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arXiv 1606.08666cond-mat.soft
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介观polymer链的普适形状特征

Universal shape characteristics for the mesoscopic polymer chain via dissipative particle dynamics

Ostap Kalyuzhnyi, Jaroslav Ilnytskyi, Yurij Holovatch, Christian von Ferber

摘要:

在本文中,我们研究的形状特征的高分子链在良溶剂中使用介观水平的建模。耗散粒子动力学模拟在$3D$空间中进行,在一定范围的链长$N$。首先检查端到端距离和回转半径的标度律,发现对于$N\geq 10$保持,从而产生对于Flory指数$ν$的合理精确值。在相同的链长区间内,链的非球面性、长轴性、尺寸比等形状特征与$N$无关。它们的平均值被认为是同意相当不错的各自的理论结果和晶格蒙特卡罗模拟。宽的概率分布的形状特征被发现类似的形式的格子蒙特卡罗模拟的结果。通过这些分布的解析拟合,找到形状特征的最可能值以补充它们的平均值。

英文摘要:

In this paper we study the shape characteristics of a polymer chain in a good solvent using a mesoscopic level of modelling. The dissipative particle dynamics simulations are performed in the $3D$ space at a range of chain lengths $N$. The scaling laws for the end-to-end distance and gyration radius are examined first and found to hold for $N\geq 10$ yielding reasonably accurate value for the Flory exponent $ν$. Within the same interval of chain lengths, the asphericity, prolateness, size ratio and other shape characteristics of the chain are found to become independent of $N$. Their mean values are found to agree reasonably well with the respective theoretical results and lattice Monte Carlo simulations. Broad probability distributions for the shape characteristics are found resembling in form the results of lattice Monte Carlo simulations. By means of analytic fitting of these distributions the most probable values for the shape characteristics are found to supplement their mean values.

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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