1997/05/31 by Christian von Ferber, Yurij Holovatch · 6 citations
Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.1103/physreve.56.6370
published as Phys. Rev. E 56 (1997) 6370 · 30 pages, revtex, figures: 5 latex, 1 postscript. New Figs. Text improved. Citations added
arxiv created 1997/07/09 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We explore and calculate the rich scaling behavior of copolymer networks in solution by renormalization-group methods. We establish a field-theoretic description in terms of composite operators. Our third-order resummation of the spectrum of scaling dimensions brings about remarkable features: The special convexity properties of the spectra allow for a multifractal interpretation while preserving stability of the theory. This behavior could not be found for power-of-field operators of usual \ensuremathφ4 field theory. The two-dimensional (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. We furthermore provide a consistency check of two complementary renormalization schemes: \ensuremathε expansion and renormalization at fixed dimension, calculating a large collection of independent exponents in both approaches.