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Related papers: Star copolymers in porous environments: scaling an…

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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…

Soft Condensed Matter · Physics 2015-05-13 V. Blavatska , C. von Ferber , Yu. Holovatch

We analyze the impact of a porous medium (structural disorder) on the scaling of the partition function of a star polymer immersed in a good solvent. We show that corresponding scaling exponents change if the disorder is…

Soft Condensed Matter · Physics 2017-08-23 V. Blavats'ka , C. von Ferber , Yu. Holovatch

We present a quantitative picture of the separation of star polymers in a solution where part of the volume is influenced by a porous medium. To this end, we study the impact of long-range-correlated quenched disorder on the entropy and…

Soft Condensed Matter · Physics 2009-11-11 V. Blavats'ka , C. von Ferber , Yu. Holovatch

We present an analysis of the impact of structural disorder on the static scattering function of f-armed star branched polymers in d dimensions. To this end, we consider the model of a star polymer immersed in a good solvent in the presence…

Soft Condensed Matter · Physics 2012-10-09 V. Blavatska , C. von Ferber , Yu. Holovatch

We analyze the statistics of loops formation in $f$-branched star polymers in an environment with structural defects, correlated at large distances $r$ according to a power law $\sim r^{-a}$. Applying the direct polymer renormalization…

Soft Condensed Matter · Physics 2017-10-04 K. Haydukivska , V. Blavatska

We review recent results of the field theoretical renormalization group analysis on the scaling properties of star polymers. We give a brief account of how the numerical values of the exponents governing the scaling of star polymers were…

Soft Condensed Matter · Physics 2007-05-23 Christian von Ferber , Yurij Holovatch

We consider the complex polymer system, consisting of ring polymer connected to the $f_1$-branched star-like structure, in good solvent in presence of structural inhomogeneities. We assume, that structural defects are correlated at large…

Soft Condensed Matter · Physics 2018-03-14 K. Haydukivska , V. Blavatska

We study the scaling properties of polymers in a d-dimensional medium with quenched defects that have power law correlations ~r^{-a} for large separations r. This type of disorder is known to be relevant for magnetic phase transitions. We…

Soft Condensed Matter · Physics 2009-11-07 Victoria Blavats'ka , Christian von Ferber , Yurij Holovatch

We extend existing renormalization group calculations for the exponents describing scaling of star polymers and polymer networks constituted by chains of different species (the so-called copolymer star exponents). Our four loop results find…

Soft Condensed Matter · Physics 2009-11-10 V. Schulte-Frohlinde , Yu. Holovatch , C. von Ferber , A. Blumen

We derive the short distance interaction of star polymers in a colloidal solution. We calculate the corresponding force between two stars with arbitrary numbers of legs f_1 and f_2. We show that a simple scaling theory originally derived…

We explore and calculate the rich scaling behavior of copolymer networks in solution by renormalization group methods. We establish a field theoretic description in terms of composite operators. Our 3rd order resummation of the spectrum of…

Soft Condensed Matter · Physics 2009-10-30 Christian von Ferber , Yurij Holovatch

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…

Soft Condensed Matter · Physics 2009-11-07 Christian von Ferber , Yurij Holovatch

We consider a coarse-grained (CG) model with pairwise interactions, suitable to describe low-density solutions of star-branched polymers of functionality $f$. Each macromolecule is represented by a CG molecule with $(f+1)$ interaction…

Soft Condensed Matter · Physics 2017-08-02 Roberto Menichetti , Andrea Pelissetto , Ferdinando Randisi

We study the properties of diffusion controlled reactions with traps or reaction sites attached to polymer chains or to a star polymer. Using a field theoretical renormalization group approach we obtain the scaling of the moments of…

Soft Condensed Matter · Physics 2016-08-31 Christian von Ferber , Yurij Holovatch

We study conformations and dynamics of active star polymers. The analysis shows that active star polymers stretching behaviour is quite different from that of active linear chains. The visual inspection of conformations and bond-bond…

Soft Condensed Matter · Physics 2022-10-11 Prabha Chuphal , Vladimir V. Palyulin

We study the conformational properties of charged polymers in a solvent in the presence of structural obstacles correlated according to a power law $\sim x^{-a}$. We work within the continuous representation of a model of linear chain…

Soft Condensed Matter · Physics 2013-11-25 V. Blavatska , C. von Ferber

The influence of long-range correlated surface and decaying near surface disorder with quenched defects is studied. We consider a correlation function for the defects of the form $\frac{e^{-z/\xi}}{r^{a}}$, where $a<d-1$ and $z$ being the…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko , J. -U. Sommer

In this paper, we show how the method of field theoretical renormalization group may be used to analyze universal shape properties of long polymer chains in porous environment. So far such analytical calculations were primarily focussed on…

Soft Condensed Matter · Physics 2012-02-22 V. Blavatska , C. von Ferber , Yu. Holovatch

By employing monomer-resolved computer simulations and analytical considerations based on polymer scaling theory, we analyze the conformations and interactions of multiarm star polymers strongly adsorbed on a smooth, two-dimensional plane.…

Soft Condensed Matter · Physics 2015-06-15 S. A. Egorov , J. Paturej , C. N. Likos , A. Milchev

Conformational properties of regular dendrimers and more general hyperbranched polymer stars with Gaussian statistics for the spacer chains between branching points are revisited numerically. We investigate the scaling for asymptotically…

Soft Condensed Matter · Physics 2015-08-18 P. Polinska , C. Gillig , J. P. Wittmer , J. Baschnagel
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