merits. Although the segments of different types are of the same size (σ), they have
different long range attractions described by a square-well potential.
I ^aβ ɪf ɑ'aβ ≤ Г ≤ qz0"α∕3
<β{r) =
(4.45)
0 if r > yσcrz3
where yσaρ is the width of the potential, which is fixed at 7 = 1.2. If eaρ is positive,
segments a and в attract each other whereas if eaβ is negative, they repel each other.
The surface is a flat wall and the surface-segment interaction is also given by the
square-well potential,
½t(z) = <
(4.46)
0 otherwise
where z is the perpendicular distance from the surface. Again, if εα∏z is positive, the
surface attracts segment a whereas if εaw is negative, the surface repels segment a.
Figure 4.6a shows the density profiles of segments of type A and B of a symmetric
diblock copolymer “AAAABBBB” confined in a slit-like pore of width, H = 10σ. Like
segments, “A-A” and “B-B” attract each other with елл/кТ = l∙0 and евв/кТ = 0.5,
while “A-В” repel each other with елв/кТ = —0.5. The two surfaces preferentially
attract “A” with ewA∣kT = 1.0 and repel “B” with ewB∣kT — —1.0. The density
profiles obtained from the theory are compared with the simulation results from Cao
and Wu [112]. They are in good quantitative agreement. As expected, the density of
104
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