A model for Faraday pilot waves over variable topography
Fluid Dynamics
2017-01-19 v1
Abstract
Couder and Fort discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets synchronize with their Faraday wavefield, creating a macroscopic pilot-wave system. In this paper we exploit the fact that the waves generated are nearly monochromatic and propose a hydrodynamic model capable of quantitatively capturing the interaction between bouncing drops and a variable topography. We show that our reduced model is able to reproduce some important experiments involving the drop-topography interaction, such as non-specular reflection and single-slit diffraction.
Keywords
Cite
@article{arxiv.1701.04932,
title = {A model for Faraday pilot waves over variable topography},
author = {Luiz M. Faria},
journal= {arXiv preprint arXiv:1701.04932},
year = {2017}
}