二维微型游泳者的哈密顿动力学与结构状态
Hamiltonian Dynamics and Structural States of Two-Dimensional Microswimmers
AI总结：
本文提出二维集群微型游泳者系统的流体动力学相互作用可用哈密顿形式表示，揭示了哈密顿量守恒及其对称性如何驱动粒子形成“自动扶梯”式稳态自组装结构。
摘要：
我们证明，发生流体动力学相互作用的集群微型游泳者二维系统可以用哈密顿形式表示。哈密顿量严格取决于粒子与其游泳方向之间的角度，从而限制了其可用相空间。共向微型游泳者的模拟演化为“自动扶梯”——即特定倾角处的锐线，粒子沿此循环。哈密顿量守恒及其对称性孕育了观察到的稳态排列的自组装，这已由稳定性分析证实。
英文摘要：
We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming orientation, thereby restricting their available phase-space. Simulations of co-oriented microswimmers evolve into "escalators" - sharp lines at a particular tilt along which particles circulate. The conservation of the Hamiltonian and its symmetry germinate the self-assembly of the observed steady-state arrangements as confirmed by stability analysis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
