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Related papers: Topological Linking Drives Anomalous Thickening of…

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Nonlinear extensional flows are common in polymer processing but remain challenging theoretically because dramatic stretching of chains deforms the entanglement network far from equilibrium. Here, we present coarse-grained simulations of…

Soft Condensed Matter · Physics 2018-08-15 Thomas C. O'Connor , Nicolas J. Alvarez , Mark O. Robbins

We use Brownian dynamics (BD) simulations and single molecule experiments to investigate the influence of topological constraints and hydrodynamic interactions on the dynamics and rheology of solutions of ring-linear polymer blends at the…

Soft Condensed Matter · Physics 2021-07-07 Charles D. Young , Yuecheng Zhou , Charles M. Schroeder , Charles E. Sing

Extensive molecular simulations are applied to characterize the equilibrium dynamics, entanglement topology, and nonlinear extensional rheology of symmetric ring-linear polymer blends with systematically varied ring fraction $\phi_R$.…

Soft Condensed Matter · Physics 2021-12-15 Thomas C. O'Connor , Ting Ge , Gary S. Grest

Ring polymers exhibit unique flow properties due to their closed chain topology. Despite recent progress, we have not yet achieved a full understanding of the nonequilibrium flow behavior of rings in nondilute solutions where intermolecular…

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 apply monomer-resolved computer simulations of supercoiled ring polymers under shear, taking full account of the hydrodynamic interactions, accompanied, in parallel, by simulations in which these are switched off. The combination of…

Soft Condensed Matter · Physics 2024-04-17 Christoph Schneck , Jan Smrek , Christos N. Likos , Andreas Zöttl

Topological entanglements in polymers are mimicked by sliding rings (slip-links) which enforce pair contacts between monomers. We study the force-extension curve for linear polymers in which slip-links create additional loops of variable…

Statistical Mechanics · Physics 2009-11-07 Ralf Metzler , Yacov Kantor , Mehran Kardar

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

We investigate with numerical simulations the molecular origin of viscosity in melts of flexible and semiflexible oligomer rings in comparison to corresponding systems with linear chains. The strong increase of viscosity with ring stiffness…

Soft Condensed Matter · Physics 2023-07-28 Ranajay Datta , Fabian Berressem , Friederike Schmid , Arash Nikoubashman , Peter Virnau

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

Ring polymers are characterized by topology-specific entanglements called threadings. In the limit of large rings, it is conjectured that a "topological glass" should emerge due to the proliferation of threadings. In this study, we used…

Soft Condensed Matter · Physics 2024-11-19 Shota Goto , Takenobu Nakamura , Davide Michieletto , Kang Kim , Nobuyuki Matubayasi

Polymer solutions exhibit anomalous flow thickening -- marked by an abrupt increase in the macroscopic flow resistance -- above a threshold flow rate in a porous medium, but not in bulk solution. This phenomenon has evaded a mechanistic…

Fluid Dynamics · Physics 2026-05-28 Emily Y. Chen , Simon J. Haward , Amy Q. Shen , Sujit S. Datta

We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological…

Soft Condensed Matter · Physics 2015-05-27 Takahiro Sakaue

The interplay of topological constraints and persistence length of ring polymers in their own melt is investigated by means of dynamical Monte Carlo simulations of a three dimensional lattice model. We ask if the results are consistent with…

Statistical Mechanics · Physics 2009-10-31 M. Muller , J. P. Wittmer , M. E. Cates

The viscous flow of polymer chains in dense melts is dominated by topological constraints whenever the single chain contour length, N, becomes larger than the characteristic scale Ne, defining comprehensively the macroscopic rheological…

Soft Condensed Matter · Physics 2023-07-19 Mattia Alberto Ubertini , Angelo Rosa

Aiming at the mechanical properties of cross-linked biopolymers, we set up and analyze a model of two weakly bending wormlike chains subjected to a tensile force, with regularly spaced inter-chain bonds (cross-links) represented by harmonic…

Biological Physics · Physics 2014-06-24 Alice von der Heydt , Daniel Wilkin , Panayotis Benetatos , Annette Zippelius

We study numerically two-dimensional creeping viscoelastic flow past a biperiodic square array of cylinders within the Oldroyd B, FENE-CR and FENE-P constitutive models of dilute polymer solutions. Our results capture the initial mild…

Soft Condensed Matter · Physics 2017-11-30 E. J. Hemingway , A. Clarke , J. R. A. Pearson , S. M. Fielding

We investigate with numerical simulations the influence of topology and stiffness on macroscopic rheological properties of polymer melts consisting of unknotted, knotted or concatenated rings. While melts of flexible, knotted oligomer rings…

Soft Condensed Matter · Physics 2024-10-18 Ranajay Datta , Peter Virnau

Mixtures of polymers of varying topologies and stiffnesses display complex emergent rheological properties that often cannot be predicted from their single-component counterparts. For example, entangled blends of ring and linear polymers…

Soft Condensed Matter · Physics 2022-11-23 Karthik R. Peddireddy , Ryan Clairmont , Rae M. Robertson-Anderson

Elucidating the physics of a concentrated suspension of ring polymers, or of an ensemble of ring polymers in a complex environment, is an important outstanding question in polymer physics. Many of the characteristic features of these…

Soft Condensed Matter · Physics 2017-08-09 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo , Matthew S. Turner
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