Surface segregation of conformationally asymmetric polymer blends

Details Surface segregation of conformationally asymmetric polymer blends Surface segregation of conformationally asymmetric polymer blends

2005-09-26

arxiv.org/abs/cond-mat/0509639v2

Phys. Rev. E 73, 031801 (2006)

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 7 figures, revtex4

Scientific paper

10.1103/PhysRevE.73.031801

We have generalized the Edwards' method of collective description of dense polymer systems in terms of effective potentials to polymer blends in the presence of a surface. With this method we have studied conformationally asymmetric athermic polymer blends in the presence of a hard wall to the first order in effective potentials. For polymers with the same gyration radius $R_g$ but different statistical segment lengths $l_{A}$ and $l_{B}$ the excess concentration of stiffer polymers at the surface is derived as $% \delta \rho _{A}(z=0)\sim (l_{B}^{-2}-l_{A}^{-2}){\ln (}R_{g}^{2}/l_{c}^{2}{)%}$, where $l_{c}$ is a local length below of which the incompressibility of the polymer blend is violated. For polymer blends differing only in degrees of polymerization the shorter polymer enriches the wall.

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