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arXiv 1412.4516cond-mat.softcond-mat.stat-mech
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熔体中拓扑约束polymer环的标度行为

Scaling behavior of topologically constrained polymer rings in a melt

Benjamin Trefz, Peter Virnau

摘要:

采用大规模分子动力学模拟,在图形处理器(GPU)上研究了具有不同拓扑结构的环状聚合物在熔体中的标度行为。含有$3_1$、$5_1$结和由两个未结环组成的索烃的环的典型尺寸在大环尺寸$N$的极限下类似于$N^{1/3}$。这与皱缩球模型和未打结环的类似结果一致。对于较小的环长度,结占据环的重要部分。因此,小$N$的典型环尺寸的缩放取决于特定的结类型,并且指数通常大于0.4。

英文摘要:

Large scale molecular dynamics simulations on graphic processing units (GPUs) are employed to study the scaling behavior of ring polymers with various topological constraints in melts. Typical sizes of rings containing $3_1$, $5_1$ knots and catenanes made up of two unknotted rings scale like $N^{1/3}$ in the limit of large ring sizes $N$. This is consistent with the crumpled globule model and similar findings for unknotted rings. For small ring lengths knots occupy a significant fraction of the ring. The scaling of typical ring sizes for small $N$ thus depends on the particular knot type and the exponent is generally larger than 0.4.

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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