A few notes about polymer knots

被引：21

作者：

Grosberg, A. Y. ^{[1
]}

机构：

[1] NYU, Dept Phys, New York, NY 10003 USA

来源：

POLYMER SCIENCE SERIES A | 2009年 / 51卷 / 01期

关键词：

STATISTICAL MECHANICS; TRIVIAL KNOTS; LOOPS; ENTANGLEMENT; TOPOLOGY; MODELS; WALKS;

D O I：

10.1134/S0965545X09010064

中图分类号：

O63 [高分子化学（高聚物）];

学科分类号：

070305 ; 080501 ; 081704 ;

摘要：

Basic theoretical results on knots in a single polymer chain are reviewed. The probability of a knot upon random chain closure and the effect of a preexisting knot on the physical characteristics of a molecule are considered. The probability of a knot in the linear chain is related to knot entropy and the minimum work required for a knot to become untied in a thermodynamically equilibrium environment. However, when chain topology is fixed by end closure, it controls, for example, the average radius of gyration of a coil: a coil appears to be more compact as compared with a phantom one when a knot is more complex than a certain threshold, and more swollen in the opposite case.

引用

页码：70 / 79

页数：10