The name is absent

in PRISM, for example, the CMS-DFT does not satisfy the wall contact theorem
that relates the bulk pressure of a fluid to its density at contact with the hard wall.
Another complication is the ambiguity regarding the closure relations to be used for
specific applications.

3.3 Kierlik and Rosinberg

Kierlik and Rosinberg [100, 101, 102] were the first to develop a density func-
tional theory for linear chain like molecules based on Wertheim’s theory. Although
Wertheim’s thermodynamic perturbation theory was successfully applied only to bulk
homogeneous systems, the derivation in general is applicable to inhomogeneous sys-
tems. Starting from a m component mixture of associating fluids with specific number
of highly directional attraction sites (components of type 1 and m have only one at-
traction sites which can only bond to sites on components of type 2 and (m - 1),
respectively, while other components of type a have two attraction sites which can
only bond to sites on components of type (α — 1) and (a + 1)) in a fixed volume,
they derived an expression for free energy from TPTl, in the limit of their complete
association.

0A[p_M] = Idr^M_m(r^M)[l_np_M(r^M)-l+«(r^M)+/?V(r^M)]+M^[p]-y p(r^M) InDj’²’"’"¹^; [_p])⅛^m
(3.5)

where рм(г^м) is the multi-point-based molecular density (R = {r₁, r₂,..., r_m} where
r_i is the position of the segment T in the polymer chain), ш*_м(г^м) is the sum of bond

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