Simulations of pilot-wave dynamics in a simple harmonic potential
Name
PhysRevFluids.2.113602.pdf
Size
2.41 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Kurianski, Kristin M
Oza, Anand Uttam
Bush, John W. M.
Date Issued
November 2017
Journal
Physical Review Fluids
Publisher
American Physical Society
Citation
Kurianski, Kristin M. "Simulations of pilot-wave dynamics in a simple harmonic potential." Physical Review Fluids, 2, 11 (November 2017): 113602 © 2017 American Physical Society
Version
Final published version
Abstract
We present the results of a numerical investigation of droplets walking in a harmonic potential on a vibrating fluid bath. The droplet's trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. We produce a regime diagram that summarizes the dependence of the walker's behavior on the system parameters for a droplet of fixed size. At relatively low vibrational forcing, a number of periodic and quasiperiodic trajectories emerge. In the limit of large vibrational forcing, the walker's trajectory becomes chaotic, but the resulting trajectories can be decomposed into portions of unstable quasiperiodic states.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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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/10.1103/PhysRevFluids.2.113602
