Diffusive growth of a polymer layer by in sity polymerization
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Materials Science
Abstract
We consider the growth of a polymer layer on a flat surface in a good solvent by in-situ polymerization. This is viewed as a modified form of diffusion-limited aggregation without branching. We predict theoretically the formation of a pseudo-brush with density rhog(z) \propto z^{-2/3} and characteristic height \propto t^{3}. These results are found by combining a mean-field treatment of the diffusive growth (marginally valid in three dimensions) with a scaling theory (Flory exponent nu =3/5) of the growing polymers. We confirm their validity by Monte Carlo simulations.
Cite
@article{arxiv.cond-mat/9805248,
title = {Diffusive growth of a polymer layer by in sity polymerization},
author = {J. P. Wittmer and M. E. Cates and A. Johner and M. S. Turner},
journal= {arXiv preprint arXiv:cond-mat/9805248},
year = {2009}
}
Comments
7 pages, 4 .eps figures, LATEX