Recent experiments by two groups, Yves Couder (Paris) and John
Bush (MIT) have shown experimentally that droplets will bounce on the
surface of a vertically vibrated bath (instead of coalescing with it),
generating a Faraday-type wavefield at every bounce. From this state, a
pitchfork symmetry breaking bifurcation leads to a "walking" state whereby
the bouncing droplet is "guided" by the self-generated wavefield - the
droplet's pilot wave. Once this state is achieved a large array of
interesting dynamics ensues with surprising analogies to quantum
mechanical behaviour. We will present a coupled particle-fluid model that
can can be used simulate the dynamics of this problem. This is joint work
with John Bush, Andre Nachbin (IMPA) and Carlos Galeano (IMPA).