Self-Consistent Field Theory and Its Applications by M. W. Matsen
Self-Consistent Field Theory and Its Applications by M. W. Matsen
Self-Consistent Field Theory and Its Applications by M. W. Matsen
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1.1 Gaussian Chain 9<br />
r 2 , the preceding integral can then be expressed in the slightly more convenient form,<br />
p m (r) = 2π r<br />
∫ ∞<br />
0<br />
∫ r+r1<br />
dr 1 r 1 p m−n (r 1 ) dr 2 r 2 p n (r 2 ) (1.7)<br />
|r−r 1|<br />
With the recursion relation in Eq. (1.7), it is now a straightforward exercise to march<br />
through calculating p m (r) for larger <strong>and</strong> larger segments. Starting with m =2<strong>and</strong> n =1, the<br />
two-monomer distribution,<br />
p 2 (r) =<br />
{ 1<br />
8πb 2 r ,<br />
if r