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Related papers: Dynamics of end-linked star polymer structures

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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

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

Star polymers are within the most topologically entangled macromolecules. For a star to move the current theory is that one arm must retract to the branch point. The probability of this event falls exponentially with molecular weight, and a…

Computational Physics · Physics 2018-09-14 Airidas Korolkovas

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 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

A central issue in the study of polymer physics is to understand the relation between the geometrical properties of macromolecules and various dynamics, most of which are encoded in the Laplacian spectra of a related graph describing the…

Statistical Mechanics · Physics 2013-03-21 Hongxiao Liu , Zhongzhi Zhang

Reducing the complexity of cross-linked polymer networks by preserving their main macroscale properties, is key to understanding them, and a crucial issue is to relate individual properties of the polymer constituents to those of the…

Soft Condensed Matter · Physics 2018-03-21 Salim R. Maduar , Taras Y. Molotilin , Olga I. Vinogradova

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

Multiple loop formation in polymer macromolecules is an important feature of the chromatin organization and DNA compactification in the nuclei. We analyze the size and shape characteristics of complex polymer structures, containing in…

Soft Condensed Matter · Physics 2015-04-20 Viktoria Blavatska , Ralf Metzler

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

In this thesis the formation and properties of a polymer gel on and at a surface are investigated. The gel under investigation is defined as a three-dimensional network of "phantom" macromolecules that form permanent links with one another…

Disordered Systems and Neural Networks · Physics 2007-05-23 WL Vandoolaeghe

In this work, we consider a semi-dilute solution of identical star-polymers, made of attached flexible long polymer chains of the same polymerization degree N. We first compute the effective pair-potential between star-polymers. Such a…

Soft Condensed Matter · Physics 2007-05-23 F. Benzouine , M. Yassine , A. Derouiche , A. Bettachy , M. Benhamou

We employ effective interaction potentials to study the equilibrium structure and phase behavior of highly asymmetric mixtures of star polymers. We consider in particular the influence of the addition of a component with a small number of…

Soft Condensed Matter · Physics 2007-05-23 Christian Mayer , Christos N. Likos , Hartmut Löwen

Polymerization and formation of crosslinked polymer networks are important processes in manufacturing, materials fabrication, and in the case of hydrated polymer networks, synthesis of biomedical materials, drug delivery, and tissue…

Soft Condensed Matter · Physics 2022-12-15 Sam C. P. Norris , Andrea M. Kasko , Tom Chou , Maria R. D'Orsogna

In systems characterized by a rough potential energy landscape, local energetic minima and saddles define a network of metastable states whose topology strongly influences the dynamics. Changes in temperature, causing the merging and…

Soft Condensed Matter · Physics 2009-07-24 Marco Baiesi , Lorenzo Bongini , Lapo Casetti , Lorenzo Tattini

The dynamics of phantom bead-spring chains with the topology of a symmetric star with $f$ arms and tadpoles ($f=3$, a special case) is studied, in the overdamped limit. In the simplified case where the hydrodynamic radius of the central…

Soft Condensed Matter · Physics 2013-02-15 Rick Keesman , Gerard T. Barkema , Debabrata Panja

Dynamic density-matrix renormalization provides valuable numerical information on dynamic correlations by computing convolutions of the corresponding spectral densities. Here we discuss and illustrate how and to which extent such data can…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Raas , Götz S. Uhrig

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

Using the bond fluctuation model we study polymer networks obtained by endlinking of symmetric 4-arm star polymers. We consider two types of systems. Solutions of one type (A) of star polymers and solution of two types (A,B) of star polymer…

Soft Condensed Matter · Physics 2021-03-31 Konrad Schwenke , Michael Lang , Jens-Uwe Sommer

Polymer chains dissolved in a solvent take random conformations due to large internal degrees of freedom and are characterized geometrically by their average shape and size. The diffusive dynamics of such large macromolecules play an…

Soft Condensed Matter · Physics 2023-07-11 Prabeen Kumar Pattnayak , Aloke Kumar , Gaurav Tomar
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