  Turbulence in growth of rain droplets and rain formation is studied under an
approximating particle system representing aggregation at the level of
individuals, depending on their volume and distance in space, of the
Smoluchowski Coagulation equation. A random field is introduced to model the
air flow interaction with the particles and it is proved that the empirical
density of the individual converges to solutions of limiting equation under
different setting for the random field of interaction. A brief numerical study
for the continuous density is proposed using the particles approach, to analyze
how noise can arise in such system and the effectiveness on rain formation.
