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



More intriguing information

1. Social Balance Theory
2. The name is absent
3. Structural Conservation Practices in U.S. Corn Production: Evidence on Environmental Stewardship by Program Participants and Non-Participants
4. On the Real Exchange Rate Effects of Higher Electricity Prices in South Africa
5. The name is absent
6. The name is absent
7. The name is absent
8. The name is absent
9. The name is absent
10. A Duality Approach to Testing the Economic Behaviour of Dairy-Marketing Co-operatives: The Case of Ireland