Measuring Topological Constraint Relaxation in Ring-Linear Polymer Blends,Physical Review Letters

当前位置： X-MOL 学术 › Phys. Rev. Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Measuring Topological Constraint Relaxation in Ring-Linear Polymer Blends
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-10 , DOI: 10.1103/physrevlett.133.118101
Daniel L. Vigil ₁ , Ting Ge ₂ , Michael Rubinstein _{3,

4} , Thomas C. O’Connor ₅ , Gary S. Grest ₁

Affiliation

Polymers are an effective test bed for studying topological constraints in condensed matter due to a wide array of synthetically available chain topologies. When linear and ring polymers are blended together, emergent rheological properties are observed as the blend can be more viscous than either of the individual components. This emergent behavior arises since ring-linear blends can form long-lived topological constraints as the linear polymers thread the ring polymers. Here, we demonstrate how the Gauss linking integral can be used to efficiently evaluate the relaxation of topological constraints in ring-linear polymer blends. For majority-linear blends, the relaxation rate of topological constraints depends primarily on reptation of the linear polymers, resulting in the diffusive time

τ_{d, R}

for rings of length

N_{R}

blended with linear chains of length

N_{l}

to scale as

τ_{d, R} \sim N_{R}^{2} N_{L}^{3.4}

.

中文翻译：

测量环线性聚合物共混物中的拓扑约束松弛

由于具有多种合成可用的链拓扑，聚合物是研究凝聚态拓扑约束的有效测试平台。当线性和环状聚合物共混在一起时，会观察到出现的流变特性，因为共混物可能比任何单个组分都更粘稠。这种突现行为的出现是因为当线性聚合物穿过环状聚合物时，线性环共混物可以形成长期的拓扑约束。在这里，我们演示了如何使用高斯连接积分来有效评估环状线性聚合物共混物中拓扑约束的松弛。对于大多数线性共混物，拓扑约束的弛豫率主要取决于线性聚合物的蠕动，从而导致扩散时间