Smoluchowski's equation for cluster exogenous growth
Stephane Cueille, Clement Sire
Abstract
We introduce an extended Smoluchowski equation describing coagulation processes for which clusters of mass s grow between collisions with ds/dt=Asβ. A physical example, dropwise condensation is provided, and its collision kernel K is derived. In the general case, the gelation criterion is determined. Exact solutions are found and scaling solutions are investigated. Finally we show how these results apply to nucleation of discs on a plane
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