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Related papers: Emergence of superwalking droplets

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A new class of walking droplets, coined superwalkers, has been observed when a bath of silicone oil is vibrated simultaneously at a given frequency and its subharmonic tone with a relative phase difference between them~[1]. In this paper,…

Fluid Dynamics · Physics 2022-02-25 Rahil N. Valani , Tapio P. Simula , Anja C. Slim

Vertically vibrating a liquid bath at two frequencies, $f$ and $f/2$, having a relative phase difference $\Delta\phi_0$ can give rise to self-propelled superwalking droplets on the liquid surface. We have numerically investigated such…

Fluid Dynamics · Physics 2021-04-21 Rahil N. Valani , Anja C. Slim , Tapio P. Simula

A \textit{walker} is a droplet of liquid that self-propels on the free surface of an oscillating bath of the same liquid through feedback between the droplet and its wave field. We have studied walking droplets in the presence of two…

Fluid Dynamics · Physics 2019-07-24 Rahil N. Valani , Anja C. Slim , Tapio Simula

Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially understood. In particular, in a variety of experiments, a robust…

Fluid Dynamics · Physics 2026-01-28 Skyler Mao , David Darrow

Bouncing droplets on a vibrating fluid bath can exhibit wave-particle behavior, such as being propelled by interacting with its own wave field. These droplets seem to walk across the bath, and thus are dubbed walkers. Experiments have shown…

Chaotic Dynamics · Physics 2016-08-24 Aminur Rahman , Denis Blackmore

We study the phenomenon of the "walking droplet", by means of numerical fluid dynamics simulations using the Smoothed Particle Hydrodynamics numerical method. This phenomenon occurs when a millimetric drop is released on the surface of an…

Fluid Dynamics · Physics 2017-08-17 Diego Molteni , Enrico Vitanza , Onofrio Rosario Battaglia

Droplets bouncing on a vibrated liquid bath open ways to methods of manipulating droplets, creating double emulsion and performing pilot wave model experiments. In this work, we focus on the role of the droplet deformations in the vertical…

Fluid Dynamics · Physics 2015-06-12 Denis Terwagne , François Ludewig , Nicolas Vandewalle , Stéphane Dorbolo

Pilot-wave hydrodynamics concerns the dynamics of 'walkers,' droplets walking on a vibrating bath, and has provided the basis for the burgeoning field of hydrodynamic quantum analogs. We here explore a theoretical model of pilot-wave…

Fluid Dynamics · Physics 2025-01-22 Bauyrzhan K. Primkulov , Davis J. Evans , Joel B. Been , John W. M. Bush

The interaction of 'walking droplets' and capillary waves in a weakly subcritical Faraday wave experiment has been studied as a hydrodynamic analog to Bohmian quantum mechanics (see "Hydrodynamic Quantum Analogs", J. Bush and A. Oza, Rep.…

Fluid Dynamics · Physics 2025-12-02 Emily Dunn , Bavand Keshavarz , Earl Dowell

A droplet bouncing on the surface of a vibrating liquid bath can move horizontally guided by the wave it produces on impacting the bath. The wave itself is modified by the environment, and thus the interactions of the moving droplet with…

Fluid Dynamics · Physics 2019-07-19 Rahil N. Valani , Anja C. Slim

We report a new type of fluid-based driven dissipative oscillator system consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath and bound within an annular ring. We characterize the system…

Soft Condensed Matter · Physics 2020-10-27 Stuart J. Thomson , Miles M. P. Couchman , John W. M. Bush

A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally, guided by the waves it generates on each impact. This results in a self-propelled classical particle-wave entity. By using a one-dimensional…

Fluid Dynamics · Physics 2021-07-14 Rahil N. Valani , Anja C. Slim , David M. Paganin , Tapio P. Simula , Theodore Vo

A walker is a fluid entity comprising a bouncing droplet coupled to the waves that it generates at the surface of a vibrated bath. Thanks to this coupling, walkers exhibit a series of wave-particle features formerly thought to be exclusive…

Fluid Dynamics · Physics 2018-08-01 Loic Tadrist , Jeong-Bo Shim , Tristan Gilet , Peter Schlagheck

We experimentally investigate the dynamics of synthetic active particles composed of gravitationally bouncing, superwalking droplets confined within an annular fluid bath. Driven by a topologically pumping dual-frequency waveform, the…

Fluid Dynamics · Physics 2025-12-19 Rudra Sekhri , Rahil N. Valani , Tapio Simula

Discrete dynamical models of walking droplets ("walkers") have allowed swift numerical experiments revealing heretofore unobserved quantum statistics and related behaviors in a classical hydrodynamic system. We present evidence that one…

Chaotic Dynamics · Physics 2023-11-06 George Zhang , Ivan C. Christov , Aminur Rahman

In recent years, Couder and collaborators have initiated a series of studies on walking droplets. Experimentally, they found that at frequencies and amplitudes close to the onset of Faraday waves, droplets on the surface of silicone oil can…

Chaotic Dynamics · Physics 2024-09-19 Chuan-Yu Hung , Ting-Heng Hsieh , Tzay-Ming Hong

When gently placing a droplet onto a vertically vibrated bath, a drop can bounce without coalescing. Upon increasing the forcing acceleration, the droplet is propelled by the wave it generates and becomes a walker with a well defined speed.…

Fluid Dynamics · Physics 2017-01-18 Boris Filoux , Maxime Hubert , Peter Schlagheck , Nicolas Vandewalle

The design of artificial microswimmers is often inspired by the strategies of natural microorganisms. Many of these creatures exploit the fact that elasticity breaks the time-reversal symmetry of motion at low Reynolds numbers, but this…

We present a deep-learning based tracking objects of interest in walking droplet and granular intruder experiments. In a typical walking droplet experiment, a liquid droplet, known as \textit{walker}, propels itself laterally on the free…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Erdi Kara , George Zhang , Joseph J. Williams , Gonzalo Ferrandez-Quinto , Leviticus J. Rhoden , Maximilian Kim , J. Nathan Kutz , Aminur Rahman

Deformed droplets are ubiquitous in various industrial applications, such as inkjet printing, lab-on-a-chip devices, and spray cooling, and can fundamentally affect the involved applications both favorably and unfavorably. Here, we employ…

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