The name is absent

5∕3A^βx'^αssoc[{p_α}]

<W^r)

₁ N {^γ'} »
Σ 1∏^"W-2∑∑/
Λ∈Γ(≈)                7=1 7'

P7(^rl)

<* lɪɪ У contact HX(Γ1)}] ,
⅛w ‘

(7.6)

^'⁴X7r¹^⁴¹ = ∑ /      ⅛∕⅛⅛^,(∣r- r₁∣)p√r_l),      (7.7)

W^r)      ⅛√∣r-Γι∣>σ_a7     ⁷

where, the terms have their usual meanings as in chapter 4. There are two differences
here. For repulsive interactions (or volume exclusion), the White Bear version of
Rosenfeld’s fundamental measure theory (FMT) [110], derived by Roth et. al. [266]
and independently by Yu and Wu [267], is used. And for the chain functional, differ-
ent weighted densities are used. Following the weighted density functional approach
developed by Yu and Wu [61] to define the excess free energy functional due to chain
formation, p° is defined in terms of the Rosenfeld’s weighted densities as

∕⅞(^r) = no,7(r)ξ7(r),

(7.8)

where ξ₇ = 1 — n_t,₂,γ.∏v2,7∕ⁿ2,₇, ^anc^ Rosenfeld’s weighted densities are substituted for

Py such that

ycltactl{p^τ_a<Sι)}] = i---— +

1 — nɜ

∕^, (Уу(Уу ∖                  f          ∖        ^^,2^l⅛

∖σ₇ + σf_r/ 2(1 - n3)^{2 +}∖σ₇ + σ(∕ 18(1-n₃)³’

where ξ = 1 — n_υ2.ia,^/n^. Xa's ^are given by [58, 62]

1 + ʃ dr₂X^ (^)ʌɑɑ' (rɪ, r₂)ρ<√(r₂) ’

(7.10)

187