Smoluchowski's equation for cluster exogenous growth

Abstract

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

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

References in corpus (2)

• Borderline Aggregation Kinetics in ``Dry'' and ``Wet'' Environments
• Nontrivial Polydispersity Exponents in Aggregation Models

Cited by in corpus (4)

• Droplets nucleation, and Smoluchowski's equation with growth and injection of particles
• Effects of cluster diffusion on the island density and size distribution in submonolayer island growth
• Condensation-Driven Aggregation in One Dimension
• Emergence of fractal behavior in condensation-driven aggregation