Universal bond correlation function for two-dimensional polymer rings

T. Sakaue, G. Witz, G. Dietler, H. Wada

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.

Original languageEnglish
Article number68002
JournalEPL
Volume91
Issue number6
DOIs
Publication statusPublished - Sep 1 2010

Fingerprint

rings
polymers
flat surfaces
deoxyribonucleic acid
atomic force microscopy
scaling
perturbation
decay
curves
molecules
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Universal bond correlation function for two-dimensional polymer rings. / Sakaue, T.; Witz, G.; Dietler, G.; Wada, H.

In: EPL, Vol. 91, No. 6, 68002, 01.09.2010.

Research output: Contribution to journalArticle

Sakaue, T, Witz, G, Dietler, G & Wada, H 2010, 'Universal bond correlation function for two-dimensional polymer rings', EPL, vol. 91, no. 6, 68002. https://doi.org/10.1209/0295-5075/91/68002
Sakaue, T. ; Witz, G. ; Dietler, G. ; Wada, H. / Universal bond correlation function for two-dimensional polymer rings. In: EPL. 2010 ; Vol. 91, No. 6.
@article{0d5214b498d94fb499680df08204fc10,
title = "Universal bond correlation function for two-dimensional polymer rings",
abstract = "The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.",
author = "T. Sakaue and G. Witz and G. Dietler and H. Wada",
year = "2010",
month = "9",
day = "1",
doi = "10.1209/0295-5075/91/68002",
language = "English",
volume = "91",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - Universal bond correlation function for two-dimensional polymer rings

AU - Sakaue, T.

AU - Witz, G.

AU - Dietler, G.

AU - Wada, H.

PY - 2010/9/1

Y1 - 2010/9/1

N2 - The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.

AB - The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.

UR - http://www.scopus.com/inward/record.url?scp=78751646885&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78751646885&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/91/68002

DO - 10.1209/0295-5075/91/68002

M3 - Article

AN - SCOPUS:78751646885

VL - 91

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 6

M1 - 68002

ER -