Walking droplets in a circular corral: Quantisation and chaos

A millimetric liquid droplet may walk across the surface of a vibrating liquid bath through a resonant interaction with its self-generated wavefield. Such walking droplets, or "walkers," have attracted considerable recent interest because they exhibit certain features previously believed t...

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Bibliographic Details
Main Authors: Cristea-Platon, Tudor (Author), Saenz Hervias, Pedro Javier (Author), Bush, John W. M. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: AIP Publishing, 2019-11-26T20:43:39Z.
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Online Access:Get fulltext
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100 1 0 |a Cristea-Platon, Tudor  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
700 1 0 |a Saenz Hervias, Pedro Javier  |e author 
700 1 0 |a Bush, John W. M.  |e author 
245 0 0 |a Walking droplets in a circular corral: Quantisation and chaos 
260 |b AIP Publishing,   |c 2019-11-26T20:43:39Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/123094 
520 |a A millimetric liquid droplet may walk across the surface of a vibrating liquid bath through a resonant interaction with its self-generated wavefield. Such walking droplets, or "walkers," have attracted considerable recent interest because they exhibit certain features previously believed to be exclusive to the microscopic, quantum realm. In particular, the intricate motion of a walker confined to a closed geometry is known to give rise to a coherent wave-like statistical behavior similar to that of electrons confined to quantum corrals. Here, we examine experimentally the dynamics of a walker inside a circular corral. We first illustrate the emergence of a variety of stable dynamical states for relatively low vibrational accelerations, which lead to a double quantisation in angular momentum and orbital radius. We then characterise the system's transition to chaos for increasing vibrational acceleration and illustrate the resulting breakdown of the double quantisation. Finally, we discuss the similarities and differences between the dynamics and statistics of a walker inside a circular corral and that of a walker subject to a simple harmonic potential. 
520 |a National Science Foundation (Grant DMS-1614043) 
520 |a National Science Foundation (Grant CMMI-1727565) 
546 |a en 
655 7 |a Article 
773 |t Chaos