Characterization of free particle dynamics in an idealized pilot-wave system

Scilight ◽  
2021 ◽  
Vol 2021 (11) ◽  
pp. 111112
Author(s):  
Meeri Kim
Keyword(s):  
Free Particle ◽  
Particle Dynamics ◽  
Wave System ◽  
Pilot Wave

Free particle dynamics of negative ions in the mechanical vacuum of He II

1982 ◽  
Vol 89 (8) ◽  
pp. 414-416 ◽  
Author(s):  
T. Ellis ◽  
P.V.E. McClintock
Keyword(s):  
Free Particle ◽  
Negative Ions ◽  
Particle Dynamics

scholarly journals Klein tunneling in carbon nanostructures: A free-particle dynamics in disguise

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Vít Jakubský ◽  
Luis-Miguel Nieto ◽  
Mikhail S. Plyushchay
Keyword(s):  
Carbon Nanostructures ◽  
Free Particle ◽  
Particle Dynamics ◽  
Klein Tunneling

scholarly journals Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Loïc Tadrist ◽  
Tristan Gilet ◽  
Peter Schlagheck ◽  
John W. M. Bush
Keyword(s):  
Wave System ◽  
Pilot Wave

scholarly journals A model for Faraday pilot waves over variable topography

2016 ◽  
Vol 811 ◽  
pp. 51-66 ◽  
Author(s):  
Luiz M. Faria
Keyword(s):  
Hydrodynamic Model ◽  
Specular Reflection ◽  
Quantum Systems ◽  
Reduced Model ◽  
Wave System ◽  
Pilot Wave ◽  
The Waves ◽  
Variable Topography

Couder et al. (Nature, vol. 437 (7056), 2005, p. 208) discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets synchronize with their Faraday wavefield, creating a macroscopic pilot-wave system. In this paper we exploit the fact that the waves generated are nearly monochromatic and propose a hydrodynamic model capable of quantitatively capturing the interaction between bouncing drops and a variable topography. We show that our reduced model is able to reproduce some important experiments involving the drop–topography interaction, such as non-specular reflection and single-slit diffraction.

scholarly journals BRST SYMMETRIES IN FREE PARTICLE SYSTEM ON TORIC GEOMETRY

2005 ◽  
Vol 20 (21) ◽  
pp. 1577-1588 ◽  
Author(s):  
SOON-TAE HONG
Keyword(s):  
Energy Spectrum ◽  
Particle System ◽  
Free Particle ◽  
Particle Dynamics ◽  
Toric Geometry ◽  
Symplectic Structures

We study a free particle system residing on a torus to investigate its Becci–Rouet–Stora–Tyutin symmetries associated with its Stückelberg coordinates, ghosts and anti-ghosts. By exploiting zeibein frame on the toric geometry, we evaluate energy spectrum of the system to describe the particle dynamics. We also investigate symplectic structures involved in the free particle system on the torus.

scholarly journals Faraday wave–droplet dynamics: discrete-time analysis

2017 ◽  
Vol 821 ◽  
pp. 296-329 ◽  
Author(s):  
Matthew Durey ◽  
Paul A. Milewski
Keyword(s):  
Statistical Analysis ◽  
Fixed Points ◽  
Discrete Time ◽  
First Principles ◽  
Fluid Model ◽  
Wave System ◽  
Time Analysis ◽  
Droplet Dynamics ◽  
Pilot Wave ◽  
The Stability

A droplet may ‘walk’ across the surface of a vertically vibrating bath of the same fluid, due to the propulsive interaction with its wave field. This hydrodynamic pilot-wave system exhibits many dynamics previously believed to exist only in the quantum realm. Starting from first principles, we derive a discrete-time fluid model, whereby the bath–droplet interactions are modelled as instantaneous. By analysing the stability of the fixed points of the system, we explain the dynamics of a walking droplet and capture the quantisations for multiple-droplet interactions. Circular orbits in a harmonic potential are studied, and a double quantisation of chaotic trajectories is obtained through systematic statistical analysis.

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