Shapes of Semiflexible Polymer Rings

Details Shapes of Semiflexible Polymer Rings Shapes of Semiflexible Polymer Rings

2007-03-22

arxiv.org/abs/q-bio/0703049v2

Phys. Rev. Lett. 99, 198102 (2007)

Biology

Quantitative Biology

Biomolecules

4 pages, 3 figures, Version as published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.99.198102

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

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