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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

In order to study rheological properties of gelling systems in dilute solution, we investigate the viscosity and the normal stresses in the Zimm model for randomly crosslinked monomers. The distribution of cluster topologies and sizes is…

Soft Condensed Matter · Physics 2007-05-23 Henning Löwe , Peter Müller , Annette Zippelius

Dynamical properties of vulcanized polymer networks are addressed via a Rouse-type model that incorporates the effect of permanent random crosslinks. The incoherent intermediate scattering function is computed in the sol and gel phases, and…

Soft Condensed Matter · Physics 2009-10-30 Kurt Broderix , Paul M. Goldbart , Annette Zippelius

The crossover region in the phase diagram of polymer solutions, in the regime above the overlap concentration, is explored by Brownian Dynamics simulations, to map out the universal crossover scaling functions for the gyration radius and…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , B. Duenweg , J. Ravi Prakash

Coupled length and time scales determine the dynamic behavior of polymers and underlie their unique viscoelastic properties. To resolve the long-time dynamics it is imperative to determine which time and length scales must be correctly…

Soft Condensed Matter · Physics 2016-02-16 K. Michael Salerno , Anupriya Agrawal , Dvora Perahia , Gary S. Grest

We develop a segment-scale, force-based theory for the breakdown of the unentangled Rouse model and subsequent emergence of isotropic mesoscopic localization and entropic elasticity in chain polymer liquids in the absence of…

Soft Condensed Matter · Physics 2017-04-26 Zachary E. Dell , Kenneth S. Schweizer

We show that simulations of polymer rheology at a fluctuating mesoscopic scale and at the macroscopic scale where flow instabilities occur can be achieved at the same time with dissipative particle dynamics (DPD) technique.} We model the…

We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of infinitely large and small draining parameter. The equation of motion for the polymer segments beads) is…

Soft Condensed Matter · Physics 2007-05-23 V. Lisy , J. Tothova , A. V. Zatovsky

We show that non-entangled polymers display an elastic-like behaviour at a macroscopic scale (probed at some 0.100 mm thickness) up to at least hundred degrees above the glass transition temperature. This observation, found under…

Soft Condensed Matter · Physics 2016-09-12 H Mendil , P Baroni , Laurence Noirez

We consider an arbitrarily charged polymer driven by a weak field through a gel according to the rules of the Rubinstein-Duke model. The probability distribution in the stationary state is related to that of the model in which only the head…

Statistical Mechanics · Physics 2007-05-23 Andrzej Drzewinski , J. M. J. van Leeuwen

It is shown that the traditionally accepted "Rouse values" for the critical exponents at the gelation transition do not arise from the Rouse model for gelling polymers. The true critical behaviour of the Rouse model for gelling polymers is…

Statistical Mechanics · Physics 2007-05-23 Peter Müller

The scaling of the viscosity of polymer melts is investigated with regard to the molecular weight. We present a generalization of the Rubinstein-Duke model, which takes constraint releases into account and calculate the effects on the…

Statistical Mechanics · Physics 2009-11-07 Matthias Paessens , Gunter M. Schuetz

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

We perform molecular-dynamics simulations for polymer melts of the coarse-grained polyvinyl alcohol model that crystallizes upon slow cooling. To establish the properties of its high temperature liquid state as a reference point, we…

Soft Condensed Matter · Physics 2018-11-14 Sara Jabbari-Farouji

Linear viscoelastic properties for a dilute polymer solution are predicted by modeling the solution as a suspension of non-interacting bead-spring chains. The present model, unlike the Rouse model, can describe the solution's rheological…

Soft Condensed Matter · Physics 2020-07-03 J Ravi Prakash

The conformational complexity of linear polymers far exceeds that of point-like atoms and molecules. Polymers can bend, twist, even become knotted. Thus they may also display a much richer phase structure than point particles. But it is not…

Biological Physics · Physics 2015-06-16 Andrey Krokhotin , Stam Nicolis , Antti J. Niemi

Polymer thin films exhibit pronounced interfacial mobility gradients that modify chain relaxation, yet how these gradients govern chain-scale dynamics across depth remains incompletely understood. Using molecular dynamics simulations of…

Soft Condensed Matter · Physics 2026-02-27 Bao T. Ma , David S. Simmons

A key assumption of polymer physics is that the random chains polymers extend in flow. Recent experimental evidence has shown that polymer chains compress in Couette flow in a manner counter to expectation. Here, scaling arguments developed…

Soft Condensed Matter · Physics 2018-06-05 Dave E. Dunstan

We briefly review the recent advances in the rheology of entangled polymers and identify emerging research trends and outstanding challenges, especially with respect to branched polymers. Emphasis is placed on the role of well-characterized…

Soft Condensed Matter · Physics 2016-04-12 F. Snijkers , R. Pasquino , P. D. Olmsted , D. Vlassopoulos

Using molecular dynamics simulations, we determine the linear and nonlinear viscoelastic properties of a model polymer melt in the unentangled regime. Several approaches are compared for the computation of linear moduli, including…

Materials Science · Physics 2007-05-23 Mihail Vladkov , J. -L. Barrat
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