TY - JOUR
T1 - Pilot-wave dynamics in a harmonic potential
T2 - Quantization and stability of circular orbits
AU - Labousse, M.
AU - Oza, A. U.
AU - Perrard, S.
AU - Bush, J. W.M.
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/3/23
Y1 - 2016/3/23
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.93.033122
DO - 10.1103/PhysRevE.93.033122
M3 - Article
AN - SCOPUS:84962359577
SN - 1063-651X
VL - 93
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
M1 - 033122
ER -