scholarly journals Slow Dynamics of Ring Polymer Melts by Asymmetric Interaction of Threading Configuration: Monte Carlo Study of a Dynamically Constrained Lattice Model

Polymers ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 516 ◽  
Author(s):  
Eunsang Lee ◽  
YounJoon Jung

Abnormally slower diffusional processes than its internal structure relaxation have been observed in ring polymeric melt systems recently. A key structural feature in ring polymer melts is topological constraints which allow rings to assume a threading configuration in the melt phase. In this work, we constructed a lattice model under the assumption of asymmetric diffusivity between two threading rings, and investigated a link between the structural correlation and its dynamic behavior via Monte Carlo simulations. We discovered that the hierarchical threading configurations render the whole system to exhibit abnormally slow dynamics. By analyzing statistical distributions of timescales of threading configurations, we found that the decoupling between internal structure relaxation and diffusion is crucial to understand the threading effects on the dynamics of a ring melt. In particular, in the limit of small but threaded rings, scaling exponents of the diffusion coefficient D and timescale τ diff with respect to the degree of polymerization N agree well with that of the annealed tree model as well as our mean-field analysis. As N increases, however, the ring diffusion abruptly slows down to the glassy behavior, which is supported by a breakdown of the Stokes–Einstein relation.

1994 ◽  
Vol 49 (17) ◽  
pp. 2899-2906 ◽  
Author(s):  
Sanat K. Kumar ◽  
Thomas P. Russell ◽  
Arvind Hariharan

1988 ◽  
Vol 89 (8) ◽  
pp. 5206-5215 ◽  
Author(s):  
Sanat K. Kumar ◽  
Michele Vacatello ◽  
Do Y. Yoon

2016 ◽  
Vol 36 (6) ◽  
Author(s):  
Zhiyong Yang ◽  
Aihua Chai ◽  
Peicong Zhou ◽  
Ping Li ◽  
Yongfu Yang

We study the process of a semiflexible polymer chain adsorption on to planar surface by the dynamic Monte Carlo (DMC) method, based on the 3D off-lattice model. Both the strength of attractive monomer–surface interaction (εa) and bending energy (b) have pronounced effect on the adsorption and shape of semiflexible polymer chain. The semiflexible polymer can just fully adsorb on to the surface at certain εa, which is defined as critical εa. The essential features of the semiflexible polymer adsorption on to surface are that (i) the critical εa increases with increase in b; (ii) the shape of the fully adsorbed semiflexible polymer chain is film-like toroid, and the toroid becomes more and more perfect with increase in b. In addition, the size of toroid and the number of turns of toroid can be controlled by the b and εa.


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