A review of the theoretical modeling of walking droplets: Toward a generalized pilot-wave framework

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 various simplifying assumptions, to describe droplets walking...

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Bibliographic Details
Main Authors: Turton, S. E. (Author), Couchman, M. M. P. (Author), Bush, J. W. M. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Institute of Physics, 2020-01-21T20:42:20Z.
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Online Access:Get fulltext
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100 1 0 |a Turton, S. E.  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
700 1 0 |a Couchman, M. M. P.  |e author 
700 1 0 |a Bush, J. W. M.  |e author 
245 0 0 |a A review of the theoretical modeling of walking droplets: Toward a generalized pilot-wave framework 
260 |b American Institute of Physics,   |c 2020-01-21T20:42:20Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/123504 
520 |a 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 various simplifying assumptions, to describe droplets walking on a vibrating fluid bath. Particular attention is given to detailing their successes and failures in various settings. Finally, we present a theoretical model that may be adopted to explore a more generalized pilot-wave framework capable of further extending the phenomenological range of classical pilot-wave systems beyond that achievable in the laboratory. 
520 |a National Science Foundation (U.S.) (Grant DMS-1614043) 
520 |a National Science Foundation (U.S.) (Grant CMMI-1727565) 
520 |a Natural Sciences and Engineering Research Council (Grant 502891) 
546 |a en 
655 7 |a Article 
773 |t Chaos : an interdisciplinary journal of nonlinear science : a publication of the American Institute of Physics.