论文标题
在$θ$和Athermal溶剂之间的热跨区域中环聚合物稀释溶液的通用性
Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents
论文作者
论文摘要
由于其独特的没有链端的拓扑，稀释的环聚合物溶液表现出与线性链的行为不同。在这里使用Brownian Dynamics Simulations研究了其静态和动态性能的普遍性，它是$θ$和Athermal溶剂之间$θ$和Athermal溶剂之间溶剂质量$ z $的函数。确定了回旋$ r_g $的通用比率$ u _ {\ text {rd}} $与流体动力半径$ r_h $的循环$ r_g $与肿胀比$α_g$ n s肿胀比的肿胀比率$α_H$α_H$ a $α_H$ a $α_H的肿胀比的比较研究，并进行了肿胀的肿胀和肿胀的比较。 $ x $沿$ x $轴，用于线性和环聚合物。稀释环聚合物解决方案的比率$ u _ {\ text {rd}} $渐近地收敛到$ z \ to \ infty $的恒定值，这与线性链的解决方案的行为是一个主要区别，而没有这样的渐近极限。此外，发现沿$ x $轴的平均拉伸与流体动力半径为$（x/r_h）$，与线性聚合物的情况不同，聚合物环的$ z $与$ z $无关。这些结果表明，热跨界方案中环和线性链的静态和动态特性的缩放尺度有根本的差异。
Due to their unique topology of having no chain ends, dilute solutions of ring polymers exhibit behaviour distinct from their linear chain counterparts. The universality of their static and dynamic properties, as a function of solvent quality $z$ in the thermal crossover regime between $θ$ and athermal solvents, is studied here using Brownian dynamics simulations. The universal ratio $U_{\text{RD}}$ of the radius of gyration $R_g$ to the hydrodynamic radius $R_H$ is determined, and a comparative study of the swelling ratio $α_g$ of the radius of gyration, the swelling ratio $α_H$ of the hydrodynamic radius, and the swelling ratio $α_X$ of the mean polymer stretch $X$ along the $x$-axis, for linear and ring polymers, is carried out. The ratio $U_{\text{RD}}$ for dilute ring polymer solutions is found to converge asymptotically to a constant value as $z \to \infty$, which is a major difference from the behaviour of solutions of linear chains, where no such asymptotic limit exists. Additionally, the ratio of the mean stretch along the $x$-axis to the hydrodynamic radius, $(X/R_H)$, is found to be independent of $z$ for polymeric rings, unlike in the case for linear polymers. These results indicate a fundamental difference in the scaling of static and dynamic properties of rings and linear chains in the thermal crossover regime.
