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Scaling predictions and results from self-consistent field calculations for bottle-brush polymers with a rigid backbone and flexible side chains under good solvent conditions are summarized and their validity and applicability is assessed…

Soft Condensed Matter · Physics 2007-11-26 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

Due to the complex characteristics of bottle-brush polymers, it became a challenge to develop an efficient algorithm for studying such macromolecules under various solvent conditions or some constraints in the space by using computer…

Soft Condensed Matter · Physics 2011-07-08 Hsiao-Ping Hsu

As an example for the interplay of structure, dynamics, and phase behavior of macromolecular systems, this article focuses on the problem of bottle-brush polymers with either rigid or flexible backbones. On a polymer with chain length…

Soft Condensed Matter · Physics 2009-10-23 Hsiao-Ping Hsu , Wolfgang Paul , Panagiotis E. Theodorakis , Kurt Binder

The structural phase behavior of polymer brushes, single-component linear homopolymers grafted onto a planar substrate, is studied using the molecular Monte Carlo method in 3 dimensions. When simulation parameters of the system are set in…

Soft Condensed Matter · Physics 2013-01-18 Y. Norizoe , H. Jinnai , A. Takahara

When two types of side chains (A,B) are densely grafted to a (stiff) backbone and the resulting bottle-brush polymer is in a solution under poor solvent conditions, an incompatibility between A and B leads to microphase separation in the…

Soft Condensed Matter · Physics 2015-05-28 Igor Erukhimovich , Panagiotis E. Theodorakis , Wolfgang Paul , Kurt Binder

When the local intrinsic stiffness of a polymer chain varies over a wide range, one can observe both a crossover from rigid-rod-like behavior to (almost) Gaussian random coils and a further crossover towards self-avoiding walks in good…

Soft Condensed Matter · Physics 2015-03-17 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

A polymer chain containing $N$ monomers confined in a finite cylindrical tube of diameter $D$ grafted at a distance $L$ from the open end of the tube may undergo a rather abrupt transition, where part of the chain escapes from the tube to…

Soft Condensed Matter · Physics 2009-11-13 Hsiao-Ping Hsu , Kurt Binder , Leonid I. Klushin , Alexander M. Skvortsov

We report a simulation study for bottle-brush polymers grafted on a rigid backbone. Using a standard coarse-grained bead-spring model extensive molecular dynamics simulations for such macromolecules under good solvent conditions are…

Soft Condensed Matter · Physics 2015-05-30 Hamed Maleki , Panagiotis E. Theodorakis

The phase behaviour of two-component bottle-brush polymers with fully flexible backbones under poor solvent conditions is studied via molecular-dynamics simulations, using a coarse-grained bead-spring model and side chains of up to $N=40$…

Soft Condensed Matter · Physics 2014-04-17 Nikolaos G. Fytas , Panagiotis E. Theodorakis

Conformations of a single-component bottle-brush polymer with a fully flexible backbone under poor solvent conditions are studied by molecular-dynamics simulations, using a coarse-grained bead-spring model with side chains of up to N=40…

Soft Condensed Matter · Physics 2013-06-25 Nikolaos G. Fytas , Panagiotis E. Theodorakis

The adsorption of a bottle-brush polymer end-grafted with one chain end of its backbone to a flat substrate surface is studied by Monte Carlo simulation of a coarse-grained model, that previously has been characterized in the bulk, assuming…

Soft Condensed Matter · Physics 2010-10-13 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

Disordered Systems and Neural Networks · Physics 2014-09-01 Viktoria Blavatska , Wolfhard Janke

In this review, we describe applications of the pruned-enriched Rosenbluth method (PERM), a sequential Monte Carlo algorithm with resampling, to various problems in polymer physics. PERM produces samples according to any given prescribed…

Soft Condensed Matter · Physics 2015-05-28 Hsiao-Ping Hsu , Peter Grassberger

Bottle brushes are polymeric macromolecules made of a linear polymeric backbone grafted with side chains. The choice of the grafting density {\sigma}g, the length ns the grafted side chains and their chemical nature fully determines the…

Soft Condensed Matter · Physics 2019-08-09 P. Corsi , E. Roma , T. Gasperi , F. Bruni , B. Capone

Obtaining reliable estimates of the statistical properties of complex macromolecules by computer simulation is a task that requires high computational effort as well as the development of highly efficient simulation algorithms. We present…

Soft Condensed Matter · Physics 2015-05-28 Hsiao-Ping Hsu , Wolfgang Paul

Given the wide range of length scales, the analysis of polymer systems often requires coarse-graining, for which various levels of description may be possible depending on the phenomenon under consideration. Here, we provide a super-coarse…

Soft Condensed Matter · Physics 2024-09-05 Naoki Iso , Yuki Norizoe , Takahiro Sakaue

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Extensive Monte Carlo results are presented for a lattice model of a bottle-brush polymer under good solvent or Theta solvent conditions. Varying the side chain length, backbone length, and the grafting density for a rigid straight…

Soft Condensed Matter · Physics 2009-11-13 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We study numerically a lattice model of semiflexible homopolymers with nearest neighbor attraction and energetic preference for straight joints between bonded monomers. For this we use a new algorithm, the "Pruned-Enriched Rosenbluth…

Statistical Mechanics · Physics 2009-10-30 Ugo Bastolla , Peter Grassberger

Molecular Dynamics simulations of a coarse-grained bead-spring model of flexible macromolecules tethered with one end to the surface of a cylindrical pore are presented. Chain length $N$ and grafting density $\sigma$ are varied over a wide…

Soft Condensed Matter · Physics 2007-05-23 Dimitar I. Dimitrov , Andrey Milchev , Kurt Binder , Dieter W. Heermann
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