Origin of metastable knots in single flexible chains.

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.

[1]  A. Floren,et al.  ' " ' " ' " . " ' " " " " " ' " ' " " " " " : ' " 1 , 2001 .

[2]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[3]  S. Wereley,et al.  soft matter , 2019, Science.

[4]  Olga Smirnova,et al.  Nature in London , 2016 .

[5]  C. Tanford.  Macromolecules , 1994, Nature.

[6]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[7]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[8]  P. Gennes.  Scaling Concepts in Polymer Physics , 1979 .