Abstract
The statistical distribution of coagulating droplets is studied assuming that they form a Markovian system in continuous time. Only the total number density is studied, but the resulting probability balance equation can be solved exactly by means of generating function techniques. Thus for the first time there is available an exact solution showing how the probability evolves as time proceeds. The variance changes from zero at the initial time through a maximum and back to zero as time tends to infinity: this is consistent with the deterministic initial and endpoint distribution functions. The accuracy of a closure scheme based upon quasi-normality is studied and shown to be acceptable for the initial stages of evolution when the values of the particle density are large.
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