Ju. Sommer et M. Daoud, ADSORPTION OF MULTIBLOCK COPOLYMERS AT INTERFACES BETWEEN SELECTIVE SOLVENTS - SINGLE-CHAIN PROPERTIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 905-920
We consider the configuration properties of a periodic multiblock copo
lymer made of a regular alternating succession of two monomer species
A and B near interfaces between two weakly selective solvents alpha an
d beta. Both solvents are assumed to be good, but their quality is sli
ghtly different for both monomer species: Solvent alpha is better for
A than for B, and vice versa. We map the problem into a corresponding
homopolymer adsorption problem by considering the individual AB-dibloc
k units as effective segments of a coarse-grained chain. The renormali
zed segments have an effective interaction with the solvent-solvent in
terface. This is calculated to second order in a perturbation expansio
n. We show that attraction of a single diblock by the interface is a s
econd-order effect. In the symmetric case the first-order contribution
vanishes and the interface is always attractive. The strength of the
effective attraction scales as (chi n)(2), where chi is the selectivit
y strength and n the length of an AB unit. When the interface potentia
l is not symmetric with respect to the block species, a first-order re
pulsive contribution appears. As a result we predict a discontinuous d
esorption transition for that case, controlled by the asymmetry. In ma
rked difference to the usual adsorption problem, the largest stable ad
sorption blob is of finite size.