Spontaneous rotation by symmetry breaking of a capillary wave source

ORAL

Abstract

When a millimetric object is deposited onto the interface of a vibrating liquid bath, the floating body generates an extended capillary wavefield with associated surface streaming flows. It has recently been shown that chiral objects placed at the interface are able to steadily rotate in a determined direction via an imbalance of wave stresses as a consequence of their imposed geometric asymmetry. Here, we consider symmetric (achiral) objects which spontaneously begin to rotate in either direction. This symmetry breaking phenomenon occurs above a critical driving acceleration, with this threshold depending on the driving frequency, fluid parameters, and wave source geometry. We characterize the dependence of the steady rotation speed on the experimental parameters, and rationalize our observations with a simple mathematical model drawing inspiration from other physical systems that exhibit spontaneous symmetry breaking.

** B. Dhote is supported by the Ecole Normale Supérieure. J.-W.B. is supported by the DoD through the NDSEG Fellowship Program. This work is partially supported by the ONR (ONR N00014-21-1-2816).

Presenters

  • Basile Dhote

    • Université Paris Saclay

Authors

  • Basile Dhote

    • Université Paris Saclay
  • Jack-William Barotta

    • Brown University
  • Eli Silver

    • Brown University
  • Daniel M Harris

    • Brown University
    • School of Engineering, Brown University, USA