Volume 86, Number 4, May 2009
Article Number 48001
Number of page(s) 5
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 22 May 2009
EPL, 86 (2009) 48001
DOI: 10.1209/0295-5075/86/48001

Generalized wormlike chain model for long-range correlated heteropolymers

J. Moukhtar, C. Vaillant, B. Audit and A. Arneodo

Laboratoire Joliot-Curie and Laboratoire de Physique, CNRS, ENS-Lyon - 46 Allée d'Italie, F69007 Lyon, France, EU and Université de Lyon - F69000 Lyon, France, EU

received 24 April 2009; accepted in final form 5 May 2009; published May 2009
published online 22 May 2009

We extend the 2D wormlike chain model (WLC) for semiflexible polymers to long-range correlated (LRC) heteropolymers. The conjugated contributions of i) the thermal curvature fluctuations characterized by the “dynamic” persistence length $\ell ^{d}_{p}$ and ii) the intrinsic LRC curvature disorder of amplitude $\sigma _{o}$ and Hurst exponent H > 1/2, characterized by a “static” persistence length $\ell ^{H}_{p}$, are shown to be described by a continuum of generalized WLC (GWLC) models parametrized by the LRC exponent H. Exact analytic calculations and perturbative analysis are supported by numerical simulations. The relevance of the GWLC model for the description of the elastic properties of genomic DNA is discussed.

87.14.G- - Nucleic acids.
87.15.A- - Theory, modeling, and computer simulation.
36.20.Ey - Conformation (statistics and dynamics).

© EPLA 2009