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In the last fifteen years, the classical study of hydrodynamical Faraday waves has attracted renewed interest since the discovery of walking droplets and the more general discovery of hydrodynamical pilot wave models. Notwithstanding that... more
Tree squirrels frequently survive very large falls because their terminal velocity is low and their body plan dissipates impact energy efficiently. Using first-principles fluid dynamics and classic biological scaling, we formalize this... more
experimentally and numerically study one-dimensional, temporally forced wave patterns and analyze trie transition from unforced traveling waves to forced standing waves when a source defect is present in the system. Dur control pararneter... more
MIT, JOHN W. M. BUSH, Department of Mathematics, MIT -A decade ago, Yves Couder and Emmanuel Fort discovered a wave-particle association on the macroscopic scale: a drop can bounce indefinitely on a vibrating bath of the same liquid and... more
Hydrodynamic quantum analogues: droplets walking on the impossible pilot wave 1 JOHN BUSH, Department of Mathematics, MIT -Yves Couder and coworkers have demonstrated that droplets walking on a vibrating fluid bath exhibit several... more
It has recently been demonstrated that droplets walking on a vibrating fluid bath exhibit several features previously thought to be peculiar to the microscopic realm. The walker, consisting of a droplet plus its guiding wavefield, is a... more
We present the results of a combined experimental and theoretical investigation of millimetric droplets bouncing on a vertically vibrating fluid bath. We first characterize the system experimentally, deducing the dependence of the droplet... more
A classical particle in a harmonic potential gives rise to a continuous energy spectra, whereas the corresponding quantum particle exhibits countably infinite quantized energy levels. In recent years, classical non-Markovian wave-particle... more
In 2005, Couder, Protière, 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,... more
Submitted for the DFD19 Meeting of The American Physical Society The Stability and Dynamics of Bouncing Droplet Rings 1 MILES COUCHMAN, JOHN BUSH, Massachusetts Institute of Technology-Millimetric droplets bouncing on the surface of a... more
Multiple droplets bouncing on the surface of a vibrating fluid bath interact through the waves generated at each bounce. We here present the results of an experimental study of the behavior of two interacting droplets. As the driving... more
Submitted for the DFD15 Meeting of The American Physical Society Orbiting pairs of walking droplets 1 EMMANUEL SIEFERT, JOHN W.M. BUSH, MIT, ANAND OZA, Courant Institute, NYU-Droplets may selfpropel on the surface of a vibrating fluid... more
Submitted for the DFD17 Meeting of The American Physical Society The Onset of Motion of Bouncing Droplet Pairs 1 MILES COUCH-MAN, RUBEN ROSALES, JOHN BUSH, MIT-Multiple droplets bouncing on a vibrating fluid bath interact through the... more
Submitted for the DFD19 Meeting of The American Physical Society Dynamics and stability of confined interfacial droplets STUART THOMSON, MATTHEW DUREY, MILES COUCHMAN, RUBEN ROSALES, JOHN BUSH, Massachusetts Institute of... more
Submitted for the DFD15 Meeting of The American Physical Society The interaction of a walking droplet and a pillar 1 JOHN BUSH, MIT, DANIEL HARRIS, UNC, PIERRE-THOMAS BRUN, MIT-Droplets may bounce on the surface of a vibrating fluid bath,... more
Submitted for the DFD19 Meeting of The American Physical Society Velocity Oscillations of a Walking Droplet 1 SAM TURTON, MATTHEW DUREY, JOHN BUSH, Massachusetts Institute of Technology-Couder et al. (2005) demonstrated that a droplet... more
A liquid bath subject to a vertical vibration becomes unstable to standing surface waves at a critical vibrational acceleration known as the Faraday threshold. We examine the behavior of a millimetric droplet bouncing on the surface of a... more
Submitted for the DFD12 Meeting of The American Physical Society Bouncing and walking droplets JAN MOLACEK, JOHN BUSH, Massachusetts Institute of Technology-Motivated by the hydrodynamic quantum analogue system of Yves Couder, we examine... more
The collision of water and elastic liquid drops with a thin cylinder (thread) is studied. The droplet flight trajectory and the cylinder axis are mutually perpendicular. Attention is focused on the difference between collisions of water... more
Submitted for the DFD14 Meeting of The American Physical Society Hydrodynamic Spin States ANAND OZA, RODOLFO ROSALES, JOHN BUSH, Massachusetts Institute of Technology-We present the results of a theoretical investigation of droplets... more
Linear stability of the free surface of a thin sheet of a viscous fluid on a vertically vibrated rigid plate, in the presence of a uniform and slow rigid body rotation about the vertical axis, is presented. The Coriolis force delays the... more
A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantum-like features... more
A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantumlike features... more
Submitted for the DFD17 Meeting of The American Physical Society Modeling waves forced by a drop bouncing on a vibrating bath 1 SAM TURTON, RUBEN ROSALES, JOHN BUSH, MIT-We study the wavefield generated by a droplet bouncing on a bath of... more
We present the results of a theoretical investigation of the energetics of droplets bouncing on the surface of a vertically vibrating bath. We first assess the relative magnitudes of the kinetic, surface and gravitational potential... more
We present the results of a theoretical investigation of a dynamical system consisting of a particle self-propelling through a resonant interaction with its own quasi-monochromatic pilot-wave field. We rationalize two distinct mechanisms,... more
We present the results of an experimental study of the standing waves produced on the surface of a vertically shaken fluid bath just above the Faraday threshold, when a row of equally spaced pillars protrudes from the surface. When the... more
We present the results of an integrated experimental and theoretical investigation of the vertical motion of millimetric droplets bouncing on a vibrating fluid bath. We characterize experimentally the dependence of the phase of impact and... more
Hydrodynamic quantum analogs is a nascent field initiated in 2005 by the discovery of a hydrodynamic pilot-wave system [Y. Couder, S. Protière, E. Fort, and A. Boudaoud, Nature 437, 208 (2005)]. The system consists of a millimetric... more
Millimetric droplets may be levitated on the surface of a vibrating fluid bath. Eddi et al. [Europhys. Lett. 82, 44001 (2008)] demonstrated that when a pair of levitating drops of unequal size are placed nearby, they interact through... more
The walking droplet system has extended the range of classical systems to include several features previously thought to be exclusive to quantum systems. We review the hierarchy of analytic models that have been developed, on the basis of... more
A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant interaction with its own wave field. This system represents the first known example of a pilot-wave system of the form... more
We present a non-standard eigenvalue problem that arises in the linear stability of a three-layer Hele-Shaw model of enhanced oil recovery. A nonlinear transformation is introduced which allows reformulation of the non-standard eigenvalue... more
It is well known that repeated projective measurements can either speed up (the Zeno effect) or slow down (the anti-Zeno effect) quantum evolution. Until now, however, studies of these effects for a two-level system interacting strongly... more
Small hydrophobic particles impacting a water surface can rebound completely from the interface (Lee & Kim, Langmuir, 2008). In the present work, we focus on the bouncing dynamics of millimetric hydrophobic spheres impacting the surface... more
A millimetric droplet of silicone oil may bounce and self-propel on the free surface of a vertically vibrating fluid bath due to the droplet's interaction with its accompanying Faraday wave field. This hydrodynamic pilot-wave system... more
We present a model for capillary-scale objects that bounce on a fluid bath as they also translate horizontally. The rebounding objects are hydrophobic spheres that impact the interface of a bath of incompressible fluid whose motion is... more