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The dynamics of a polymer ring enclosing a constant {\sl algebraic} area is studied. The constraint of a constant area is found to couple the dynamics of the two Cartesian components of the position vector of the polymer ring through the…

Soft Condensed Matter · Physics 2009-11-10 Arti Dua , Thomas A. Vilgis

We study the static and dynamical properties of a harmonically confined Rouse polymer coupled to a fluctuating correlated medium, which affect each other reciprocally during their stochastic evolution. The medium is modeled by a scalar…

Soft Condensed Matter · Physics 2025-10-09 Pietro Luigi Muzzeddu , Davide Venturelli , Andrea Gambassi

Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

In this paper, we employ Molecular Dynamics computer simulations to study and compare the statics and dynamics of linear and circular (ring) polymer chains in entangled solutions of different densities. While we confirm that linear chain…

Soft Condensed Matter · Physics 2016-02-17 Negar Nahali , Angelo Rosa

Some recent results on the rotational dynamics of polymers are reviewed and extended. We focus here on the relaxation of a polymer, either flexible or semiflexible, initially wrapped around a rigid rod. We also study the steady polymer…

Statistical Mechanics · Physics 2015-06-22 Jean-Charles Walter , Michiel Laleman , Marco Baiesi , Enrico Carlon

We study structural properties of a ring polymeric melt confined in a film in comparison to a linear counterpart using molecular dynamics simulations. Local structure orderings of ring and linear polymers in the vicinity of the surface are…

Soft Condensed Matter · Physics 2015-10-21 Eunsang Lee , YounJoon Jung

The coupled dynamics of entangled polymers which span a broad time and length scales govern the unique viscoelastic properties of polymers. To follow chain mobility by numerical simulations from the intermediate Rouse and reptation regimes…

Soft Condensed Matter · Physics 2016-11-03 Gary S. Grest

We study of the dynamics of ring polymers confined to diffuse in a background gel at low concentrations. We do this in order to probe the inter-play between topology and dynamics in ring polymers. We develop an algorithm that takes into…

Soft Condensed Matter · Physics 2014-08-22 Davide Michieletto , Davide Marenduzzo , Enzo Orlandini , Gareth P. Alexander , Matthew S. Turner

Motivated by recent observations that non-concatenated ring polymers in their dense solution exhibit a glass-like dynamics, we propose a free volume description of the motion of such rings based on the notion of topological volume. We first…

Soft Condensed Matter · Physics 2018-10-03 Takahiro Sakaue

We study the dynamics of a polymer, described as a variant of a Rouse chain, driven by an active terminal monomer (head). The local active force induces a transition from a globule-like to an elongated state, as revealed by the study of the…

Statistical Mechanics · Physics 2020-01-28 Laura Natali , Lorenzo Caprini , Fabio Cecconi

The effect of ring stiffness and pressure on the glassy dynamics of a thermal assembly of two-dimensional ring polymers is investigated using extensive coarse-grained molecular dynamics simulations. In all cases, dynamical slowing down is…

Soft Condensed Matter · Physics 2023-06-06 Sayantan Ghosh , Satyavani Vemparala , Pinaki Chaudhuri

Ring polymers are an intriguing class of polymers with unique physical properties, and understanding their behavior is important for developing accurate theoretical models. In this study, we investigate the effect of chain stiffness and…

Soft Condensed Matter · Physics 2023-08-24 Shota Goto , Kang Kim , Nobuyuki Matubayasi

Using extensive molecular dynamics simulations, we investigate the slowing down of dynamics in a 3D system of ring polymers by varying the ambient pressure and the stiffness of the rings. Our study demonstrates that the stiffness of the…

Soft Condensed Matter · Physics 2022-03-07 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

The effects of entanglement in solutions and melts of unknotted ring polymers have been addressed by several theoretical and numerical studies. The system properties have been typically profiled as a function of ring contour length at fixed…

Soft Condensed Matter · Physics 2011-11-29 Angelo Rosa , Enzo Orlandini , Luca Tubiana , Cristian Micheletti

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

Dynamical properties of a long polymer ring in a melt of unknotted and unconcatenated rings are calculated. We re-examine and generalize the well known model of a ring confined to a lattice of topological obstacles in the light of the…

Soft Condensed Matter · Physics 2015-06-22 Jan Smrek , Alexander Y. Grosberg

The conformational and dynamical properties of isolated semiflexible active polar ring polymers are investigated analytically. A ring is modeled as continuous Gaussian polymer exposed to tangential active forces. The analytical solution of…

Soft Condensed Matter · Physics 2022-06-22 Christian A. Philipps , Gerhard Gompper , Roland G. Winkler

We discuss simulations of a simple model for polymer blends in the framework of the Rouse model. At odds with standard predictions, large dynamic asymmetry between the two components induces strong non-exponentiality of the Rouse modes for…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Juan Colmenero

The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely that of a…

Soft Condensed Matter · Physics 2014-10-14 Diddo Diddens , Andreas Heuer

We present a molecular dynamics study of the influence of knot complexity and molecular mass on glass formation upon cooling in knotted ring polymer melts. We find that cooperative motion, rigidity, and glassy dynamics can be tuned over a…

Soft Condensed Matter · Physics 2026-03-17 Yue-Tong Dong , Jack F. Douglas , Wen-Sheng Xu
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