  In two-dimensional random waves, phase singularities are point-like
dislocations with a behavior reminiscent of interacting particles. This --
qualitative -- consideration, stems from the spatial arrangement of these
entities, which finds its hallmark in a pair correlation reminiscent of
liquid-like system. Starting from their pair correlation function, we derive an
effective pair-interaction for phase singularities in random waves by using a
reverse Monte Carlo method. This study initiates a new approach for the
treatment of singularities in random waves and can be generalized to
topological defects in any system.
