scholarly journals Intrinsic Viscosity of Flexible Ring Polymers with Small Excluded Volume

1973 ◽  
Vol 4 (4) ◽  
pp. 446-451 ◽  
Author(s):  
Genzo Tanaka ◽  
Hiromi Yamakawa
Polymers ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 2659
Author(s):  
Fuchen Guo ◽  
Ke Li ◽  
Jiaxin Wu ◽  
Linli He ◽  
Linxi Zhang

The effects of topological constraints on penetration structures of semi-flexible ring polymers in a melt are investigated using molecular dynamics simulations, considering simultaneously the effects of the chain stiffness. Three topology types of rings are considered: 01-knot (the unknotted), 31-knot and 61-knot ring polymers, respectively. With the improved algorithm to detect and quantify the inter-ring penetration (or inter-ring threading), the degree of ring threading does not increase monotonously with the chain stiffness, existing a peak value at the intermediate stiffness. It indicates that rings interpenetrate most at intermediate stiffness where there is a balance between coil expansion (favoring penetrations) and stiffness (inhibiting penetrations). Meanwhile, the inter-ring penetration would be suppressed with the knot complexity of the rings. The analysis of effective potential between the rings provides a better understanding for this non-monotonous behavior in inter-ring penetration.


1971 ◽  
Vol 55 (7) ◽  
pp. 3188-3195 ◽  
Author(s):  
Hiromi Yamakawa ◽  
Genzo Tanaka

Soft Matter ◽  
2015 ◽  
Vol 11 (26) ◽  
pp. 5265-5273 ◽  
Author(s):  
Wenduo Chen ◽  
Hongchao Zhao ◽  
Lijun Liu ◽  
Jizhong Chen ◽  
Yunqi Li ◽  
...  

In the absence of excluded volume interaction, ring polymers show no significant difference from linear polymers, and tank-treading motion is nearly negligible.


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