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Hydrodynamic synchronization of colloidal oscillators.

TitleHydrodynamic synchronization of colloidal oscillators.
Publication TypeJournal Article
Year of Publication2010
AuthorsKotar, J, Leoni, M, Bassetti, B, Cosentino Lagomarsino, M, Cicuta, P
JournalProc Natl Acad Sci U S A
Volume107
Issue17
Pagination7669-73
Date Published2010 Apr 27
ISSN1091-6490
KeywordsBiological Clocks, Biophysics, Cilia, Colloids, Flagella, Hot Temperature, Nonlinear Dynamics, Optical Tweezers
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.

DOI10.1073/pnas.0912455107
Alternate JournalProc. Natl. Acad. Sci. U.S.A.
PubMed ID20385848
PubMed Central IDPMC2867893