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We analyze the motion of individual beads of a polymer chain using a discrete version of De Gennes' reptation model that describes the motion of a polymer through an ordered lattice of obstacles. The motion within the tube can be evaluated…

Soft Condensed Matter · Physics 2016-08-15 U. Ebert , L. Schäfer , A. Baumgärtner

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

We examine how the distribution of contour lengths and the high-stretch stiffening of individual chain segments affect the macroscopic shear modulus of flexible polymer gels, using a 2D numerical model, in which polymer segments form a…

Soft Condensed Matter · Physics 2017-03-15 Christiane Caroli , Anaël Lemaître

We have studied biomembranes with grafted polymer chains using a coarse-grained membrane simulation, where a meshless membrane model is combined with polymer chains. We focus on the polymer-induced entropic effects on mechanical properties…

Biological Physics · Physics 2024-12-05 Hao Wu , Hiroshi Noguchi

Although the stretching of polymers and biomolecules is important in numerous settings, their response when confined to two-dimensions is relatively poorly-studied. In this paper, we derive closed-form analytical expressions for the…

Soft Condensed Matter · Physics 2013-05-28 Sara Iliafar , Dmitri Vezenov , Anand Jagota

We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by Leibler- Rubinstein-Colby theory. Although a…

Soft Condensed Matter · Physics 2021-02-10 Charley Schaefer , Tom C. B. McLeish

Although 3D printing has the potential to transform manufacturing processes, the strength of printed parts often does not rival that of traditionally-manufactured parts. The fused-filament fabrication method involves melting a…

Soft Condensed Matter · Physics 2017-03-29 Claire McIlroy , Peter Olmsted

The interaction of polymers with small-scale velocity gradients can trigger a coil-stretch transition in the polymers. We analyze this transition within a direct numerical simulation of shear turbulence with an Oldroyd-B model for the…

Chaotic Dynamics · Physics 2009-11-07 Bruno Eckhardt , Jochen Kronjaeger , Joerg Schumacher

We have developed the first self-consistent model for the observed large-amplitude oscillations along filament axes that explains the restoring force and damping mechanism. We have investigated the oscillations of multiple threads formed in…

Solar and Stellar Astrophysics · Physics 2012-04-06 Manuel Luna , Judith Karpen

A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

Soft Condensed Matter · Physics 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

In the first part of the paper we show that the constraining potentials introduced to mimic entanglement effects in Edwards' tube model and Flory's constrained junction model are diagonal in the generalized Rouse modes of the corresponding…

Statistical Mechanics · Physics 2009-11-07 Boris Mergell , Ralf Everaers

We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes…

Soft Condensed Matter · Physics 2017-04-26 Hsiao-Ping Hsu , Kurt Kremer

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

We present a new strategy for introducing population balances into full-chain constitutive models of living polymers with linear chain architectures. We provide equations to describe a range of stress relaxation processes covering both…

Soft Condensed Matter · Physics 2020-12-30 Joseph D. Peterson , Mike Cates

We present results from molecular dynamics simulations of strictly two-dimensional (2D) polymer melts and thin polymer films in a slit geometry of thickness of the order of the radius of gyration. We find that the dynamics of the 2D melt is…

Soft Condensed Matter · Physics 2007-05-23 H. Meyer , T. Kreer , A. Cavallo , J. P. Wittmer , J. Baschnagel

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

The non-linear stress-strain relation for crosslinked polymer networks is studied using molecular dynamics simulations. Previously we demonstrated the importance of trapped entanglements in determining the elastic and relaxational…

Soft Condensed Matter · Physics 2009-10-31 Gary S. Grest , Mathias Puetz , Kurt Kremer , Ralf Everaers

We investigate the stretching response of a thick polymer model by means of extensive stochastic simulations. The computational results are synthesized in an analytic expression that characterizes how the force versus elongation curve…

Soft Condensed Matter · Physics 2009-11-11 Ngo Minh Toan , Davide Marenduzzo , Cristian Micheletti

Brownian dynamics simulations are used to study highly entangled solutions of semiflexible polymers. Bending fluctuations of semiflexible rods are signficantly affected by entanglement only above a concentration $c^{**}$, where $c^{**}\sim…

Soft Condensed Matter · Physics 2009-11-13 Shriram Ramanathan , David C Morse

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu