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Two-dimensional copolymers and multifractality: comparing perturbative expansions, Monte Carlo simulations, and exact results | | C von Ferber
; Yu Holovatch
; | | Date: |
31 Mar 2002 | | Journal: | Phys Rev E, 65 (4 Pt 1), 042801 | | 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. | | Source: | PubMed, pmid12005898 | | Services: | Forum | Review | Favorites | |
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