1997/05/27 by Christian von Ferber, Yurij Holovatch · 3 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1209/epl/i1997-00309-6
published as Europhys. Lett. 39 (1997) 31-36 · 7 pages, revtex, 1 latex picture
arxiv created 1997/05/27 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 ϕ 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.