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arXiv 1503.01805physics.flu-dyncond-mat.softmath.DSnlin.CD
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蠕动流中平面受限微转子的周期和混沌轨道

Periodic and chaotic orbits of plane-confined micro-rotors in creeping flows

Enkeleida Lushi, Petia M. Vlahovska

摘要:

我们从理论上探讨了浸没在粘性流体中的旋转球体的复杂动力学和涌现行为。粒子通过悬浮在其中的流体相互耦合:每个粒子都用小转子场干扰周围的流体,并且流体流动影响其他粒子的运动。我们注意到复杂的周期性或混沌轨迹的出现,取决于转子的初始位置和分离。平面内的点转子运动与经典的二维点涡动力学有相似之处。我们的分析突出了几个转子之间相互作用的复杂性,并建议在更密集的人群中更丰富的行为。我们讨论了该模型如何深入了解更复杂的复杂系统,并提出了可能的扩展,为今后的理论研究。

英文摘要:

We explore theoretically the complex dynamics and emergent behaviors of spinning spheres immersed in viscous fluid. The particles are coupled to each-other via the fluid in which they are suspended: each particle disturbs the surrounding fluid with a rotlet field and that fluid flow affects the motion of the other particles. We notice the emergence of intricate periodic or chaotic trajectories that depend on the rotors initial position and separation. The point-rotor motions confined to a plane bear similarities the classic 2D point-vortex dynamics. Our analyses highlight the complexity of the interaction between just a few rotors and suggest richer behavior in denser populations. We discuss how the model gives insight into more complex systems and suggest possible extensions for future theoretical studies.

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。

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