Issue 11, 2013
From the journal:

Soft Matter

Localization and size distribution of a polymer knot confined in a channel

Chihiro H. Nakajimaa  and  Takahiro Sakaueab  

a Department of Physics, Kyushu University, Fukuoka 812-8581, Japan
E-mail: nakajima@stat.phys.kyushu-u.ac.jp

b PRESTO, JST, Kawaguchi, Saitama 332-0012, Japan
E-mail: sakaue@phys.kyusu-u.ac.jp

Abstract

We have examined the behaviors of a knotted linear polymer in narrow channels using Langevin dynamics simulation to investigate the knot localization property in one-dimensional (1D) geometry. We have found that the knot is strongly localized in such a geometry. By observing the distribution function of the size of the localized knot, we found the scaling behavior of the fluctuation around the most probable size with the radius of confinement. Based on the analysis of the probability distribution of the knot size, we show that the strong localization behavior and the fluctuation around the most probable size can be encompassed by a simple argument based on virtual tubes composed of parallel strands and the overlap among them.

Graphical abstract: Localization and size distribution of a polymer knot confined in a channel

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Article information

DOI
https://doi.org/10.1039/C3SM27800J
Article type
Paper
Submitted
06 Dec 2012
Accepted
11 Jan 2013
First published
06 Feb 2013

Soft Matter, 2013,9, 3140-3146

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Localization and size distribution of a polymer knot confined in a channel

C. H. Nakajima and T. Sakaue, Soft Matter, 2013, 9, 3140 DOI: 10.1039/C3SM27800J

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