Faraday pilot-wave dynamics: modelling and computation
Keyword(s):
A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant interaction with its own wave field. This system represents the first known example of a pilot-wave system of the form envisaged by Louis de Broglie in his double-solution pilot-wave theory. We here develop a fluid model of pilot-wave hydrodynamics by coupling recent models of the droplet’s bouncing dynamics with a more realistic model of weakly viscous quasi-potential wave generation and evolution. The resulting model is the first to capture a number of features reported in experiment, including the rapid transient wave generated during impact, the Doppler effect and walker–walker interactions.
1995 ◽
Vol 755
(1)
◽
pp. 898-899
◽
Keyword(s):
2018 ◽
Vol 376
(2134)
◽
pp. 20170453
◽
Keyword(s):