Averaged kauffman invariant and Quasi-Knot concept for linear polymers

A. Grosberg; S. Nechaev

doi:10.1209/0295-5075/20/7/007

Averaged kauffman invariant and Quasi-Knot concept for linear polymers

A. Grosberg, S. Nechaev

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

Abstract

We propose the description of the qualitative idea of quasi-knot for linear open polymers in terms of averaged Kauffman state invariant, which, in turn, can be represented as a partition function of the 2D Potts model with annealed disorder. The qualitative characteristic of quasi-knot complexity is defined and is shown to be a drastically increasing function of the compactness of the 3D chain fold.

Original language	English (US)
Pages (from-to)	613-619
Number of pages	7
Journal	EPL
Volume	20
Issue number	7
DOIs	https://doi.org/10.1209/0295-5075/20/7/007
State	Published - Dec 1 1992

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Averaged kauffman invariant and Quasi-Knot concept for linear polymers",

abstract = "We propose the description of the qualitative idea of quasi-knot for linear open polymers in terms of averaged Kauffman state invariant, which, in turn, can be represented as a partition function of the 2D Potts model with annealed disorder. The qualitative characteristic of quasi-knot complexity is defined and is shown to be a drastically increasing function of the compactness of the 3D chain fold.",

author = "A. Grosberg and S. Nechaev",

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N2 - We propose the description of the qualitative idea of quasi-knot for linear open polymers in terms of averaged Kauffman state invariant, which, in turn, can be represented as a partition function of the 2D Potts model with annealed disorder. The qualitative characteristic of quasi-knot complexity is defined and is shown to be a drastically increasing function of the compactness of the 3D chain fold.

AB - We propose the description of the qualitative idea of quasi-knot for linear open polymers in terms of averaged Kauffman state invariant, which, in turn, can be represented as a partition function of the 2D Potts model with annealed disorder. The qualitative characteristic of quasi-knot complexity is defined and is shown to be a drastically increasing function of the compactness of the 3D chain fold.

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Averaged kauffman invariant and Quasi-Knot concept for linear polymers

Abstract

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