A Scaling Analysis of Theories of the Viscoelastic Properties of Entangled Polymer Systems

1980 ◽  
Vol 13 (3) ◽  
pp. 623-626 ◽  
Author(s):  
Karl F. Freed
Keyword(s):  
Viscoelastic Properties ◽  
Scaling Analysis ◽  
Polymer Systems ◽  
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
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