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 language | English |
|---|---|
| Pages (from-to) | 3140-3146 |
| Number of pages | 7 |
| Journal | Soft Matter |
| Volume | 9 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Mar 21 2013 |
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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 journal › Article
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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.
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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 -