the consequences of time-reversal invariance of the Stokes equations for the hydrodynamic scattering of two low-Reynolds-number swimmers. For swimmers that are related to each other by a time-reversal transformation, this leads to the striking result that the angle between the two swimmers is preserved by the scattering. The result is illustrated for the particular case of a linked-sphere model swimmer. For more general pairs of swimmers, not related to each other by time reversal, we find that hydrodynamic scattering can alter the angle between their trajectories by several tens of degrees. For two identical contractile swimmers, this can lead to the formation of a bound state.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Physics
Journal or Publication Title:	Physical Review E
Publisher:	American Physical Society
ISSN:	1539-3755
Official Date:	October 2008
Dates:	Date Event October 2008 Published
Volume:	Vol.78
Number:	No.4
Page Range:	Article: 045302(R)
DOI:	10.1103/PhysRevE.78.045302
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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