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Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

Exact solutions for the elastic and thermodynamic properties for the wormlike chain model are elaborated in terms of Mathieu functions. The smearing of the classical Euler buckling instability for clamped polymers is analyzed for the…

Soft Condensed Matter · Physics 2017-05-10 Christina Kurzthaler , Thomas Franosch

We study the viscoelastic properties of highly entangled, flexible, self-propelled polymers using Brownian dynamics simulations. Our results show that the active motion of the polymer increases the height of the stress plateau by orders of…

Soft Condensed Matter · Physics 2023-10-05 Davide Breoni , Christina Kurzthaler , Benno Liebchen , Hartmut Löwen , Suvendu Mandal

The aim of this work is understanding the stretching mechanism of stochastic models of turbulence acting on a simple model of dilute polymers. We consider a turbulent model that is white noise in time and activates frequencies in a shell…

Probability · Mathematics 2024-11-22 Franco Flandoli , Yassine Tahraoui

The adhesion between a polymer melt and substrate is studied in the presence of chemically attached chains on the substrate surface. Extensive molecular dynamics simulations have been carried out to study the effect of temperature, tethered…

Materials Science · Physics 2016-08-31 Scott W. Sides , Gary S. Grest , Mark J. Stevens

The nanoscale fluctuation dynamics of semi dilute high molecular weight polymer solutions of Polyethylenoxide (PEO) in D2O under non-equilibrium flow conditions were studied by the neutron spin-echo technique. The sample cell was in…

Fluid Dynamics · Physics 2011-06-16 Maikel C. Rheinstadter , Rainer Sattler , Wolfgang Haeussler , Christian Wagner

The rheological behavior of polymer melts is strongly influenced by parameters such as chain length, chain stiffness, and architecture. In particular, shear thinning, characterized by a power-law decrease in shear viscosity with increasing…

Soft Condensed Matter · Physics 2026-03-17 Yuhi Sakamaki , Shota Goto , Kang Kim , Nobuyuki Matubayasi

We investigate the static shear viscosity on the sol side of the vulcanization transition within a minimal mesoscopic model for the Rouse-dynamics of a randomly crosslinked melt of phantom polymers. We derive an exact relation between the…

Statistical Mechanics · Physics 2009-10-31 Kurt Broderix , Henning Loewe , Peter Mueller , Annette Zippelius

We use Brownian dynamics simulations and advanced topological profiling methods to characterize the out-of-equilibrium evolution of self-entanglement in linear polymers confined into nano-channels and under periodic compression. We…

Soft Condensed Matter · Physics 2020-06-22 Davide Michieletto , Enzo Orlandini , Matthew S Turner , Cristian Micheletti

This work explains a scaling law of the first Landau coefficient of the derived Ginzburg-Landau equation (GLE) in the weakly nonlinear analysis of axisymmetric viscoelastic pipe flows in the large-Weissenberg-number ($Wi$) limit, recently…

Fluid Dynamics · Physics 2022-07-13 Dongdong Wan , Ming Dong , Mengqi Zhang

We theoretically investigate the looping dynamics of a linear polymer immersed in a viscoelastic fluid. The dynamics of the chain is governed by a Rouse model with a fractional memory kernel recently proposed by Weber et al. (S. C. Weber,…

Soft Condensed Matter · Physics 2012-07-09 Rajarshi Chakrabarti

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 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

We perform a direct numerical simulation (DNS) of the forced, incompressible two-dimensional Navier-Stokes equation coupled with the FENE-P equations for the polymer-conformation tensor. The forcing is such that, without polymers and at low…

Fluid Dynamics · Physics 2017-04-18 Anupam Gupta , Rahul Pandit

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

Conformations of partially or fully adsorbed semiflexible polymer chains are studied varying both contour length $L$, chain stiffness, $\kappa$, and the strength of the adsorption potential over a wide range. Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2019-10-02 Andrey Milchev , Kurt Binder

The conformation of a long linear polymer dissolved in fluid and exposed to an extensional flow is well-known to exhibit a "coil-stretch" transition, which for sufficiently long chains can lead to bistability. The present work reports…

Soft Condensed Matter · Physics 2022-02-09 Yijiang Yu , Michael D. Graham

The flow behaviors of polymer melt composed of short chains with ten beads between parallel plates are simulated by using a hybrid method of molecular dynamics and computational fluid dynamics. Three problems are solved: creep motion under…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

Solutions of long, flexible polymer molecules are complex fluids that simultaneously exhibit fluid-like and solid-like behaviour. When subjected to external flows, dilute polymer solutions develop elastic turbulence - a unique chaotic flow…

Fluid Dynamics · Physics 2025-09-04 Alexander Morozov , Martin Lellep , Damiano Capocci , Moritz Linkmann
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