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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

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,…

Fluid Dynamics · Physics 2020-11-18 Aminur Rahman , Denis Blackmore

The present study deals with the numerical as well as asymptotic analysis of the electrohydrodynamic interaction between two deformable droplets in a confined shear flow. Considering both the phases as leaky dielectric, we have performed…

Fluid Dynamics · Physics 2019-03-27 Somnath Santra , Diptendu Sen , Sayan Das , Suman Chakraborty

On the surface of a vibrating liquid bath, instead of coalescing, a drop will continually bounce on a thin film of air between the drop and the free surface, giving rise to rich chaotic dynamics and quantum analog behavior. However,…

Fluid Dynamics · Physics 2025-08-18 Lebo Molefe , Tomas Fullana , François Gallaire , John M. Kolinski

In this paper, we present a theoretical, experimental, and numerical study of the dynamics of cavitation bubbles inside a droplet suspended in another host fluid. On the theoretical side, we provided a modified Rayleigh collapse time and…

Fluid Dynamics · Physics 2024-01-02 Shuai Li , Zhesheng Zhao , A-Man Zhang , Rui Han

When a liquid droplet impacts a vibrated micro-structured surface with asymmetric topology, the liquids perform a horizontal motion during its bouncing. The moving effect is observed when the liquid is in contact with a low surface energy…

Fluid Dynamics · Physics 2020-09-10 Dinh-Tuan Phan , Hao Yu , Tuan Tran

We explore the hydrodynamic analogues of quantum wave-particle duality in the context of a bouncing droplet system which we model in such a way as to promote comparisons to the de Broglie-Bohm interpretation of quantum mechanics. Through…

Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves. This hydrodynamic lattice is driven by the external…

Fluid Dynamics · Physics 2020-10-20 Stuart J. Thomson , Matthew Durey , Rodolfo R. Rosales

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

Inspired by bouncing drop experiments that revealed how macroscopic systems can exhibit wave-particle properties previously thought to be exclusive to quantum systems, we introduce here a new wave-particle system based on internal gravity…

Fluid Dynamics · Physics 2025-05-16 Simon Gsell , Patrice Le Gal

To explore and react to their environment, living micro-swimmers have developed sophisticated strategies for locomotion - in particular, motility with multiple gaits. To understand the physical principles associated with such a behavioural…

The Kapitza-Dirac effect is the diffraction of quantum particles by a standing wave of light. We here report an analogous phenomenon in pilot-wave hydrodynamics, wherein droplets walking across the surface of a vibrating liquid bath are…

In the field of microdroplet manipulation, optical tweezers have been used to form and grow droplets, to transport them, or to measure forces between droplet pairs. However, the exploration of out-of-equilibrium phenomena in optically…

In 2005, Couder, Protiere, Fort and Badouad showed that oil droplets bouncing on a vibrating tray of oil can display nonlocal interactions reminiscent of the particle-wave associations in quantum mechanics; in particular they can move,…

Quantum Physics · Physics 2014-01-20 Robert Brady , Ross Anderson

Bouncing walking droplets possess fascinating properties due to their peculiar wave/particule interaction. In order to study such walkers in a 1d system, we considered the case of one or more droplets in an annular cavity. We show that, in…

Fluid Dynamics · Physics 2015-11-04 B. Filoux , M. Hubert , N. Vandewalle

A macroscopic hydrodynamic system that couples a particle and a wave has recently renewed interest in the question as to what extent a classical system may reproduce quantum phenomena. Here we investigate single-particle diffraction with a…

Fluid Dynamics · Physics 2024-10-31 Giuseppe Pucci , Antoine Bellaigue , Alessia Cirimele , Giuseppe Ali , Anand U. Oza

A drop bouncing on a vertically-vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The…

Soft Condensed Matter · Physics 2023-05-25 Adrien Hélias , Matthieu Labousse

We develop a minimal hydrodynamic model, without an orientational order parameter, for assemblies of contractile swimmers encapsulated in a droplet of a binary-fluid emulsion. Our model uses two coupled scalar order parameters, $\phi$ and…

Soft Condensed Matter · Physics 2022-09-13 Nadia Bihari Padhan , Rahul Pandit

The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial electrohydrodynamics of a compound droplet, confined in between…

Fluid Dynamics · Physics 2018-08-14 Somnath Santra , Sayan Das , Suman Chakraborty

We investigate the ability of millimetric walking droplets to tunnel between spatially-structured cavities. By synthesizing experimental and theoretical analysis, we provide a comprehensive framework for droplet tunneling mechanics in three…

Mathematical Physics · Physics 2025-12-24 Akilan Sankaran , Diego Israel Chavez