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Hydrodynamic Interaction between Two Swimmers at Low Reynolds Number
Abstract
We investigate the hydrodynamic interactions between micro-organisms swimming at low Reynolds number. By considering simple model swimmers, and combining analytic and numerical approaches, we investigate the time-averaged flow field around a swimmer. At short distances the swimmer behaves like a pump. At large distances the velocity field depends on whether the swimming stroke is invariant under a combined time-reversal and parity transformation. We then consider two swimmers and find that the interaction between them consists of two parts: a passive term, independent of the motion of the second swimmer, and an active term resulting from the simultaneous swimming action of both swimmers. The swimmer-swimmer interaction is a complicated function of their relative displacement, orientation, and phase, leading to motion that can be attractive, repulsive, or oscillatory.
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Citations
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Purcell, E. M. (1977) · American Journal of Physics · doi:10.1119/1.10903 · Cited by 4,360
Cited by
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Drescher, K., Goldstein, R. E., Michel, N., Polin, M., & Tuval, I. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.168101 · Cited by 443
Emergent behavior in active colloids
Zöttl, A., & Stark, H. (2016) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/28/25/253001 · Cited by 426
Statistical mechanics and hydrodynamics of bacterial suspensions
Baskaran, A., & Marchetti, M. C. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0906586106 · Cited by 340
Tuned, driven, and active soft matter
Menzel, A. M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.10.001 · Cited by 295
Oscillatory Flows Induced by Microorganisms Swimming in Two Dimensions
Guasto, J. S., Johnson, K. A., & Gollub, J. P. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.168102 · Cited by 273
Metadata
- Authors
- Pooley, C. M., Alexander, G. P., & Yeomans, J. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-11-28
- Volume
- 99
- Issue
- 22
- Pages
- 228103-228103
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2080781761
- Cited by
- 182
- References
- 1
- FWCI
- 12.76
- Type
- journal article
- Language
- en
- Open access
- closed
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- Pooley, C. M., Alexander, G. P., & Yeomans, J. M. (2007). Hydrodynamic Interaction between Two Swimmers at Low Reynolds Number. Physical Review Letters. https://doi.org/10.1103/physrevlett.99.228103
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