A review of the theoretical modeling of walking droplets: Toward a generalized pilot-wave framework
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Description
Published version
Size
8.33 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s) • •
Turton, S. E.
Couchman, M. M. P.
Bush, J. W. M.
Date Issued
September 2018
Journal
Chaos : an interdisciplinary journal of nonlinear science : a publication of the American Institute of Physics.
Publisher
American Institute of Physics
Citation
Turton, S. E. et al. "A review of the theoretical modeling of walking droplets: Toward a generalized pilot-wave framework." Chaos: An Interdisciplinary Journal of Nonlinear Science 28, 9 (September 2018): 096111 © 2018 Author(s).
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.5032221