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Related papers: Scaling of complex polymers: new universality clas…

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We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated with a power-law decay of the pair correlation function…

Soft Condensed Matter · Physics 2011-01-17 Viktoria Blavatska , Christian von Ferber , Yurij 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 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 conformational properties of complex polymer macromolecules, consisting in general of $n$ subsequently connected chains (blocks) of different lengths and distinct chemical structure. Depending on the solvent conditions, the…

Soft Condensed Matter · Physics 2019-12-03 V. Blavatska , K. Haydukivska

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

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 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

The critical incompatibility of polymers with different compositions scales inversely with their length. For instance, a mixture of A and B homopolymers of length $N$ segregates at $\chi_{AB}^{cr} = 2/N$. But what if the difference between…

Soft Condensed Matter · Physics 2026-02-06 Artem M. Rumyantsev , Alexey A. Gavrilov

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 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 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

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno

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 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 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 study scaling properties of self avoiding polymer stars and networks of arbitrary given but fixed topology. We use massive field theoretical renormalization group framework to calculate critical exponents governing their universal…

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

A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

Soft Condensed Matter · Physics 2014-11-19 V. Blavatska , N. Fricke , W. Janke

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 analyze the probability of a single loop formation in a long flexible polymer chain in disordered environment in $d$ dimensions. The structural defects are considered to be correlated on large distances $r$ according to a power law $\sim…

Soft Condensed Matter · Physics 2016-04-14 K. Haydukivska , V. Blavatska

We present results of Monte Carlo study of the monomer-monomer correlation functions, static structure factor and asphericity characteristics of a single homopolymer in the coil and globular states for three distinct architectures of the…

Soft Condensed Matter · Physics 2009-11-07 Edward G. Timoshenko , Yuri A. Kuznetsov , Ronan Connolly
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