Origin of Metastable Knots in Single Flexible Chains

被引：50

作者：

Dai, Liang ^{[1
]}

Renner, C. Benjamin ^{[2
]}

Doyle, Patrick S. ^{[1
,2
]}

机构：

[1] Singapore MIT Alliance Res & Technol Ctr, BioSyst & Micromech IRG, Singapore 117543, Singapore

[2] MIT, Dept Chem Engn, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 114卷 / 03期

基金：

美国国家科学基金会; 新加坡国家研究基金会;

关键词：

KNOTTING PROBABILITY; PHAGE CAPSIDS; DNA-MOLECULES; MONTE-CARLO; POLYMERS; ENTANGLEMENT; COMPLEXITY; RIGIDITY; POLYGONS; WALKS;

D O I：

10.1103/PhysRevLett.114.037801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recent theoretical progress has explained the physics of knotting of semiflexible polymers, yet knotting of flexible polymers is relatively unexplored. We herein develop a new theory for the size distribution of knots on a flexible polymer and the existence of metastable knots. We show the free energy of a flexible molecule in a tube can be mapped to quantitatively reproduce the free energy distribution of a knot on a flexible chain. The size distribution of knots on flexible chains is expected to be universal and might be observed at a macroscopic scale, such as a string of hard balls.

引用

页数：5

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