Scaling of complex polymers: new universality classes and beyond

Details Scaling of complex polymers: new universality classes and beyond Scaling of complex polymers: new universality classes and beyond

2008-05-11

arxiv.org/abs/0805.1530v1

Phil. Mag. 88 (2008) p. 4085-4091

Physics

Condensed Matter

Soft Condensed Matter

6 pages; sent to Proceedings of "XI International Workshop on Complex Systems", Trento (Italy)

Scientific paper

We analyse scaling laws that govern macromolecules of different topology: polymer chains, homogeneous and miktoarm star polymers in a good solvent possibly constrained by a porous medium. The latter is modelled by long-range-correlated disorder with a pair correlation function g(r) that decays with a power law g(r) r^{-a} at large distances r. We show that this type of disorder changes the universality class of the system. Within the frames of the field-theoretical renormalization group approach we obtain the corresponding new universal critical exponents for systems of homogeneous and star copolymers and discuss different consequences of the architecture dependent change of the scaling behaviour.

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