Knots in polymers

Yacov Kantor

doi:10.1007/bf02704163

Knots in polymers

Yacov Kantor^*

^*Corresponding author for this work

School of Physics and Astronomy

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

9 Scopus citations

Abstract

Knots and topological entanglements play an important role in the statistical mechanics of polymers. While topological entanglement is a global property, it is possible to study the size of a knotted region both numerically and analytically. It can be shown that long-range repulsive interactions, as well as entropy favor small knots in dilute systems. However, in dense systems and at the θ-point in two dimensions the uncontracted knot configuration is the most likely.

Original language	English
Pages (from-to)	1011-1017
Number of pages	7
Journal	Pramana - Journal of Physics
Volume	64
Issue number	6 SPEC. ISS.
DOIs	https://doi.org/10.1007/bf02704163
State	Published - Jun 2005

Keywords

Knots
Polymer loops
Self-avoiding walks
Topology

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10.1007/bf02704163

Cite this

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title = "Knots in polymers",

abstract = "Knots and topological entanglements play an important role in the statistical mechanics of polymers. While topological entanglement is a global property, it is possible to study the size of a knotted region both numerically and analytically. It can be shown that long-range repulsive interactions, as well as entropy favor small knots in dilute systems. However, in dense systems and at the θ-point in two dimensions the uncontracted knot configuration is the most likely.",

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AB - Knots and topological entanglements play an important role in the statistical mechanics of polymers. While topological entanglement is a global property, it is possible to study the size of a knotted region both numerically and analytically. It can be shown that long-range repulsive interactions, as well as entropy favor small knots in dilute systems. However, in dense systems and at the θ-point in two dimensions the uncontracted knot configuration is the most likely.

KW - Knots

KW - Polymer loops

KW - Self-avoiding walks

KW - Topology

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JF - Pramana - Journal of Physics

IS - 6 SPEC. ISS.

ER -

Knots in polymers

Abstract

Keywords

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