arXiv 2011.087962020-11-14physics.flu-dynmath.DSnlin.CD

通过动力系统透镜的液滴行走

Walking Droplets Through the Lens of Dynamical Systems

Aminur Rahman, Denis Blackmore

备注：: 19 pages, 12 figures
发表信息：: Mod. Phys. Lett. B (2020)
DOI：: 10.1142/S0217984920300094

摘要：

在过去的十年中，对流体液滴在振动流体浴上弹跳和跳跃（或“行走”）的研究已经从一个有趣的实验发展成为一个充满活力的研究领域。该领域展示了具有挑战性的流体问题，与量子力学的潜在联系，以及复杂的非线性动力学。我们详细介绍了通过动态系统理论的镜头在步行液滴领域的进展，并概述了可以使用动态系统分析回答的问题。文章首先讨论了流体实验的历史及其与量子实验的相似之处。在这个物理背景下，我们描绘了各种步行液滴系统的物理模型中存在的复杂的非线性动力学的肖像。当然，这些调查导致更多的问题，和一些未解决的问题，必将受益于严格的动力系统分析概述。

英文摘要：

Over the past decade the study of fluidic droplets bouncing and skipping (or ``walking'') on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connections with quantum mechanics, and complex nonlinear dynamics. We detail advancements in the field of walking droplets through the lens of Dynamical Systems Theory, and outline questions that can be answered using dynamical systems analysis. The article begins by discussing the history of the fluidic experiments and their resemblance to quantum experiments. With this physics backdrop, we paint a portrait of the complex nonlinear dynamics present in physical models of various walking droplet systems. Naturally, these investigations lead to even more questions, and some unsolved problems that are bound to benefit from rigorous Dynamical Systems Analysis are outlined.

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