The name is absent



polymer contacts. The partition function is given by

∙⅛                 Tip n         Tlg n

Zc(ns,np,V,D =                   y Dr,∏ J *iexp(-∕3%(rnp'v]-∕3tzι[r"s+"',^'J)

j—1         ⅛—1

(8.28)


δ↑Pp + Ps — Po]>

where δ[pp + ps — Po] imposes the local incompressibility constraint. Noting this
constraint, the interaction potential can be re-written as

z,t1[r"s+"rf] = lt,<,χps ʃdr(p= - [⅛(r) - ⅛(r)]2).

(8.29)


Using Hubbard-Stratonovich transformation [269] gives

e 'ib'i = e ×ps(ns+npN)∕i Dw^ exp ( / dr[(βp — ps)w- — (Po/Xps),u∙'1] ) , (8.30)

and from the definition of dirac delta functional

δ[pp + Ps - Po]= Dw+ exp


(8.31)

Here, two auxiliary fields, w+ and w_, have been introduced to decouple the interac-
tions between the solvent molecules and polymer segments. These can be viewed as
fluctuating chemical potential fields. Field
w+ represents the total chemical potential
while w_ represents the exchange chemical potential. Using these transformations,

217



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