97-02E

# 97-02E

By - Posted on 08 February 2012

UDC:
530.145
PACS:
61.41.+e, 64.60.Ak, 64.60.Fr, 11.10.Gh-

Copolymer nerworks: multifractal dimension spectra in polymer field theory

Ch. von Ferber
Yu. Holovatch

We explore the rich scaling behavior of copolymer networks in solution. We establish a field theoretic description in terms of composite operators. Our 3rd order resummation of the spectrum of scaling dimensions brings about remarkable features: Convexity of the spectra allows for a multifractal interpretation. This has not been conceived for power of field operators of $\phi ^4$ field theory before. The 2D limit of the mutually avoiding walk star apparently corresponds to results of a conformal Kac series. Such a classification seems not possible for the 2D limit of other copolymer stars. The 3rd order calculation of a large collection of exponents furthermore allows for a consistency check of two complementary schemes: epsilon expansion and renormalization at fixed dimension.

Year:
1997
Pages:
8