scholarly journals A thermodynamically admissible reptation model for fast flows of entangled polymers

1999 ◽  
Vol 43 (6) ◽  
pp. 1461-1493 ◽  
Author(s):  
Hans Christian Öttinger
Keyword(s):  
Entangled Polymers ◽  
Reptation Model

A thermodynamically admissible reptation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows

2000 ◽  
Vol 44 (6) ◽  
pp. 1293-1317 ◽  
Author(s):  
Jiannong Fang ◽  
Martin Kröger ◽  
Hans Christian Öttinger
Keyword(s):  
Entangled Polymers ◽  
Model Predictions ◽  
Reptation Model ◽  
Extensional Flows

scholarly journals Modeling of Entangled Polymer Diffusion in Melts and Nanocomposites: A Review

Polymers ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 876 ◽  
Author(s):  
Argyrios Karatrantos ◽  
Russell J. Composto ◽  
Karen I. Winey ◽  
Martin Kröger ◽  
Nigel Clarke
Keyword(s):  
Polymer Melts ◽  
Fundamental Problem ◽  
Tube Model ◽  
Polymer Diffusion ◽  
Entangled Polymers ◽  
Molecular Weight Dependence ◽  
Nanoparticle Interactions ◽  
Model Predictions ◽  
Reptation Model ◽  
Entangled Polymer

This review concerns modeling studies of the fundamental problem of entangled (reptational) homopolymer diffusion in melts and nanocomposite materials in comparison to experiments. In polymer melts, the developed united atom and multibead spring models predict an exponent of the molecular weight dependence to the polymer diffusion very similar to experiments and the tube reptation model. There are rather unexplored parameters that can influence polymer diffusion such as polymer semiflexibility or polydispersity, leading to a different exponent. Models with soft potentials or slip-springs can estimate accurately the tube model predictions in polymer melts enabling us to reach larger length scales and simulate well entangled polymers. However, in polymer nanocomposites, reptational polymer diffusion is more complicated due to nanoparticle fillers size, loading, geometry and polymer-nanoparticle interactions.

Flow-Induced Orientation and Stretching of Entangled Polymers in the Framework of Nonequilibrium Thermodynamics

2016 ◽  
Vol 49 (8) ◽  
pp. 3161-3173 ◽  
Author(s):  
Pavlos S. Stephanou ◽  
Ioanna Ch. Tsimouri ◽  
Vlasis G. Mavrantzas
Keyword(s):  
Nonequilibrium Thermodynamics ◽  
Entangled Polymers

Rational Design of Novel Materials From Polymer Microrheology

2010 ◽  
Author(s):  
Rodrigo E. Teixeira ◽  
Richard S. Graham
Keyword(s):  
Rational Design ◽  
Molecular Level ◽  
Pressure Vessels ◽  
Novel Materials ◽  
Entangled Polymers ◽  
Stochastic Fluctuations ◽  
Safety Margins ◽  
Polymer Liquids ◽  
Entangled Polymer ◽  
High Degree

The visco-elastic properties of entangled polymer liquids arise from molecular-scale topological interactions and stochastic fluctuations under flow. Here, the evolutions of individual entangled polymers were observed in rheologically relevant shear flow histories. We uncover a high degree of molecular individualism and broad conformational distributions resulting from incessant stretch-collapse cycles. The data and insights of the present study may lead to improved molecular-level models and constitutive equations. These tools, in turn, may enable the rational design of novel materials with properties tailored to accomplish specific tasks such as high-pressure vessels and piping with greater safety margins and cost-effectiveness.

scholarly journals FIELD THEORY OF N ENTANGLED POLYMERS

2000 ◽  
Vol 14 (32) ◽  
pp. 3881-3895 ◽  
Author(s):  
FRANCO FERRARI ◽  
HAGEN KLEINERT ◽  
IGNAZIO LAZZIZZERA
Keyword(s):  
Field Theory ◽  
Canonical Ensemble ◽  
Feynman Diagrams ◽  
Linking Number ◽  
Entangled Polymers

We formulate a field theory capable of describing a canonical ensemble of N polymers subjected to linking number constraints in terms of Feynman diagrams.

Self-oscillations in capillary flow of entangled polymers

1999 ◽  
Vol 43 (2) ◽  
pp. 453-460 ◽  
Author(s):  
Shi-Qing Wang ◽  
N. Plucktaveesak
Keyword(s):  
Capillary Flow ◽  
Entangled Polymers

scholarly journals Effect of Chain Length Dispersity on the Mobility of Entangled Polymers

2018 ◽  
Vol 121 (5) ◽  
Author(s):  
Brandon L. Peters ◽  
K. Michael Salerno ◽  
Ting Ge ◽  
Dvora Perahia ◽  
Gary S. Grest
Keyword(s):  
Chain Length ◽  
Entangled Polymers

The biased reptation model of DNA gel electrophoresis: Mobility vs molecular size and gel concentration

Biopolymers ◽  
1989 ◽  
Vol 28 (10) ◽  
pp. 1781-1791 ◽  
Author(s):  
Gary W. Slater ◽  
Jaan Noolandi
Keyword(s):  
Gel Electrophoresis ◽  
Molecular Size ◽  
Reptation Model
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