Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits
Author(s)
Labousse, M.; Oza, Anand Uttam; Perrard, S.; Bush, John W. M.
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We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady orbital solutions. Predictions for the dependence of the orbital radius and frequency on the strength of the radial harmonic force field agree favorably with experimental data. The orbital quantization is rationalized through an analysis of the orbital solutions. The predicted dependence of the orbital stability on system parameters is compared with experimental data and the limitations of the model are discussed.
Date issued
2016-03Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Physical Review E
Publisher
American Physical Society
Citation
Labousse, M., A. U. Oza, S. Perrard, and J. W. M. Bush. “Pilot-Wave Dynamics in a Harmonic Potential: Quantization and Stability of Circular Orbits.” Phys. Rev. E 93, no. 3 (March 23, 2016). © 2016 American Physical Society
Version: Final published version
ISSN
2470-0045
2470-0053