Smoluchowski's equation for cluster exogenous growth
Laboratoire de Physique Quantique (UMR C5626 du CNRS),
Université Paul Sabatier, 31062 Toulouse Cedex, France
Accepted: 15 September 1997
We consider an extended Smoluchowski equation describing coagulation processes for which clusters of mass s grow between collisions with . 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.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 82.20.Mj – Nonequilibrium kinetics / 64.60.Qb – Nucleation
© EDP Sciences, 1997