We present a numerical study of two-droplet pair correlations for in-phase
droplets walking on a vibrating bath. Two such walkers are launched towards a
common origin. As they approach, their carrier waves may overlap and the
droplets have a non-zero probability of forming a two-droplet bound state. The
likelihood of such pairing is quantified by measuring the probability of
finding the droplets in a bound state at late times. Three generic types of
two-droplet correlations are observed: promenading, orbiting and chasing pair
of walkers. For certain parameters, the droplets may become correlated for
certain initial path differences and remain uncorrelated for others, while in
other cases the droplets may never produce droplet pairs. These observations
pave the way for further studies of strongly correlated many-droplet behaviors
in the hydrodynamical quantum analogs of bouncing and walking droplets.Comment: 8 pages, 5 figure
