| 有限长高分子链特征标度对溶剂性质的依赖性 |
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| 引用本文： | 张双双,苗兵,所同川. 有限长高分子链特征标度对溶剂性质的依赖性[J]. 中国科学院大学学报, 2018, 35(5): 602-606. DOI: 10.7523/j.issn.2095-6134.2018.05.005 |
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| 作者姓名： | 张双双 苗兵 所同川 |
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| 作者单位： | 1. 北京师范大学物理系, 北京 100875;2. 中国科学院大学材料科学与光电技术学院, 北京 100049;3. 天津中医药大学中药制药工程学院, 天津 300193 |
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| 基金项目： | 国家自然科学基金（21604064）资助 |
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| 摘 要： | 采用自洽平均场理论并结合蒙特卡洛方法考查不同溶剂中高分子单链回转半径与聚合度的标度关系。计算结果表明，在Θ溶剂中标度指数ν≈0.495，说明此时高分子链遵循理想链的行为；另一方面，在良溶剂中标度指数ν并非普适常数，而是随着溶剂性质的变化而改变，并且总是明显低于经典理论预测值0.6。分析指出，有限链长效应是造成这一偏差的重要原因。
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| 关 键 词： | 高分子单链 回转半径 标度指数 自洽平均场理论 蒙特卡洛方法 |
| 收稿时间： | 2017-05-05 |
| 修稿时间： | 2017-05-23 |
Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length |
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| ZHANG Shuangshuang,MIAO Bing,SUO Tongchuan. Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length[J]. , 2018, 35(5): 602-606. DOI: 10.7523/j.issn.2095-6134.2018.05.005 |
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| Authors: | ZHANG Shuangshuang MIAO Bing SUO Tongchuan |
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| Affiliation: | 1. Department of Physics, Beijing Normal University, Beijing 100875, China;2. College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China;3. College of Pharmaceutical Engineering of Traditional Chinese Medicine, Tianjin University of Traditional Chinese Medicine, Tianjin 300193, China |
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| Abstract: | We employ the self-consistent field theory (SCFT) with the help of Monte Carlo technique to study the scaling behavior of the radius of gyration Rg of a single polymer chain with respect to the chain length N. The numerical results indicate the scaling exponent ν≈0.495 for Θ-solvent, which is a typical ideal chain behavior. However, for good solvent cases, the ν value displays explicit dependence on the solvent quality and is always lower than the classical prediction of 0.6. We argue that such a discrepancy is mainly attributed to the finite chain length effect. |
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| Keywords: | single polymer chain radius of gyration scaling exponent self-consistent field theory Monte Carlo technique |
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