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Polymer rings in solution are either permanently entangled or not. Permanent topological restrictions give rise to additional entropic interactions apart from the ones arising due to mere chain flexibility or excluded volume. Conversely,…

Soft Condensed Matter · Physics 2009-10-31 Matthias Otto

Circuit topology refers to the arrangement of interactions between objects belonging to a linearly ordered object set. Linearly ordered set of objects are common in nature and occur in a wide range of applications in economics, computer…

Disordered Systems and Neural Networks · Physics 2015-09-02 Alireza Mashaghi , Abolfazl Ramezanpour

We present a statistical model of a dilute polymer solution in good solvent in the presence of low-molecular weight cosolvent. We investigate the conformational changes of the polymer induced by a change of the cosolvent concentration and…

Statistical Mechanics · Physics 2014-11-10 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

We numerically examine the nonlinear rubber elasticity of topologically constrained polymer networks. We propose a simple and effective model based on Graessley and Pearson's topological model (GP model) for describing the topological…

Soft Condensed Matter · Physics 2015-03-19 Naomi Hirayama , Kyoichi Tsurusaki

Presenting theoretical arguments and numerical results we demonstrate long-range intrachain correlations in concentrated solutions and melts of long flexible polymers which cause a systematic swelling of short chain segments. They can be…

Soft Condensed Matter · Physics 2009-11-13 J. P. Wittmer , P. Beckrich , H. Meyer , A. Cavallo , A. Johner , J. Baschnagel

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

Soft Condensed Matter · Physics 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We report results of molecular-dynamics simulations of a model polymer melt consisting of short non-entangled chains in the supercooled state above the critical temperature of mode-coupling theory (MCT). To analyse the dynamics of the…

Soft Condensed Matter · Physics 2007-05-23 M. Aichele , J. Baschnagel

We present an exact solution for the distribution of sample averaged monomer to monomer distance of ring polymers. For non-interacting and weakly-interacting models these distributions correspond to the distribution of the area under the…

Soft Condensed Matter · Physics 2019-01-24 Shlomi Medalion , Erez Aghion , Hagai Meirovitch , Eli Barkai , David A. Kessler

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

Soft Condensed Matter · Physics 2019-03-06 Nicolás A. García , Jean-Louis Barrat

The dynamics of many glassy systems are known to exhibit string-like hopping motions each consisting of a line of particles displacing one and other. By using molecular dynamics simulations of glassy polymers, we show that these motions…

Statistical Mechanics · Physics 2021-06-29 Chi-Hang Lam

We demonstrate how center-of-mass (COM) motion influences polymer segment fluctuations. Cancellation of internal forces, together with spatially uncorrelated external noise, generally yields COM diffusivity scaling as $1/s$ with segment…

Soft Condensed Matter · Physics 2025-05-19 Kirill Polovnikov , Mehran Kardar

The field theory approach to the statistical mechanics of a system of N polymer rings linked together is generalized to the case of links that have a fixed number $2s$ of maxima and minima. Such kind of links are called plats and appear for…

Statistical Mechanics · Physics 2018-07-11 Franco Ferrari , Jarosław Paturej , Marcin Piątek , Yani Zhao

An effective medium approach together with a multiple scattering formalism is considered to study the steady-state dynamics of suspensions of spheres and rigid stiff polymer chains (Gaussian) without excluded volume interactions. The…

Condensed Matter · Physics 2009-10-28 Radu P. Mondescu , M. Muthukumar

Via large-scale molecular dynamics simulations, we observe the melting of a topological glass of stiff ring polymers by incorporating flexible ring polymers, along an isobaric path. As more flexible ring polymers are introduced, cluster…

Soft Condensed Matter · Physics 2023-05-19 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

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 present computer simulations to examine probability distributions of gyration radius for the no-thickness closed polymers of N straight segments of equal length. We are particularly interested in the conditional distributions when the…

Soft Condensed Matter · Physics 2007-05-23 N. T. Moore , R. Lua , A. Y. Grosberg

This paper reviews recent Monte Carlo simulation studies of the glassy behavior in thin polymer films. The simulations employ a version of the bond-fluctuation lattice model, in which the glass transition is driven by the competition…

Soft Condensed Matter · Physics 2007-05-23 C. Mischler , J. Baschnagel , K. Binder

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

Soft Condensed Matter · Physics 2007-05-23 S. Kutter , E. M. Terentjev

In the present work, the cyclic polymer chains (rings) in structurally disordered environment (e.g. in the cross-linked polymer gel) are studied exploiting the model of closed self-avoiding walks (SAWs) trajectories on $d=3$-dimensional…

Soft Condensed Matter · Physics 2020-11-04 K. Haydukivska , V. Blavatska

This work investigates the effects of tangent polar activity on the conformational and dynamic properties of entangled polymer melts through Langevin molecular dynamics simulations. We examine systems composed of all self-propelled,…

Soft Condensed Matter · Physics 2024-11-19 Javier Oller-Iscar , Andrés R. Tejedor , Marisol Ripoll , Jorge Ramírez