Diffusive growth of a polymer layer by in sity polymerization

Details Diffusive growth of a polymer layer by in sity polymerization Diffusive growth of a polymer layer by in sity polymerization

1998-05-20

arxiv.org/abs/cond-mat/9805248v1

Europhysics Letters, 33 (5) pp.397-402 (1996)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 .eps figures, LATEX

Scientific paper

10.1209/epl/i1996-00347-0

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.

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