Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

M. Labousse, A. U. Oza, S. Perrard, J. W.M. Bush

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number033122
JournalPhysical Review E
Volume93
Issue number3
DOIs
StatePublished - Mar 23 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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