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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

We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of this system, which allows for the straightforward application…

Fluid Dynamics · Physics 2018-12-24 Nazmi Burak Budanur , Marc Fleury

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

It is known from quantum mechanics that particles are associated with wave functions, and that the probability of observing a particle at some future location is proportional to the squared modulus of the amplitude of its wave function.…

History and Philosophy of Physics · Physics 2022-10-11 Stuart Heinrich

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results,…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the configurations of locked solutions (equilibria) and how the…

Chaotic Dynamics · Physics 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

We present a theoretical model of matter-wave diffraction through a material nanostructure. This model is based on the numerical solution of the time-dependent Schr{\"o}dinger equation, which goes beyond the standard semi-classical…

We present an analytical calculation of the hydrodynamic interaction between two spherical particles near an elastic interface such as a cell membrane. The theory predicts the frequency dependent self- and pair-mobilities accounting for the…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Stephan Gekle

Quantum plasma physics is a rapidly evolving research field with a very inter-disciplinary scope of potential applications, ranging from nano-scale science in condensed matter to the vast scales of astrophysical objects. The theoretical…

Plasma Physics · Physics 2013-10-02 Shabbir A. Khan , Michael Bonitz

Refraction, interference, and diffraction serve as distinguishing features for wave-like phenomena. While they are normally associated only with a purely spatial wave-propagation pattern, analogs to interference and diffraction involving…

Quantum Physics · Physics 2011-05-17 M. Jaaskelainen , M. Lombard , U. Zuelicke

We investigate the behavior of a one-dimensional diatomic fluid under a shock wave excitation. We find that the properties of the resulting shock wave are in striking contrast with those predicted by hydrodynamic and kinetic approaches,…

Statistical Mechanics · Physics 2009-11-11 Pablo I. Hurtado

Recent advances in manipulating droplet emissions from a thin vibrating fluid using submerged cavities, have introduced an innovative platform for generating hydrodynamic analogs of quantum and optical systems. This platform unlocks unique…

Fluid Dynamics · Physics 2024-08-06 Konstantinos Papatryfonos , Jemma W. Schroder , Valeri Frumkin

We investigate a laser model for a resonant system of photons and ion cluster-solvated rotating water molecules in which ions in the cluster are identical and have very low, non-relativistic velocities and direction of motion parallel to a…

Quantum Physics · Physics 2017-03-08 Eiji Konishi

According to the wave-particle duality (WPD), quantum systems show both particle- and wave-like behavior, and cannot be described using only one of these classical concepts. Identifying quantum features that cannot be reproduced by any…

Quantum Physics · Physics 2024-01-29 Marcelo Janovitch , Matteo Brunelli , Patrick P. Potts

We develop a data-driven characterization of the pilot-wave hydrodynamic system in which a bouncing droplet self-propels along the surface of a vibrating bath. We consider drop motion in a confined one-dimensional geometry, and apply the…

Fluid Dynamics · Physics 2022-10-14 J. Nathan Kutz , Andre Nachbin , Peter J. Baddoo , John W. M. Bush

The de Broglie - Bohm "pilot-wave" theory replaces the paradoxical wave-particle duality of ordinary quantum theory with a more mundane and literal kind of duality: each individual photon or electron comprises a quantum wave (evolving in…

Quantum Physics · Physics 2015-06-11 Travis Norsen

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

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

Soft Condensed Matter · Physics 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

The wave-particle duality has been said to contain the entire mystery of quantum mechanics. Many delayed-choice experiments have been performed to further understand the wave-particle duality. Here, we reveal some flaws in the known…

General Physics · Physics 2017-11-13 Shan-Liang Liu

We consider hydrodynamic scaling limits for a class of reversible interacting particle systems, which includes the symmetric simple exclusion process and certain zero-range processes. We study a (non-quadratic) microscopic action functional…

Mathematical Physics · Physics 2018-12-19 Marcus Kaiser , Robert L. Jack , Johannes Zimmer