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

Chihiro H. Nakajima, Takahiro Sakaue

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)3140-3146
Number of pages7
JournalSoft Matter
Volume9
Issue number11
DOIs
Publication statusPublished - Mar 21 2013

Fingerprint

Polymers
Geometry
polymers
Probability distributions
Distribution functions
Computer simulation
geometry
strands
distribution functions
tubes
scaling
radii
simulation

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

Localization and size distribution of a polymer knot confined in a channel. / Nakajima, Chihiro H.; Sakaue, Takahiro.

In: Soft Matter, Vol. 9, No. 11, 21.03.2013, p. 3140-3146.

Research output: Contribution to journalArticle

Nakajima, Chihiro H. ; Sakaue, Takahiro. / Localization and size distribution of a polymer knot confined in a channel. In: Soft Matter. 2013 ; Vol. 9, No. 11. pp. 3140-3146.
@article{59011bd1674b4b1782196f97ed2ae198,
title = "Localization and size distribution of a polymer knot confined in a channel",
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.",
author = "Nakajima, {Chihiro H.} and Takahiro Sakaue",
year = "2013",
month = "3",
day = "21",
doi = "10.1039/c3sm27800j",
language = "English",
volume = "9",
pages = "3140--3146",
journal = "Soft Matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "11",

}

TY - JOUR

T1 - Localization and size distribution of a polymer knot confined in a channel

AU - Nakajima, Chihiro H.

AU - Sakaue, Takahiro

PY - 2013/3/21

Y1 - 2013/3/21

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84875855366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875855366&partnerID=8YFLogxK

U2 - 10.1039/c3sm27800j

DO - 10.1039/c3sm27800j

M3 - Article

AN - SCOPUS:84875855366

VL - 9

SP - 3140

EP - 3146

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 11

ER -