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arXiv 1104.1008cond-mat.soft
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熔体和溶液中的环状聚合物:标度和交叉

Ring polymers in melts and solutions: scaling and crossover

Takahiro Sakaue

摘要:

我们提出了一个简单的平均场论来描述环状高分子熔体的结构.通过结合拓扑体积分数的概念和经典的范德华流体理论,我们考虑了稠密系统中拓扑起源的许多体效应。我们预测,虽然紧凑的统计与Flory指数$ν=1/3$实现了非常长的链,大多数实际情况下落入交叉制度的表观指数$ν= 2/5$,在此期间,该系统朝着拓扑密集包装的限制。

英文摘要:

We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological origin in dense systems. We predict that although the compact statistics with the Flory exponent $ν=1/3$ is realized for very long chains, most practical cases fall into the crossover regime with the apparent exponent $ν= 2/5$ during which the system evolves toward a topological dense-packed limit.

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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