论文标题
通过动态系统的镜头行走液滴
Walking Droplets Through the Lens of Dynamical Systems
论文作者
论文摘要
在过去的十年中,在振动流体浴场上弹跳和跳过(或跳过``行走'')的流体液滴的研究已从有趣的实验转变为充满活力的研究领域。该领域表现出具有挑战性的流体问题,与量子力学的潜在连接以及复杂的非线性动力学。我们详细介绍了通过动力学系统理论的镜头步行液滴领域的进步,并概述了可以使用动态系统分析来回答的问题。本文首先讨论流体实验的历史及其与量子实验的相似之处。在这种物理背景下,我们描绘了各种步行液滴系统物理模型中存在的复杂非线性动力学的肖像。自然,这些调查导致了更多的问题,并且概述了一些未解决的问题,这些问题必将受益于严格的动态系统分析。
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.