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Generic Conditions for Hydrodynamic Synchronization
Open accessAbstract
Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by hydrodynamic interaction, we study a model of rigid-body rotors making fixed trajectories of arbitrary shape under driving forces that are arbitrary functions of the phase. For a wide class of geometries, we obtain the necessary and sufficient conditions for synchronization of a pair of rotors. We also find a novel synchronized pattern with an oscillating phase shift. Our results shed light on the role of hydrodynamic interactions in biological systems, and could help in developing efficient mixing and transport strategies in microfluidic devices.
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Cited by
Physics of microswimmers—single particle motion and collective behavior: a review
Elgeti, J., Winkler, R. G., & Gompper, G. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/5/056601 · Cited by 1,514
Tuned, driven, and active soft matter
Menzel, A. M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.10.001 · Cited by 295
Flagellar synchronization through direct hydrodynamic interactions
Brumley, D. R., Wan, K. Y., Polin, M., & Goldstein, R. E. (2014) · eLife · doi:10.7554/elife.02750 · Cited by 262
Brumley, D. R., Polin, M., Pedley, T. J., & Goldstein, R. E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.268102 · Cited by 164
Metadata
- Authors
- Uchida, N., & Golestanian, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-02-04
- Volume
- 106
- Issue
- 5
- Pages
- 058104-058104
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2057850430
- Cited by
- 167
- References
- 0
- FWCI
- 9.66
- Type
- journal article
- Language
- en
- Open access
- green
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- Uchida, N., & Golestanian, R. (2011). Generic Conditions for Hydrodynamic Synchronization. Physical Review Letters. https://doi.org/10.1103/physrevlett.106.058104
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