The name is absent



4.3.1 Ideal chains

In terms of multipoint molecular density (pM(R)), the exact equilibrium density

profile of a random flight ideal chain in an external field is given by [111]

m— 1                   m

pm(R) = exp(⅛M - β £ ⅛‰1 (∣ri+, - r,∣) -     V≈,(r,)).       (4.35)

z=l                          i~l

The density profile of segment j is given by

pj∙(r) = ʃ dR<5(r - γj∙)pm(R),                     (4.36)

or

pj(rj) = exp(/^M) .. dr1..drj^1drj+l..drmexp[-β'^2 ½ea‰)] exp[-/?Cnd(lri+ι~ri∣)]∙

JJ                       i=l             i=ι

(4.37)

One of the strengths of modified iSAFT is that it automatically accounts for
the direct bond connectivity between the segments in the chain, a constraint that is
normally forced through the ideal chain functional in the existing theories. Instead
we can readily write down the free energy functional for an ideal chain from modified
iSAFT in terms of segment densities. From this functional, the density profile of a

96



More intriguing information

1. The geography of collaborative knowledge production: entropy techniques and results for the European Union
2. The name is absent
3. Peer Reviewed, Open Access, Free
4. Consumer Networks and Firm Reputation: A First Experimental Investigation
5. The name is absent
6. CREDIT SCORING, LOAN PRICING, AND FARM BUSINESS PERFORMANCE
7. Subduing High Inflation in Romania. How to Better Monetary and Exchange Rate Mechanisms?
8. Behaviour-based Knowledge Systems: An Epigenetic Path from Behaviour to Knowledge
9. The name is absent
10. Developing vocational practice in the jewelry sector through the incubation of a new ‘project-object’