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Long-range interactions and phase defects in chains of fluid-coupled\n oscillators

2016/06/02 by Douglas R. Brumley, Brumley, Douglas R., Nicolas Bruot +9
Computer Science · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Micro and Nano Robotics #Nonlinear Dynamics and Pattern Formation #Orbital Angular Momentum in Optics #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1606.00683

openalex publication_date 2016/06/02 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

Eukaryotic cilia and flagella are chemo-mechanical oscillators capable of\ngenerating long-range coordinated motions known as metachronal waves. Pair\nsynchronization is a fundamental requirement for these collective dynamics, but\nit is generally not sufficient for collective phase-locking, chiefly due to the\neffect of long-range interactions. Here we explore experimentally and\nnumerically a minimal model for a ciliated surface; hydrodynamically coupled\noscillators rotating above a no-slip plane. Increasing their distance from the\nwall profoundly effects the global dynamics, due to variations in hydrodynamic\ninteraction range. The array undergoes a transition from a traveling wave to\neither a steady chevron pattern or one punctuated by periodic phase defects.\nWithin the transition between these regimes the system displays behavior\nreminiscent of chimera states.\n

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