Universal bond correlation function for two-dimensional polymer rings

The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.


Published in:
Europhysics Letters, 91, 6, 68002
Year:
2010
Publisher:
EDP Sciences
ISSN:
0295-5075
Keywords:
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 Record created 2010-12-20, last modified 2018-03-17

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