A Renormalization Group Approach and the Phenomenological Theory of a Polymer Chain

Yoshitsugu Oono, Tomo o. Oyama

Research output: Contribution to journalArticle

Abstract

An intuitive picture of the renormalization transformation of the monomer density field of a polymer chain is given. The picture is justified by the correspondence between complex spin function φ2 and monomer density field, which allows the field-theoretic calculation of the monomer density profile, the radius of gyration, etc. From the renormalization group approach the following conclusions are drawn: 1) a polymer chain can be phenomenologically described with two parameters, 2) the phenomenological two parameters are, however, complicated functions of many (not two) microscopic parameters, 3) the phenomenological parameter z is proportional to N1/2(ln N)3/22 near the theta point, where N is the length of the polymer, 4) there exists a class of weighted self-interacting walk models which is, at the theta point, globally gaussian but whose intrachain binary interaction does not vanish and is rather attractive.

Original languageEnglish (US)
Pages (from-to)301-308
Number of pages8
JournalJournal of the Physical Society of Japan
Volume44
Issue number1
DOIs
StatePublished - Jan 1 1978

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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