TY - JOUR

T1 - A Renormalization Group Approach and the Phenomenological Theory of a Polymer Chain

AU - Oono, Yoshitsugu

AU - Oyama, Tomo o.

PY - 1978

Y1 - 1978

N2 - 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.

AB - 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.

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U2 - 10.1143/JPSJ.44.301

DO - 10.1143/JPSJ.44.301

M3 - Article

AN - SCOPUS:33645830226

SN - 0031-9015

VL - 44

SP - 301

EP - 308

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 1

ER -