title: Two-dimensional copolymers and multifractality: comparing perturbative expansions, Monte Carlo simulations, and exact results.
abstract: We analyze the scaling laws for a set of two different species of long flexible polymer chains joined together at one of their extremities (copolymer stars) in space dimension D=2. We use a formerly constructed field-theoretic description and compare our perturbative results for the scaling exponents with recent conjectures for exact conformal scaling dimensions derived by a conformal invariance technique in the context of D=2 quantum gravity. A simple Monte Carlo simulation brings about reasonable agreement with both approaches. We analyze the remarkable multifractal properties of the spectrum of scaling exponents.
authors: Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany.
authors: C
authors: C
authors: von Ferber
authors: Yu
authors: Y
authors: Holovatch