Tight open knots

被引：52

作者：

Pieranski, P

Przybyl, S

Stasiak, A

机构：

[1] Poznan Tech Univ, PL-60965 Poznan, Poland

[2] Univ Lausanne, Lab Ultrastruct Anal, CH-1015 Lausanne, Switzerland

来源：

EUROPEAN PHYSICAL JOURNAL E | 2001年 / 6卷 / 02期

关键词：

D O I：

10.1007/s101890170012

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The tightest open conformations of a few prime knots (3(1), 4(1), 5(1), 5(2), and 6(3)) found with the use of the SONO algorithm are presented and discussed. The conformations are obtained from the tightest closed conformations of the knots by cutting and opening them at different locations. The length of the rope engaged in each of the open conformations is calculated. The curvature and torsion profiles of the unique tightest conformations of the 3(1) and 4(1) open knots are presented and discussed. In particular, symmetry properties of the knots reflected within their curvature and torsion profiles are analysed. Connections with the physics of polymers are discussed.

引用

页码：123 / 128

页数：6

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