Abstract
The method of Oono, Ohta, and Freed is used to derive static properties of a ring polymer above θ the point. This method uses the technique of dimensional regularization as formulated in conformational space where monomers are specified by their positions in space and along the chain. The distribution function for an internal vector of a ring polymer is determined by using the renormalization group analysis with an expansion in d = 4-ε space, d being the spatial dimensionality. The distribution function yields exponents describing the asymptotic, long- and short-range, behavior of polymer rings. These exponents are the same to order e as those for linear chains.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1270-1277 |
| Number of pages | 8 |
| Journal | Macromolecules |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| State | Published - Sep 1981 |
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ASJC Scopus subject areas
- Organic Chemistry
- Polymers and Plastics
- Inorganic Chemistry
- Materials Chemistry
Cite this
Conformation Space Renormalization of Polymers. 4. Equilibrium Properties of the Simple Ring Polymer Using Gell-Mann-Low Type Renormalization Group Theory. / Lipkin, M.; Oono, Yoshitsugu; Freed, Karl F.
In: Macromolecules, Vol. 14, No. 5, 09.1981, p. 1270-1277.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Conformation Space Renormalization of Polymers. 4. Equilibrium Properties of the Simple Ring Polymer Using Gell-Mann-Low Type Renormalization Group Theory
AU - Lipkin, M.
AU - Oono, Yoshitsugu
AU - Freed, Karl F.
PY - 1981/9
Y1 - 1981/9
N2 - The method of Oono, Ohta, and Freed is used to derive static properties of a ring polymer above θ the point. This method uses the technique of dimensional regularization as formulated in conformational space where monomers are specified by their positions in space and along the chain. The distribution function for an internal vector of a ring polymer is determined by using the renormalization group analysis with an expansion in d = 4-ε space, d being the spatial dimensionality. The distribution function yields exponents describing the asymptotic, long- and short-range, behavior of polymer rings. These exponents are the same to order e as those for linear chains.
AB - The method of Oono, Ohta, and Freed is used to derive static properties of a ring polymer above θ the point. This method uses the technique of dimensional regularization as formulated in conformational space where monomers are specified by their positions in space and along the chain. The distribution function for an internal vector of a ring polymer is determined by using the renormalization group analysis with an expansion in d = 4-ε space, d being the spatial dimensionality. The distribution function yields exponents describing the asymptotic, long- and short-range, behavior of polymer rings. These exponents are the same to order e as those for linear chains.
UR - http://www.scopus.com/inward/record.url?scp=0006818272&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0006818272&partnerID=8YFLogxK
U2 - 10.1021/ma50006a024
DO - 10.1021/ma50006a024
M3 - Article
AN - SCOPUS:0006818272
VL - 14
SP - 1270
EP - 1277
JO - Macromolecules
JF - Macromolecules
SN - 0024-9297
IS - 5
ER -