TY - JOUR
T1 - Simulations of pilot-wave dynamics in a simple harmonic potential
AU - Kurianski, Kristin M.
AU - Oza, Anand U.
AU - Bush, John W.M.
N1 - Funding Information:
The authors gratefully acknowledge Matt Durey, Paul Milewski, and Ruben Rosales for valuable input. J.B. gratefully acknowledges the financial support of the NSF through Grants No. CMMI-1333242 and No. DMS-1614043. A.O. acknowledges the support of the NSF Mathematical Sciences Postdoctoral Research Fellowship, with the associated Grant No. DMS-1400934. K.K. acknowledges financial support from NSF Graduate Research Fellowship Primary Award No. 1122374.
Funding Information:
The authors gratefully acknowledge Matt Durey, Paul Milewski, and Ruben Rosales for valuable input. J.B. gratefully acknowledges the financial support of the NSF through Grants No. CMMI-1333242 and No. DMS-1614043. A.O. acknowledges the support of the NSF Mathematical Sciences Postdoctoral Research Fellowship, with the associated Grant No. DMS-1400934. K.K. acknowledges financial support from NSF Graduate Research Fellowship Primary Award No. 1122374.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/11
Y1 - 2017/11
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevFluids.2.113602
DO - 10.1103/PhysRevFluids.2.113602
M3 - Article
AN - SCOPUS:85038442361
SN - 2469-990X
VL - 2
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 11
M1 - 113602
ER -