BROWNIAN-MOTION MODEL OF ENTANGLED POLYMERS AND SIMULATION FOR DISENTANGLEMENT

被引:0
作者
QIAN, MP [1 ]
XIN, LZ [1 ]
LEI, GY [1 ]
WU, CX [1 ]
机构
[1] CHINA TEXT UNIV, SHANGHAI 200051, PEOPLES R CHINA
来源
SCIENCE IN CHINA SERIES A-MATHEMATICS | 1991年 / 34卷 / 05期
关键词
ENTANGLED POLYMER; BROWNIAN MOTION; RELAXATION TIME FOR DISENTANGLEMENT; COMPUTER SIMULATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The dynamics of the center-of-mass of entangled polymer is assumed to be of 1-dimensional Brownian motion in a constrained tube. When the length fluctuation of the constrained tube is neglected, the asymptotic relation between the relaxation time for disentanglement tau and the chain length N is obtained, i.e. tau approximately N3. Under conditions of the finite chain length and the length fluctuation of an effective constrained tube, the dependence relation tau approximately N3.40 +/- 0.16 is obtained by computer simulation. This conclusion elucidates reasonably the known experimental results about the dynamics of real entangled polymers.
引用
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页码:546 / 552
页数:7
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