Fluctuating semiflexible polymer ribbon constrained to a ring

Alim, Karen; Frey, Erwin

doi:10.1140/epje/i2007-10228-x

Cited by 17 publications

(24 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…New conformations are achieved by pivot moves [12], performing 10 6 Monte Carlo steps per segment. Measured expectation values of the mean square diameter hD 2 i were in accordance with analytical expressions [13] up to the estimated statistical error. The effect of self-avoidance is neglected, as its impact on the shape of even flexible polymers was shown to be only of the order of 1% [2].…”

supporting

confidence: 72%

Shapes of Semiflexible Polymer Rings

2007

View full text Add to dashboard Cite

The shape of semiflexible polymer rings is studied over their whole range of flexibility. Investigating the joint distribution of asphericity and the nature of asphericity as well as their respective averages, we find two distinct shape regimes depending on the flexibility of the polymer. For a small perimeter to persistence length the fluctuating rings exhibit only planar, elliptical configurations. At higher flexibilities three-dimensional, crumpled structures arise. Analytic calculations confirm the qualitative behavior of the averaged shape parameters and the elliptical shape in the stiff regime.

show abstract

supporting

confidence: 72%

Shapes of Semiflexible Polymer Rings

2007

View full text Add to dashboard Cite

show abstract

“…3c). Distortion on a circle formed by a ribbon has been predicted to simultaneously excite three deformation modes 51 : not only bend, but also splay and twist must come into play. Figure 3d shows that the observed conformation is consistent with a hypothetical sinusoidal variation of rod angle moving along the ring's contour (see Supplementary Note 2), although detailed energy calculation awaits further study.…”

Section: Synthesis Of Magnetic Janus Rodsmentioning

confidence: 99%

Colloidal ribbons and rings from Janus magnetic rods

et al. 2013

View full text Add to dashboard Cite

Dipolar particles are fundamental building blocks in nature and technology, yet the effect of particle anisotropy is seldom explored. Here, we fabricate colloidal silica rods coated with a hemicylindrical magnetic layer to satisfy multiple criteria: nearly monodisperse, easily imaged and magnetic interaction that dominates over gravity. We confirm long-predicted features of dipolar assembly and stress the microstructural variety brought about by shape and constituent anisotropy, especially by extrapolating knowledge learned from literal molecules. In this colloidal system, we describe analogies to liquid crystalline deformations with bend, splay and twist; an analogy to cis/trans isomerism in organic molecules, which in our system can be controllably and reversibly switched; and a field-switching methodology to direct single ribbons into not only single but also multiple rings that can subsequently undergo hierarchical self-assembly. We highlight subtle material issues of control and design rules for reconfigurable dipolar materials with building blocks of complex shape.

show abstract

“…These new experimental findings also triggered renewed theoretical interest in DNA physics. [9,10,11,12,13,14] The degree of supercoiling in DNA depends on various tunable parameters, such as the linking number, external torque and salt concentration. These parameters essentially modify the molecule's relative preference for twisting vs writhing.…”

Section: A Introductionmentioning

confidence: 99%

Twist-writhe partitioning in a coarse-grained DNA minicircle model

2010

View full text Add to dashboard Cite

Here we present a systematic study of supercoil formation in DNA minicircles under varying linking number by using molecular dynamics simulations of a two-bead coarse-grained model. Our model is designed with the purpose of simulating long chains without sacrificing the characteristic structural properties of the DNA molecule, such as its helicity, backbone directionality and the presence of major and minor grooves. The model parameters are extracted directly from full-atomistic simulations of DNA oligomers via Boltzmann inversion, therefore our results can be interpreted as an extrapolation of those simulations to presently inaccessible chain lengths and simulation times.Using this model, we measure the twist/writhe partitioning in DNA minicircles, in particular its dependence on the chain length and excess linking number. We observe an asymmetric supercoiling transition consistent with experiments. Our results suggest that the fraction of the linking number absorbed as twist and writhe is nontrivially dependent on chain length and excess linking number. Beyond the supercoiling transition, chains of the order of one persistence length carry equal amounts of twist and writhe. For longer chains, an increasing fraction of the linking number is absorbed by the writhe.

show abstract

Fluctuating semiflexible polymer ribbon constrained to a ring

Cited by 17 publications

References 25 publications

Shapes of Semiflexible Polymer Rings

Shapes of Semiflexible Polymer Rings

Colloidal ribbons and rings from Janus magnetic rods

Twist-writhe partitioning in a coarse-grained DNA minicircle model

Contact Info

Product

Resources

About