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The statistical mechanics of polymers grafted on surfaces has been the subject of intense research activity because of many potential applications. In this paper, we analytically investigate the conformational changes caused by a single…

Soft Condensed Matter · Physics 2014-04-16 Panayotis Benetatos

We investigate the effect of counterion fluctuations in a single polyelectrolyte brush in the absence of added salt by systematically expanding the counterion free energy about Poisson-Boltzmann mean field theory. We find that for strongly…

Soft Condensed Matter · Physics 2009-11-10 C. D. Santangelo , A. W. C. Lau

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

Soft Condensed Matter · Physics 2025-04-11 Songyue Liu , Thomas C. O'Connor

We examine the equilibrium fluctuation spectrum of a constituent semiflexible filament segment in a network. The effect of this cross linking is to modify the mechanical boundary conditions at the end of the filament. We consider the effect…

Soft Condensed Matter · Physics 2020-01-22 Jonathan Kernes , Alex J. Levine

We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

We present a systematic statistical mechanical analysis of the conformational properties of a stiff polyelectrolyte chain with intrachain attractions that are due to counterion correlations. We show that the mean-field solution corresponds…

Soft Condensed Matter · Physics 2007-05-23 Per Lyngs Hansen , Rudi Podgornik , Daniel Svenšek , V. Adrian Parsegian

Angular correlations in dense solutions and melts of flexible polymer chains are investigated with respect to the distance $r$ between the bonds by comparing quantitative predictions of perturbation calculations with numerical data obtained…

Soft Condensed Matter · Physics 2015-05-14 J. P. Wittmer , A. Johner , S. P. Obukhov , H. Meyer , A. Cavallo , J. Baschnagel

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

It has been assumed until very recently that all long-range correlations are screened in three-dimensional melts of linear homopolymers on distances beyond the correlation length $\xi$ characterizing the decay of the density fluctuations.…

The freely jointed chain is often applied to model the thermodynamics of single polymer chains, but the traditional formulation of the model lacks internal energy changes due to bond stretching. For this reason, the extensible freely…

Statistical Mechanics · Physics 2026-05-13 Michael R. Buche

This paper discusses the elastic behavior of polyelectrolyte networks. The deformation behavior of single polyelectrolyte chains is discussed. It is shown that a strong coupling between interactions and chain elasticity exists. The theory…

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

We study the effect of polydispersity on the structure of polymer brushes by analytical theory, a numerical self-consistent field approach, and Monte Carlo simulations. The polydispersity is represented by the Schulz-Zimm chain-length…

Soft Condensed Matter · Physics 2017-02-08 Shuanhu Qi , Leonid I. Klushin , Alexander M. Skvortsov , Friederike Schmid

In the present work, four series of simulations are analyzed: entangled model networks of a) mono-disperse or b) poly-disperse weight distribution between the crosslinks, c) non-entangled phantom model networks and d) non-entangled model…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang

The bond fluctuation method is used to simulate both non-concatenated entangled and interpenetrating melts of ring polymers. We find that the swelling of interpenetrating rings upon dilution follows the same laws as for linear chains.…

Soft Condensed Matter · Physics 2021-04-13 Michael Lang , Jakob Fischer , Jens-Uwe Sommer

Polymer brushes normally swell in a good solvent and collapse in a poor solvent. An abnormal response of polymer brushes, so-called co-nonsolvency, is the phenomenon where the brush counter-intuitively collapses in a good solvent mixture.…

Soft Condensed Matter · Physics 2019-08-26 Gyehyun Park , YounJoon Jung

Conformational properties of polymer melts confined between two hard structureless walls are investigated by Monte Carlo simulation of the bond-fluctuation model. Parallel and perpendicular components of chain extension, bond-bond…

Soft Condensed Matter · Physics 2009-11-10 A. Cavallo , M. Müller , J. P. Wittmer , A. Johner , K. Binder

Polymer brushes can grow on almost any solid surface, and by design, exhibit diverse properties and functionalities, thus they have been widely used in many emerging applications in engineering, energy, and medicine. In particular, some…

Soft Condensed Matter · Physics 2022-08-16 Jiawei Yang

Using a coarse-grained bead-spring model for semi-flexible macromolecules forming a polymer brush, structure and dynamics of the polymers is investigated, varying chain stiffness and grafting density. The anchoring condition for the grafted…

Soft Condensed Matter · Physics 2014-01-28 Andrey Milchev , Kurt Binder

It is common to study polymer physics through the use of idealized single-chain models, and the most popular of these is the freely jointed chain model. In certain thermodynamic ensembles, statistical mechanical treatment of this model is…

Statistical Mechanics · Physics 2026-04-14 Michael R. Buche , Alvin Chen

The quality of solvents of polymers is often described in terms of the Flory chi parameter typically assumed to depend only on the temperature, T. In certain polymer-solvent systems fitting the experimental data enforces the replacement of…

Soft Condensed Matter · Physics 2012-06-27 V. A. Baulin , A. Halperin
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