The name is absent

where, y^_nt_act[{Pa(^rι)}] ɪɛ the cavity correlation function of hard sphere fluid at con-
tact approximated to its bulk value at the weighted density, p^s^⁹(pc_i) — _4π^ Jj_rι-_r2∣<_σ. ⅛2∕z(^es(r2),
A^EX'^hs i_s (-]∙_{ιe excess} f_ree energy due to the excluded volume of the segments (hard
sphere repulsions), and A^ex-'^m is the excess free energy due to the long range at-
tractions between the segments, ʃɪ,ɑ and /2,« are multiple integrals solved using the
following recurrence,

Λ,α(r) = y^-iHexp^i^-^^rOlA^-^^r^r)*',  (6.3)

ʃi,i(r) = 1,                                                                   (6.4)

and

∕₂,α(r) = y^,∕₂,_α+ι(r')exp[Z>_α+ι(r')-^f₁(r')]∆(^α-^α+1)(r,r')dr',    (6.5)

∕₂,_m(r) = 1,                                                               (6.6)

where,

Δ-'(r₁, r₂) = ⅛∙[_eχp(⅜₀)^l5dri.~⅛.Γ° ⁱ - lb"°'(r₁, r₂).      (6.7)

4π(σ^aa )∙ⁱ

K is a constant geometric factor that depends upon the associating volume, and ε₀
is the association energy. In the limit of complete association, eɑ ~→ ∞∙ Note that
we can drop the Kexp(∕Jεo) term in the expressions for ∆(z, j)^,s since they cancel out
the same terms in the bulk chemical potential.

In the case of grafted polymer chains, one of the end segments is physically/chemically

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