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

页码：546 / 552

页数：7

共 11 条

[1] [Anonymous], 1984, WADSWORTH ADV BOOKS
[2] [Anonymous], 1979, SCALING CONCEPTS POL
[3] [Anonymous], 1980, VISCOELASTIC PROPERT
[4] REPTATION OF A POLYMER CHAIN IN PRESENCE OF FIXED OBSTACLES
DEGENNES, PG
[J]. JOURNAL OF CHEMICAL PHYSICS, 1971, 55 (02) : 572 - +
[5] DOI M, 1978, J CHEM SOC FARAD T 2, V74, P1789, DOI 10.1039/f29787401789
[6] DOI M, 1978, J CHEM SOC FARAD T 2, V74, P1802, DOI 10.1039/f29787401802
[7] DOI M, 1978, J CHEM SOC FARAD T 2, V74, P1818, DOI 10.1039/f29787401818
[8] Doi M., 1986, THEORY POLYM DYNAMIC
[9] Feller W., 1968, INTRO PROBABILITY TH, VII
[10] GRAESSLEY WW, 1982, ADV POLYM SCI, V47, P67

← 1 2 →