| Issue |
Europhys. Lett.
Volume 40, Number 3, November I 1997
|
|
|---|---|---|
| Page(s) | 239 - 244 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00454-4 | |
| Published online | 01 September 2002 | |
Smoluchowski's equation for cluster exogenous growth
Laboratoire de Physique Quantique (UMR C5626 du CNRS),
Université Paul Sabatier, 31062 Toulouse Cedex, France
Received:
9
June
1997
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
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