Copolymer networks: the spectrum of scaling dimensions

C.von Ferber and Yu. Holovatch

Physica A: Statistical Mechanics and its Applications, 1998, vol. 249, issue 1, 327-331

Abstract: We explore the intersection properties of stars of random and self-avoiding walks. We show how the corresponding scaling exponents govern the scaling behavior of copolymer networks in solution. We derive and calculate these exponents from a renormalization group analysis of a corresponding Edwards Hamiltonian. Our third-order spectrum of exponents calculated by field-theoretic renormalization shows remarkable features: All exponents are scaling dimensions of composite power of field operators, convexity of the spectrum allows for a multifractal interpretation, and the 2D limit has no simple Kac formula like structure.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:249:y:1998:i:1:p:327-331

DOI: 10.1016/S0378-4371(97)00485-8

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