有限长高分子链特征标度对溶剂性质的依赖性

doi:10.7523/j.issn.2095-6134.2018.05.005

中国科学院大学学报 ›› 2018, Vol. 35 ›› Issue (5): 602-606.DOI: 10.7523/j.issn.2095-6134.2018.05.005

有限长高分子链特征标度对溶剂性质的依赖性

张双双¹, 苗兵², 所同川³

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

收稿日期:2017-05-05 修回日期:2017-05-23 发布日期:2018-09-15
通讯作者: 所同川
基金资助:
国家自然科学基金（21604064）资助

Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length

ZHANG Shuangshuang¹, MIAO Bing², SUO Tongchuan³

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

Received:2017-05-05 Revised:2017-05-23 Published:2018-09-15

摘要/Abstract

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。

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

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 R_g 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.

Key words: single polymer chain, radius of gyration, scaling exponent, self-consistent field theory, Monte Carlo technique

中图分类号:

O631.1

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.

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.

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有限长高分子链特征标度对溶剂性质的依赖性

Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length

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