Hydrodynamic synchronization of flagellar oscillators

Abstract

We survey the theory synchronization in collections of noisy oscillators. This framework is applied to flagellar synchronization by hydrodynamic interactions. The time-reversibility of hydrodynamics at low Reynolds numbers prompts swimming strokes that break symmetry to facilitate hydrodynamic synchronization. We discuss different physical mechanisms for flagellar synchronization, which break this symmetry in different ways.

15 pages, 3 figures; accepted for publication in EPJ Special Topics Issue,Lecture Notes of the Summer School "Microswimmers -- From Single Particle Motion to Collective Behaviour'', organised by the DFG Priority Programme SPP 1726 (Forschungszentrum Jülich, Jülich, 2015)

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• Synchronization in cilia carpets: multiple metachronal waves are stable, but one wave dominates
• Synchronization in cilia carpets and the Kuramoto model with local coupling: breakup of global synchronization in the presence of noise
• The younger flagellum coordinates the beating in C. reinhardtii
• Role of spatial heterogeneity on the collective dynamics of cilia beating in a minimal 1D model
• Competing effects of inertia, sheet elasticity, and fluid viscoelasticity on the synchronization of two actuated sheets
• Load response of shape-changing microswimmers scales with their energy efficiency
• From Flocking to Condensation: Collective Dynamics in Binary Chiral Active Matter
• Excitable mechanics embodied in a walking cilium
• Nonlinear dynamics and fluctuations in biological systems (Habilitation thesis)
• Chiral Active Matter
• Transportation efficiency of hydrodynamically coupled spherical oscillators in low Reynolds number fluids