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Journal Article

Curvature-controlled defect dynamics in active systems

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Ehrig,  Sebastian
John Dunlop, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Weinkamer,  Richard
Richard Weinkamer, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Dunlop,  John W. C.
John Dunlop, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society;

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Citation

Ehrig, S., Ferracci, J., Weinkamer, R., & Dunlop, J. W. C. (2017). Curvature-controlled defect dynamics in active systems. Physical Review E, 95(6): 062609. doi:10.1103/PhysRevE.95.062609.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-BB36-0
Abstract
We have studied the collective motion of polar active particles confined to ellipsoidal surfaces. The geometric constraints lead to the formation of vortices that encircle surface points of constant curvature (umbilics). We have found that collective motion patterns are particularly rich on ellipsoids, with four umbilics where vortices tend to be located near pairs of umbilical points to minimize their interaction energy. Our results provide a new perspective on the migration of living cells, which most likely use the information provided from the curved substrate geometry to guide their collective motion.