Smoluchowski's equation for cluster exogenous growth

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1997 EDP Sciences
, , Citation S. Cueille and C. Sire 1997 EPL 40 239 DOI 10.1209/epl/i1997-00454-4

0295-5075/40/3/239

Abstract

We consider an extended Smoluchowski equation describing coagulation processes for which clusters of mass s grow between collisions with dot s = 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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10.1209/epl/i1997-00454-4