Star exponents in polymer theory: renormalization group results in three dimensions

Ferber, fon; Holovatch,

doi:10.5488/cmp.5.8

Cited by 5 publications

(2 citation statements)

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“…Some results on star polymers can be found in Refs. [9,10,11]. Linking together polymers of different species, results in non-homogeneous polymer stars, which may have a richer scaling behaviour [12,13,14].…”

Section: Origin Of Scaling Exponents: Composite Operators and Fixed P...mentioning

confidence: 99%

Scaling of complex polymers: New universality classes and beyond

Blavatska

Ferber

Holovatch

2008

Philosophical Magazine

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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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Section: Origin Of Scaling Exponents: Composite Operators and Fixed P...mentioning

confidence: 99%

Scaling of complex polymers: New universality classes and beyond

Blavatska

Ferber

Holovatch

2008

Philosophical Magazine

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“…In particular, a subtle difference in the conformational properties of two connected polymer rings compared with that of one isolated ring were found. On the other hand, the properties of 'star' polymers (figure 1(c)) have been intensively studied [49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

Conformational properties of complex polymers: rosette versus star-like structures

Blavatska

Metzler

2015

J. Phys. A: Math. Theor.

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Multiple loop formation in polymer macromolecules is an important feature of the chromatin organisation and DNA compactification in the nuclei. We analyse the size and shape characteristics of complex polymer structures, containing in general f 1 loops (petals) and f 2 linear chains (branches). Within the frames of continuous model of Gaussian macromolecule, we apply the path integration method and obtain the estimates for gyration radius R g and asphericityÂ of typical conformation as functions of parameters f 1 , f 2 . In particular, our results qualitatively reveal the extent of anisotropy of star-like topologies as compared to the rosette structures of the same total molecular weight.

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Two-dimensional copolymers and multifractality: Comparing perturbative expansions, Monte Carlo simulations, and exact results

Ferber

Holovatch²

2002

Phys. Rev. E

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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.

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Star exponents in polymer theory: renormalization group results in three dimensions

Cited by 5 publications

References 0 publications

Scaling of complex polymers: New universality classes and beyond

Scaling of complex polymers: New universality classes and beyond

Conformational properties of complex polymers: rosette versus star-like structures

Two-dimensional copolymers and multifractality: Comparing perturbative expansions, Monte Carlo simulations, and exact results

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