A few notes about polymer knots

A. Y. Grosberg

doi:10.1134/S0965545X09010064

A few notes about polymer knots

A. Y. Grosberg

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	70-79
Number of pages	10
Journal	Polymer Science - Series A
Volume	51
Issue number	1
DOIs	https://doi.org/10.1134/S0965545X09010064
State	Published - Jan 2009

ASJC Scopus subject areas

Polymers and Plastics
Materials Chemistry

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A few notes about polymer knots

Abstract

ASJC Scopus subject areas

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