A STATISTICAL-THEORY OF ENTANGLED LATTICE POLYMERS

被引：11

作者：

MEHTA, A ^{[1
]}

NEEDS, RJ ^{[1
]}

THOULESS, DJ ^{[1
]}

机构：

[1] UNIV WASHINGTON, DEPT PHYS FM15, SEATTLE, WA 98195 USA

来源：

EUROPHYSICS LETTERS | 1991年 / 14卷 / 02期

关键词：

D O I：

10.1209/0295-5075/14/2/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have mapped the problem of the primitive path statistics of an entangled lattice polymer onto the conceptually simple problem of a biased 1d random walk with a reflecting barrier at one end. We give explicit solutions for the distribution of primitive path lengths in the discrete and continuum cases. Special cases of our results were obtained previously by Helfand and Pearson; while we confirm their results, our approach has the advantage of being more transparent, and thus more amenable to interesting extensions.

引用

页码：113 / 117

页数：5

共 12 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS F

[2]

[Anonymous], 1979, SCALING CONCEPTS POL

[3] REPTATION OF A POLYMER CHAIN IN PRESENCE OF FIXED OBSTACLES [J].