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We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum…

Fluid Dynamics · Physics 2010-01-13 A. D. Chepelianskii , M. Schindler , F. Chevy , E. Raphaël

Walking droplets are millimetric fluid drops that propel themselves across a vibrated liquid bath through interaction with their self-generated waves. They constitute classical active wave-particle entities and exhibit a range of…

Chaotic Dynamics · Physics 2026-02-06 Titir Mukherjee , Rahil N Valani , Soumitro Banerjee

When a floating body is internally or externally vibrated, its self-generated wavefield can lead to steady propulsion along the interface. In this article, we review several related and recently discovered systems that leverage this…

Fluid Dynamics · Physics 2025-09-09 Daniel M. Harris , Jack-William Barotta

Until recently, wave-particle duality has been thought of as quantum principle without a counterpart in classical physics. This belief was challenged after (i) finding that average dynamics of a classical particle in strong inhomogeneous…

Quantum Physics · Physics 2015-06-03 Alexander Y. Davydov

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

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

Self-propelled colloids (swimmers) in confining geometries follow trajectories determined by hydrodynamic interactions with the bounding surfaces. However, typically these interactions are ignored or truncated to lowest order. We…

Microswimmers, and among them aspirant microrobots, generally have to cope with flows where viscous forces are dominant, characterized by a low Reynolds number ($Re$). This implies constraints on the possible sequences of body motion, which…

Fluid Dynamics · Physics 2017-12-06 A. Djellouli , P. Marmottant , H. Djeridi , C. Quilliet , G. Coupier

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

The concept of walking wave is introduced from classical relativistic positions. One- and three-dimensional walking waves considered with their wave equations and dispersion equations. It is shown that wave characteristics (de Broglie's and…

General Physics · Physics 2012-05-03 A. V. Goryunov

The interaction of a buoyant plume with a plant canopy results in turbulent flow features distinct from those in a grassland environment. In this work, we model the turbulence dynamics of a buoyant plume in a homogeneous plant canopy with a…

Atmospheric and Oceanic Physics · Physics 2025-10-16 Ajinkya Desai , Antonio Quim Cervantes , Tirtha Banerjee

Undulatory locomotion is a means of self-propulsion that relies on the generation and propagation of waves along a body. As a mode of locomotion it is primitive and relatively simple, yet can be remarkably robust. No wonder then, that it is…

Biological Physics · Physics 2009-08-20 Netta Cohen , Jordan H. Boyle

We describe a simple mechanical system, a ball rolling along a specially-designed landscape, that mimics the dynamics of a well known phenomenon, the two-bounce resonance of solitary wave collisions, that has been seen in countless…

Chaotic Dynamics · Physics 2015-06-24 Roy H. Goodman , Aminur Rahman , Michael Bellanich , Catherine Morrision

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

When a horizontal resistive wire is heated up to the boiling point in a subcooled liquid bath, some vapor bubbles nucleate on its surface. Traditional nucleate boiling theory predicts that bubbles generated from active nucleate sites, grow…

Fluid Dynamics · Physics 2017-08-02 Alexis Duchesne , Hervé Caps

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

The self-propelled motion of microscopic bodies immersed in a fluid medium is studied using molecular dynamics simulation. The advantage of the atomistic approach is that the detailed level of description allows complete freedom in…

Soft Condensed Matter · Physics 2007-12-06 D. C. Rapaport

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

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…

Intuitively, slow droplets stick to a surface and faster droplets splash or bounce. However, recent work suggests that on non-wetting surfaces, whether microdroplets stick or bounce depends only on their size and fluid properties, but not…