Fluctuating semiflexible polymer ribbon constrained to a ring
arXiv:0708.0111 · doi:10.1140/epje/i2007-10228-x
Abstract
Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling in addition to twist-bend coupling. Furthermore, due to the geometric constraint the polymer's effective bending stiffness increases. A new parameter for experimental investigations of polymer bundles is proposed: the mean square diameter of a ribbonlike ring, which is determined analytically in the semiflexible limit. Monte Carlo simulations are performed which affirm the model's prediction up to high flexibility.
6 pages, 3 figures, Version as published in Eur. Phys. J. E
References in corpus (6)
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- Shapes of Semiflexible Polymer Rings
- Statistical mechanics of double-stranded semi-flexible polymers
- Fluctuating Elastic Rings: Statics and Dynamics
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Cited by in corpus (7)
- Statics and Dynamics of the Wormlike Bundle Model
- Dynamics of a Semiflexible Polymer or Polymer Ring in Shear Flow
- Buckling of stiff polymer rings in weak spherical confinement
- Twist/Writhe Partitioning in a Coarse-Grained DNA Minicircle Model
- Excluded volume effects on semiflexible ring polymers
- Effect of Bending Anisotropy on the 3D Conformation of Short DNA Loops
- Stiffer double-stranded DNA in two-dimensional confinement due to bending anisotropy