Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-11-04
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 3 figures
Scientific paper
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 phases. 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 a time-dependent 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.
Golestanian Ramin
Uchida Nariya
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