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arXiv 2409.01149cond-mat.softcond-mat.stat-mech
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环状星形聚合物的构象与拓扑

Conformation and topology of cyclical star polymers

Davide Breoni, Emanuele Locatelli, Luca Tubiana

AI总结:

本文研究环状星形聚合物的构象与拓扑,发现未链接时其性质等价于臂数加倍、臂长减半的线性星形聚合物,而臂间链接数增大会使回转半径减小并改变内部结构。

摘要:

我们研究了具有 $f$ 个环状臂、每个臂由 $n$ 个珠子组成的环状星形聚合物的构象与拓扑性质。我们发现,未链接的环状星形聚合物的构象性质与具有 $2f$ 个臂、每个臂由 $n/2$ 个珠子组成的线性星形聚合物相容。当星形聚合物的拓扑(以臂间链接程度衡量)发生变化时,这种相容性消失。事实上,当允许链接存在时,我们注意到回转半径随臂的绝对链接数 $\vert Lk \vert$ 的增大而减小,且与引入这些链接所采用的协议无关。此外,如径向密度函数所揭示的那样,大分子内部结构在 $\vert Lk \vert$ 较大时发生定性变化。

英文摘要:

We study the conformation and topological properties of cyclical star polymers with $f$ ring arms, each made of $n$ beads. We find that the conformational properties of unlinked cyclical star polymers are compatible to those of linear star polymers with $2f$ arms made of $n/2$ beads each. This compatibility vanishes when the topology of the star, measured as the degree of linking between arms, changes. In fact, when links are allowed we notice that the gyration radius decreases as a function of the absolute linking number $\vert Lk \vert$ of the arms, regardless of the protocol that is employed to introduce said links. Furthermore, the internal structure of the macromolecules, as highlighted by the radial density function, changes qualitatively for large values of $\vert Lk \vert$.

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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