2020/11/09 by Aminur Rahman, Denis Blackmore
Engineering · Mathematics · Physics and Astronomy · #Dynamical systems theory #Field (mathematics) #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Fluidics #Lens (geology) #Micro and Nano Robotics #Nonlinear dynamical systems #Nonlinear system #Physical system #Quantum #math.DS #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1142/s0217984920300094
published as Mod. Phys. Lett. B (2020) · 19 pages, 12 figures
openalex publication_date 2020/11/09 · arxiv created 2020/11/14 · arxiv updated 2020/11/18 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
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 paper 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.