柱阵列中线性高分子的弛豫过程

doi:10.7503/cjcu20150268

高等学校化学学报 ›› 2015, Vol. 36 ›› Issue (12): 2610.doi: 10.7503/cjcu20150268

• 高分子化学 • 上一篇

柱阵列中线性高分子的弛豫过程

侯吉旋(), 黄子文, 李明泽, 陈瑶, 肖屹彤, 章烨晖, 杨景

东南大学物理系, 南京 211189

收稿日期:2015-04-07 出版日期:2015-12-10 发布日期:2015-10-10
作者简介:联系人简介: 侯吉旋, 男, 博士, 副教授, 主要从事高分子物理、量子物理方面的研究. E-mail:jixuanhou@hotmail.com
基金资助:
国家自然科学基金(批准号: 11304037)、江苏省自然科学基金(批准号: BK20130604)和教育部博士点基金(批准号: 20130092120041)资助

Relaxation Process of Linear Polymer Chain in Post Array^†

HOU Jixuan^*(), HUANG Ziwen, LI Mingze, CHEN Yao, XIAO Yitong, ZHANG Yehui, YANG Jing

Department of Physics, Southeast University, Nanjing 211189, China

Received:2015-04-07 Online:2015-12-10 Published:2015-10-10
Contact: HOU Jixuan E-mail:jixuanhou@hotmail.com
Supported by:
† Supported by the National Natural Science Foundation of China(No.11304037), the Natural Science Foundation of Jiangsu Province, China(No.BK20130604) and the Ph.D.Programs Foundation of Ministry of Education of China(No.20130092120041)

摘要/Abstract

摘要：

利用Monte Carlo算法模拟了嵌入微流通道中不同长度的线性高分子的弛豫过程. 对比末端关联函数可知, 在柱阵列中高分子链存在爬行行为. 当柱间距较小时, 高分子的弛豫几乎全部为爬行, 当柱间距较大时, 高分子的弛豫还包括了长度涨落过程.

关键词: 线性高分子链, 弛豫过程, 柱阵列

Abstract:

We present an extensive set of simulation results for the relaxation processes of linear polymer chains embedded in post arrays using Monte Carlo algorithm. The comparison of different end-to-end relaxation functions shows that polymer chains exhibit reptation in post arrays. The relaxation is almost pure reptation for small array spacing while contour length fluctuation plays a role for large array spacing.

Key words: Linear polymer chain, Relaxation process, Post array

中图分类号:

O631.2⁺2

TrendMD:

侯吉旋, 黄子文, 李明泽, 陈瑶, 肖屹彤, 章烨晖, 杨景. 柱阵列中线性高分子的弛豫过程. 高等学校化学学报, 2015, 36(12): 2610.

HOU Jixuan, HUANG Ziwen, LI Mingze, CHEN Yao, XIAO Yitong, ZHANG Yehui, YANG Jing. Relaxation Process of Linear Polymer Chain in Post Array^†. Chem. J. Chinese Universities, 2015, 36(12): 2610.

图/表 7

Fig.1 Polymer chain embedded in a post array

Fig.2 End-to-end correlation functions for polymer chains with different lengths (A) No post; (B) array spacing a=6; (C) array spacing a=20.

Table 1 The first three moduli of polymer chain(N=80) in three different circumstances

Circumstance	τ₀	τ₁	τ₂	c₀	c₁	c₂
No post	37.26	2.315	0.143	0.8546	0.124	0.018
Array spacing a=6	475.48	47.62	9.99	0.8817	0.077	0.069
Array spacing a=20	92.994	9.986	4.23	0.8430	0.069	0.099

Fig.3 Characteristic times of the first three moduli of N=80 polymer chain in three different circumstances a. No post; b. array spacing a=6; c. array spacing a=20; d. the prediction of reptation theory, Eq.(6).

Fig.4 Relaxation time as a function of chain length a. No post; b. array spacing a=6;c. array spacing a=20.

Fig.5 Rescaled end-to-end correlation functions (A) No post; (B) array spacing a=6; (C) array spacing a=20.

Fig.6 Rescaled end-to-end correlation functions of N=80 polymer chain in there different circumstances a. Ca=6(t/ τ 0 a = 6 ); b. Ca=20(t/ τ 0 a = 20 ); c. Cfree(t/ τ 0 a = 20 ). The vertical thin line in the plot indicates the relaxation time of free chain τ 0 free / τ 0 a = 20 .

参考文献 19

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柱阵列中线性高分子的弛豫过程

Relaxation Process of Linear Polymer Chain in Post Array^†

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柱阵列中线性高分子的弛豫过程

Relaxation Process of Linear Polymer Chain in Post Array†

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Relaxation Process of Linear Polymer Chain in Post Array^†