Smoluchowski's equation for cluster exogenous growth
Statistical Mechanics
2009-10-30 v1
Abstract
We introduce 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
Cite
@article{arxiv.cond-mat/9705276,
title = {Smoluchowski's equation for cluster exogenous growth},
author = {Stephane Cueille and Clement Sire},
journal= {arXiv preprint arXiv:cond-mat/9705276},
year = {2009}
}
Comments
Revtex, 4 pages (multicol.sty), 1 eps figures (uses epsfig)