title: Hydrodynamic synchronization of colloidal oscillators.
abstract: Two colloidal spheres are maintained in oscillation by switching the position of an optical trap when a sphere reaches a limit position, leading to oscillations that are bounded in amplitude but free in phase and period. The interaction between the oscillators is only through the hydrodynamic flow induced by their motion. We prove that in the absence of stochastic noise the antiphase dynamical state is stable, and we show how the period depends on coupling strength. Both features are observed experimentally. As the natural frequencies of the oscillators are made progressively different, the coordination is quickly lost. These results help one to understand the origin of hydrodynamic synchronization and how the dynamics can be tuned. Cilia and flagella are biological systems coupled hydrodynamically, exhibiting dramatic collective motions. We propose that weakly correlated phase fluctuations, with one of the oscillators typically processing the other, are characteristic of hydrodynamically coupled systems in the presence of thermal noise.
authors.affiliation: Cavendish Laboratory and Nanoscience Center, University of Cambridge, JJ Thomson Avenue, CB3 0HE Cambridge, United Kingdom.
authors.forename: Jurij
authors.initials: J
authors.lastname: Kotar
authors.forename: Marco
authors.initials: M
authors.lastname: Leoni
authors.forename: Bruno
authors.initials: B
authors.lastname: Bassetti
authors.forename: Marco Cosentino
authors.initials: MC
authors.lastname: Lagomarsino
authors.forename: Pietro
authors.initials: P
authors.lastname: Cicuta
mesh_terms: D001683:Biological Clocks / Q000502:physiology*; D001703:Biophysics; D002923:Cilia / Q000502:physiology; D003102:Colloids / Q000737:chemistry*; D005407:Flagella / Q000502:physiology; D006358:Hot Temperature; D017711:Nonlinear Dynamics; D052898:Optical Tweezers
chemical_list: D003102:Colloids
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