Tube Dynamics Works for Randomly Entangled Rings.

作者: Jian Qin , Scott T. Milner

DOI: 10.1103/PHYSREVLETT.116.068307

关键词: Tube (fluid conveyance)PolymerRing (mathematics)RheologyMechanicsRelaxation (physics)PhysicsMotion (geometry)Dynamics (mechanics)Molecular orbital theory

摘要: The tube model is the cornerstone of molecular theory for polymer rheology. We test its microscopic assumptions by simulating topologically equilibrated ring polymers, whose dynamics free from end segment relaxation. show that a closed-form expression derived adapted to polymers quantitatively predicts segmental mean squared displacements over entire range time scales local motion complete equilibration, with time-independent friction factor.

参考文章(38)
S F Edwards, The statistical mechanics of polymerized material Proceedings of the Physical Society. ,vol. 92, pp. 9- 16 ,(1967) , 10.1088/0370-1328/92/1/303
P. G. de Gennes, Reptation of a Polymer Chain in the Presence of Fixed Obstacles The Journal of Chemical Physics. ,vol. 55, pp. 572- 579 ,(1971) , 10.1063/1.1675789
R. G. Larson, T. Sridhar, L. G. Leal, G. H. McKinley, A. E. Likhtman, T. C. B. McLeish, Definitions of entanglement spacing and time constants in the tube model Journal of Rheology. ,vol. 47, pp. 809- 818 ,(2003) , 10.1122/1.1567750
T. C. B. McLeish, Tube theory of entangled polymer dynamics Advances in Physics. ,vol. 51, pp. 1379- 1527 ,(2002) , 10.1080/00018730210153216
Michael Rubinstein, Ralph H. Colby, Self‐consistent theory of polydisperse entangled polymers: Linear viscoelasticity of binary blends Journal of Chemical Physics. ,vol. 89, pp. 5291- 5306 ,(1988) , 10.1063/1.455620
Jean Louis Viovy, Michael Rubinstein, Ralph H. Colby, Constraint release in polymer melts: tube reorganization versus tube dilation Macromolecules. ,vol. 24, pp. 3587- 3596 ,(1991) , 10.1021/MA00012A020
Masao Doi, Explanation for the 3.4 power law of viscosity of polymeric liquids on the basis of the tube model Journal of Polymer Science: Polymer Letters Edition. ,vol. 19, pp. 265- 273 ,(1981) , 10.1002/POL.1981.130190507
S. T. Milner, T. C. B. McLeish, REPTATION AND CONTOUR-LENGTH FLUCTUATIONS IN MELTS OF LINEAR POLYMERS Physical Review Letters. ,vol. 81, pp. 725- 728 ,(1998) , 10.1103/PHYSREVLETT.81.725