The name is absent

Figure 6.2: (a) Segment density profiles vs z∣N_g of hard chains tethered to a hard wall
for N_g = 50 (solid curve), 100 (dot dashed curve), 150 (dashed curve) and p_gσ² = 0.1. The
predictions are from modified iSAFT. (b) Brush height h (■) and average brush height
< z > (∙) vs N_gp^lgⁱ for hard chains tethered to a hard wall for N_g = 50, 100 and 150 at
different grafting densities. The dashed curves are linear fits to the data.

chain length (z∕N_g) at a fixed p_g, where p_g is the grafting density and N_g is the
number of segments in the chain. The profiles overlap each other except near the
end of the brush where the profiles show a gradual exponential decay (instead of a
parabolic decay). The shape of the density profiles in figures 6.la, 6.lb, and 6.2a are
similar to the SCFT prediction [227] for the density profile at good solvent condition
as p(z) = C∖p_g^ — C2{z∕N_g')²₁ where C₁ and C2 are constants independent of p_g and
N_g. Furthermore, this density profile predict a scaling relationship for the average
brush height (< z >) as < z >~ N_gp^l_g³ in accordance with the scaling theories of

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