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arXiv 2201.06913cond-mat.softcond-mat.stat-mech
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环状高分子稀溶液在$θ$与非热溶剂热交叉区的普适性

Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents

Aritra Santra, J. Ravi Prakash

摘要:

由于其独特的拓扑结构没有链端,环状聚合物的稀溶液表现出不同于其线性链对应物的行为。它们的静态和动态特性的普遍性,作为溶剂质量的函数$z$在$θ$和非热溶剂之间的热交叉制度,在这里使用布朗动力学模拟研究。测定回转半径$R_g$与流体动力学半径$R_H$的通用比$U_{\text{RD}}$,并对线性和环状聚合物的回转半径的溶胀比$α_g$、流体动力学半径的溶胀比$α_H$和沿$x$ -轴的平均聚合物拉伸$X$的溶胀比$α_X$进行比较研究。比率$U_{\text{RD}}$稀环聚合物解决方案被发现渐近收敛到一个恒定的值为$z \to \infty$,这是一个主要的区别,从线性链的解决方案的行为,没有这样的渐近极限存在。此外,沿$x$ -轴的平均拉伸的流体动力学半径,$(X/R_H)$,被发现是独立的聚合物环的$z$,在线性聚合物的情况下,不同的比率。这些结果表明,在缩放的静态和动态性能的环和线性链的热交叉制度的根本区别。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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