Conformation Space Renormalization of Polymers. 4. Equilibrium Properties of the Simple Ring Polymer Using Gell-Mann-Low Type Renormalization Group Theory

M. Lipkin, Yoshitsugu Oono, Karl F. Freed

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1270-1277
Number of pages8
JournalMacromolecules
Volume14
Issue number5
DOIs
StatePublished - Sep 1981

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Group theory
Conformations
Polymers
Gels
Distribution functions
Monomers

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 journalArticle

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