Smoluchowski's equation for cluster exogenous growth

Details Smoluchowski's equation for cluster exogenous growth Smoluchowski's equation for cluster exogenous growth

1997-05-27

arxiv.org/abs/cond-mat/9705276v1

Physics

Condensed Matter

Statistical Mechanics

Revtex, 4 pages (multicol.sty), 1 eps figures (uses epsfig)

Scientific paper

10.1209/epl/i1997-00454-4

We introduce an extended Smoluchowski equation describing coagulation processes for which clusters of mass s grow between collisions with $ds/dt=As^\beta$. 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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