确定性转换赛艇运动员的异时波与水动力相互作用
Metachronal wave and hydrodynamic interaction for deterministic switching rowers
摘要：
我们采用了一个模型系统，称为划手，作为一个通用的物理框架来定义的问题的纤毛（异时波）的协调运动的平衡过程。划船者是主动（两态）振荡器，仅通过流体动力学起源的力相互作用。在这项工作中，我们考虑的情况下，完全确定性的动力学，找到解析解的运动方程在长波长（连续）的限制，并调查数值的短波长限制。我们证明了在特征波长以下的异时波的存在。这种波是不稳定的，只有当耦合的符号反转时才变得稳定。我们还发现，与正常的流体动力学相互作用的异时模式具有稳定的火车的行波包持续的发病连续划手的反协调跳动的形式。
英文摘要：
We employ a model system, called rowers, as a generic physical framework to define the problem of the coordinated motion of cilia (the metachronal wave) as a far from equilibrium process. Rowers are active (two-state) oscillators interacting solely through forces of hydrodynamic origin. In this work, we consider the case of fully deterministic dynamics, find analytical solutions of the equation of motion in the long wavelength (continuum) limit, and investigate numerically the short wavelength limit. We prove the existence of metachronal waves below a characteristic wavelength. Such waves are unstable and become stable only if the sign of the coupling is reversed. We also find that with normal hydrodynamic interaction the metachronal pattern has the form of stable trains of traveling wave packets sustained by the onset of anti-coordinated beating of consecutive rowers.
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