Fluctuating semiflexible polymer ribbon constrained to a ring |
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Authors: | K Alim E Frey |
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Institution: | 1. Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universit?t München, Theresienstrasse 37, D-80333, München, Germany
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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. |
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Keywords: | 87 15 Aa Theory and modeling computer simulation 87 15 Ya Fluctuations 36 20 Ey Conformation (statistics and dynamics) 05 40 -a Fluctuation phenomena random processes noise and Brownian motion |
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