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Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

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

We describe a high-resolution, high-bandwidth technique for determining the local viscoelasticity of soft materials such as polymer gels. Loss and storage shear moduli are determined from the power spectra of thermal fluctuations of…

Soft Condensed Matter · Physics 2009-10-30 F. Gittes , B. Schnurr , P. D. Olmsted , F. C. MacKintosh , C. F. Schmidt

We have developed a theory of polymer entanglement using an extended Cahn-Hilliard functional, with two extra terms. One is a nonlocal attractive term, operating over mesoscales, which is interpreted as giving rise to entanglement, and the…

Soft Condensed Matter · Physics 2008-11-26 Shirish M. Chitanvis

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

We calculate the plateau moduli of several single-chain slip-link and slip-spring models for entangled polymers. In these models, the entanglement effects are phenomenologically modeled by introducing topological constraints such as…

Soft Condensed Matter · Physics 2023-01-20 Takashi Uneyama , Yuichi Masubuchi

We present an extensive set of simulation results for the stress relaxation in equilibrium and step-strained bead-spring polymer melts. The data allow us to explore the chain dynamics and the shear relaxation modulus, $G(t)$, into the…

Soft Condensed Matter · Physics 2015-05-18 Ji Xuan Hou , Carsten Svaneborg , Ralf Everaers , Gary S. Grest

Entangled polymers are an important class of materials for their toughness, processability, and functionalizability. However, physically detailed modeling of highly entangled polymers can prove challenging, especially as one considers…

Soft Condensed Matter · Physics 2024-10-28 Vickie Chen , Brandon Wang , Joseph D. Peterson

The sliding of non-Newtonian drops down planar surfaces results in a complex, entangled balance between interfacial forces and non linear viscous dissipation, which has been scarcely inspected. In particular, a detailed understanding of the…

Soft Condensed Matter · Physics 2017-03-31 Silvia Varagnolo , Daniele Filippi , Giampaolo Mistura , Matteo Pierno , Mauro Sbragaglia

We have advanced our previous static theory of polymer entanglement involving an extended Cahn-Hilliard functional, to include time-dependent dynamics. We go beyond the Gaussian approximation, to the one-loop level, to compute the frequency…

Soft Condensed Matter · Physics 2009-10-31 S. M. Chitanvis

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate…

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

The saddle points of a conventional Feynman path integral are not entangled, since they comprise a sequence of classical field configurations. We combine insights from field theory and tensor networks by constructing a Feynman path integral…

Strongly Correlated Electrons · Physics 2016-07-08 A. G. Green , C. A. Hooley , J. Keeling , S. H. Simon

As a model of soft confinement for polymers, we investigated equilibrium shapes of a flexible vesicle that contains a phase-separating polymer solution. To simulate such a system, we combined the phase field theory (PFT) for the vesicle and…

Biological Physics · Physics 2015-06-19 Yutaka Oya , Toshihiro Kawakatsu

We present a minimal dynamical model for randomly branched isotropic polymers, and we study this model in the framework of renormalized field theory. For the swollen phase, we show that our model provides a route to understand the well…

Statistical Mechanics · Physics 2015-05-27 Hans-Karl Janssen , Olaf Stenull

In this work a new strategy is proposed in order to build analytic and microscopic models of fluctuating polymer rings subjected to topological constraints. The topological invariants used to fix these constraints belong to a wide class of…

Statistical Mechanics · Physics 2020-01-08 Franco Ferrari

Soft matter materials and polymers are widely used in the controlled delivery of drugs. Simulation and modeling provide insight at the atomic scale enabling a level of control unavailable to experiments. We present a workflow protocol for…

Soft Condensed Matter · Physics 2022-03-08 James P. Andrews , Estela Blaisten-Barojas

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

We investigate the effects of topological constraints (entanglements) on two dimensional polymer loops in the dense phase, and at the collapse transition (Theta point). Previous studies have shown that in the dilute phase the entangled…

Soft Condensed Matter · Physics 2009-11-10 Andreas Hanke , Ralf Metzler , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

Understanding how entanglements affect the behaviour of polymeric complex fluids is an open challenge in many fields. To elucidate the nature and consequence of entanglements in dense polymer solutions, we propose a novel method: a…

Soft Condensed Matter · Physics 2021-01-01 Davide Michieletto , Takahiro Sakaue