论文标题
poiseuille流中的变形游泳者的新兴风湿性
Emergent rheotaxis of shape-changing swimmers in Poiseuille flow
论文作者
论文摘要
最近，Omori等人提出了一个简单的模型，用于Poiseuille流动流动流动中的运动和数字探索。 （2022）。这些探索暗示，少数相互作用的力学可以在此模型中推动长期行为，这是在经过良好研究的藻类衣原体及其在这种流中的风湿性行为的背景下进行的。在这里，我们通过多尺度的渐近分析分析地探索了该模型，试图正式识别塑造这些游泳者在Poiseuille流中的行为的因果因素。通过捕获类似哈密顿的数量的演变，我们揭示了一个依赖游泳者的常数长期漂移的起源，该常数决定了游泳者的最终行为。该常数捕获了振荡速度与变形游泳者的有效流体动力形状之间的非线性相互作用，从而使漂移朝着或远离rheotaxis。
A simple model for the motion of shape-changing swimmers in Poiseuille flow was recently proposed and numerically explored by Omori et al. (2022). These explorations hinted that a small number of interacting mechanics can drive long-time behaviours in this model, cast in the context of the well-studied alga Chlamydomonas and its rheotactic behaviours in such flows. Here, we explore this model analytically via a multiple-scale asymptotic analysis, seeking to formally identify the causal factors that shape the behaviour of these swimmers in Poiseuille flow. By capturing the evolution of a Hamiltonian-like quantity, we reveal the origins of the long-term drift in a single swimmer-dependent constant, whose sign determines the eventual behaviour of the swimmer. This constant captures the nonlinear interaction between the oscillatory speed and effective hydrodynamic shape of deforming swimmers, driving drift either towards or away from rheotaxis.
