Fluctuating tubes: A new reptation model for entangled polymer systems

1982 ◽  
Vol 7 (8) ◽  
Author(s):  
E. Donth
Keyword(s):  
Polymer Systems ◽  
Reptation Model ◽  
Entangled Polymer

scholarly journals Determine Mesh Size through Monomer Mean-Square Displacement

Polymers ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1405 ◽  
Author(s):  
Ji-Xuan Hou
Keyword(s):  
Main Parameter ◽  
Dynamic Method ◽  
Mean Square Displacement ◽  
Mesh Size ◽  
Step Length ◽  
Tube Diameter ◽  
Mean Square ◽  
Simulation Data ◽  
Polymer Systems ◽  
Entangled Polymer

A dynamic method to determine the main parameter of the tube theory through monomer mean-square displacement is discussed in this paper. The tube step length can be measured from the intersection of the slope- 1 2 line and the slope- 1 4 line in log-log plot, and the tube diameter can be obtained by recording the time at which g 1 data start to leave the slope- 1 2 regime. According to recent simulation data, the ratio of the tube step length to the tube diameter was found to be about 2 for different entangled polymer systems. Since measuring the tube diameter does not require g 1 data to reach the slope- 1 4 regime, this could be the best way to find the entanglement length from microscopic consideration.

Theory of intrachain reaction rates in entangled polymer systems

1984 ◽  
Vol 17 (12) ◽  
pp. 2895-2901 ◽  
Author(s):  
Jaan Noolandi ◽  
Kin Ming Hong ◽  
Douglas A. Bernard
Keyword(s):  
Reaction Rates ◽  
Polymer Systems ◽  
Entangled Polymer

Entangled polymer systems

2005 ◽  
Vol 169 (1-3) ◽  
pp. 75-81 ◽  
Author(s):  
Kurt Kremer ◽  
Sathish K. Sukumaran ◽  
Ralf Everaers ◽  
Gary S. Grest
Keyword(s):  
Polymer Systems ◽  
Entangled Polymer

Dynamics of Entangled Polymers

2015 ◽  
Author(s):  
Ronald G. Larson ◽  
Zuowei Wang
Keyword(s):  
Large Deformations ◽  
Nonlinear Viscoelasticity ◽  
Polymer Dynamics ◽  
Tube Model ◽  
Concentration Effects ◽  
Polymer Systems ◽  
Entangled Polymers ◽  
Entangled Polymer ◽  
Future Work ◽  
Entangled Polymer Solutions

This article explores the dynamics of entangled polymers, with particular emphasis on how the unusual and often dramatic mechanical properties of concentrated polymer systems are determined by the physics of entanglements. It begins with an overview of the foundations of entangled polymer dynamics, organized around tubes and slip links used in modeling entanglements, the packing length and concentration effects, the results of computer simulations on entanglements, topological contacts, and the effects of large deformations. The focus is on the nature of ‘entanglement’, both from a bottom-up molecular view, and from a phenomenological one. The discussion then turns to the linear viscoelasticity of entangled polymer solutions and melts, along with nonlinear viscoelasticity. Models of polymer dynamics in the linear regime are also described, including the ‘standard tube model’. The article concludes with suggestions for future work.

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.

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