# Emergence of superwalking droplets

@article{Valani2020EmergenceOS, title={Emergence of superwalking droplets}, author={Rahil N. Valani and John Dring and Tapio P. Simula and Anja Catharina Slim}, journal={Journal of Fluid Mechanics}, year={2020}, volume={906} }

Abstract A new class of self-propelled droplets, coined superwalkers, has been shown to emerge when a bath of silicone oil is vibrated simultaneously at a given frequency and its subharmonic tone with a relative phase difference between them (Valani et al., Phys. Rev. Lett., vol. 123, 2019, 024503). To understand the emergence of superwalking droplets, we explore their vertical and horizontal dynamics by extending previously established theoretical models for walkers driven by a single…

## 8 Citations

### Stop-and-go locomotion of superwalking droplets.

- PhysicsPhysical review. E
- 2021

The emergence of stop-and-go motion of droplets is predicted, consistent with experimental observations, and lays a foundation for further studies of dynamically driven droplets, whereby the droplet's motion may be guided by engineering arbitrary time-dependent phase difference functions.

### Unsteady dynamics of a classical particle-wave entity.

- PhysicsPhysical review. E
- 2021

The dynamical and statistical aspects of irregular walking are explored and an equivalence between the droplet dynamics and the Lorenz system is shown, as well as making connections with the Langevin equation and deterministic diffusion.

### Pseudo-laminar chaos from on-off intermittency

- Physics
- 2022

In ﬁnite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can ﬁnd diﬀusive trajectories, which share their appearance with that of laminar chaotic diﬀusion [Phys. Rev. Lett. 128,…

### Numerical Simulations of a Superwalking Droplet

- Physics
- 2022

Rahil N. Valani1,∗ Tapio P. Simula, and Anja C. Slim School of Physics and Astronomy, Monash University, Victoria 3800, Australia School of Mathematics, Monash University, Victoria 3800, Australia…

### Anomalous transport of a classical wave-particle entity in a tilted potential.

- PhysicsPhysical review. E
- 2022

A classical wave-particle entity in the form of a millimetric walking droplet can emerge on the free surface of a vertically vibrating liquid bath. Such wave-particle entities have been shown to…

### Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave-particle entity.

- PhysicsChaos
- 2022

Vertically vibrating a liquid bath can give rise to a self-propelled wave-particle entity on its free surface. The horizontal walking dynamics of this wave-particle entity can be described adequately…

### Oscillons, walking droplets, and skipping stones (an overview)

- Physics
- 2021

This article considers additional phenomena that complement the earlier topics addressed by Ibrahim [(Liquid Sloshing Dynamics: Theory and Applications. Cambridge University Press, Cambridge, 2005),…

### Faraday waves under perpendicular electric field and their application to the walking droplet phenomenon

- Physics
- 2021

Vertically oscillating fluid surfaces have been a subject extensively studied in the past, as well as surface instabilities produced by electrohydrodynamic waves in similar configurations. In the…

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