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

概要

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An intuitive picture of the renormalization transformation of the monomerdensity field of a polymer chain is given. The picture is justified by the correspond-ence between complex spin function p' and monomer density field, which allowsthe field-theoretic calculation of the monomer density profile, the radius ofgyration, etc. From the renormalization group approach the following conclusionsare drawn: ]) a polymer chain can be phenomenologically described with twoparameters, 2) the phenomenological two parameters are, however, complicatedfunctions of many (not two) microscopic parameters, 3) the phenomenologicalparameter z is proportional to V"'(In V)"" near the theta point, where N is thelength of the polymer, 4) there exists a class of weighted self-interacting walkmodels which is, at the theta point, globally gaussian but whose intrachain binaryinteraction does not vanish and is rather attractive.
社団法人日本物理学会の論文
1978-01-15