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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

Fujiyabu et al. have experimentally reported that mixing of 3-arm star prepolymers into 4-arm analog improves the toughness of the resultant polymer networks compared to the base network composed of 4-arm star polymers only. For the…

Soft Condensed Matter · Physics 2024-06-17 Yuichi Masubuchi

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 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 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 interaction problem of a linear polymer chain, floating in fractal containers that belong to the three-dimensional Sierpinski gasket (3D SG) family of fractals, with a surface-adsorbed linear polymer chain. Each member of the…

Statistical Mechanics · Physics 2009-11-11 Ivan Zivic

We report on the linear viscoelastic properties of mixtures comprising multiarm star (as model soft colloids) and long linear chain homopolymers in a good solvent. In contrast to earlier works, we investigated symmetric mixtures (with a…

Soft Condensed Matter · Physics 2020-07-01 Daniele Parisi , Domenico Truzzolillo , Vishnu D. Deepak , Mario Gauthier , Dimitris Vlassopoulos

This study investigated the fracture of star polymer networks made from prepolymers with various arm molecular weights in the range $2 \leq N_a \leq 0$, for node functionalities $3 \leq f \leq 8$ and conversion ratios…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi

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

A number of recent experiments have provided detailed observations of the configurations of long DNA strands under nano-to-micrometer sized confinement. We therefore revisit the problem of an excluded volume polymer chain confined between…

Soft Condensed Matter · Physics 2011-03-23 Debasish Chaudhuri , Bela Mulder

We study the conformation and topological properties of cyclical star polymers with $f$ ring arms, each made of $n$ beads. We find that the conformational properties of unlinked cyclical star polymers are compatible to those of linear star…

Soft Condensed Matter · Physics 2024-09-04 Davide Breoni , Emanuele Locatelli , Luca Tubiana

We revisit a model of semiflexible Gaussian chains proposed by Winkler \textit{et al}, solve the dynamics of the discrete description of the model and derive exact algebraic expressions for some of the most relevant dynamical observables,…

Soft Condensed Matter · Physics 2022-11-02 Andres R. Tejedor , Jaime R. Tejedor , Jorge Ramirez

We investigate the conformational properties of a multi-branched polymer structure with a dendrimer-like topology, known as a snowflake polymer. This polymer is characterized by two parameters: $f_s$, which represents the functionality of…

Soft Condensed Matter · Physics 2023-06-26 Khristine Haydukivska , Viktoria Blavatska , Jaroslaw Paturej

We develop a strong stretching approximation for a polymer brush made of self-avoiding polymer chains. The density profile of the brush and the distribution of the end monomer positions in stretching direction are computed and compared with…

Soft Condensed Matter · Physics 2021-05-26 Dirk Romeis , Michael Lang

We calculate statistical properties of amorphous polymer chains between crystalline lamellae by self-consistent field model simulations. In our model, an amorphous subchain is modelled as a polymer chain of which ends are grafted onto the…

Soft Condensed Matter · Physics 2015-06-23 Takashi Uneyama , Takafumi Miyata , Koh-hei Nitta

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

In this note microgels with and without excluded volume interactions are considered. Based on earlier exact computations on Gaussian mircogels, which are formed by self-crosslinking (with $M$ crosslinks) of polymer chains with chain length…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis

Using molecular dynamics simulation of a standard bead-spring model we investigate the density crossover scaling of strictly two-dimensional self-avoiding polymer chains focusing on properties related to the contact exponent set by the…

Soft Condensed Matter · Physics 2015-06-03 N. Schulmann , H. Meyer , J. P. Wittmer , A. Johner , J. Baschnagel

We analyze the effective triplet interactions between the centers of star polymers in a good solvent. Using an analytical short distance expansion inspired by scaling theory, we deduce that the triplet part of the three-star force is…

Soft Condensed Matter · Physics 2015-06-24 Christian von Ferber , Arben Jusufi , Christos N. Likos , Hartmut Lowen , Martin Watzlawek

The structure of flexible polymers endgrafted in cylindrical pores of diameter D is studied as a function of chain length N and grafting density \sigma, assuming good solvent conditions. A phenomenological scaling theory, describing the…

Soft Condensed Matter · Physics 2009-11-11 D. I. Dimitrov , A. Milchev , K. Binder