= Solution
A broad initial <cloud-droplet size distribution> can be seeded by giant or unusually soluble <cloud condensation nuclei>, producing a minority of larger droplets before gravitational collection becomes efficient. Variable supersaturation histories, entrainment and mixing can broaden the distribution relative to a perfectly homogeneous monodisperse model. Turbulent relative motion and preferential concentration can increase encounters, and rare successful collisions can create unusually rapid stochastic collectors. These mechanisms can work together; a single deterministic condensational law applied equally to identical droplets cannot create the initial differential fall speeds by itself. For warm rain, the subsequent amplification is liquid <collision-coalescence>, distinct from ice-phase precipitation mechanisms.
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