The name is absent

where ɑ = 1 — nv21∙W21Λ⅛> C = I^- nv2.nv2∕n⅛, and n_aj are the six weighted den-
sities from FMT (α = 0,1,2,3, VI, V^r2) for component j. Hence the inhomogeneous
free energy density due to chain connectivity is given as

*∙^h‰W)l = i≡^>⅛ι(r)<₁(r) ln⅛(σι, {Mr)}).      (3.20)

One of the assumption that goes in the derivation is that all of the segments in the
chain are of the same size. Furthermore, as the final form of the functionals are
based on (multi-point-based) molecular densities, the calculations of segment density
profiles require solving m^th order implicit integral equations.

The theory was compared with Kierlik and Rosinberg [102] and simulation results
for the structure of hard chain fluid in slit-like pores. Even though the theory is in
better agreement with simulation data than Kierlik and Rosinberg for the average
density profile of the segments in the chain, it underestimates the contact densities.
Moreover, Kierlik and Rosinberg were able to get better density distributions for the
individual segments in the chain.

In addition to hard chain fluid, Wu and co-workers have applied their theory to
mixtures of polymeric fluids [61], block copolymers near selected surfaces [112], and
semi-flexible polymers [113].

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