Statistics and models for Faraday pilot waves

Paul Milewski
Department of Mathematical Sciences, University of Bath
Faraday pilot waves are a newly discovered hydrodynamic structure that consists a bouncing droplet which creates, and is propelled by, a Faraday wave. These pilot waves can behave in extremely complex ways exhibiting a classical form of wave-particle duality, and result in dynamics mimicking quantum mechanics, including multiple quantisation and probabilistic particle distributions reminiscent of QM. I will show a simple surface wave-droplet fluid model derived from the fluid equations, that captures many of the features observed, and focus on rationalising the emergence of the statistics of complex states and on building models describing particle statistics.