Persistence length of semiflexible polymers and bending rigidity renormalization

Details Persistence length of semiflexible polymers and bending rigidity renormalization Persistence length of semiflexible polymers and bending rigidity renormalization

2011-02-21

arxiv.org/abs/1102.4219v1

Europhys. Lett. 76, 994 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages

Scientific paper

The persistence length of semiflexible polymers and one-dimensional fluid membranes is obtained from the renormalization of their bending rigidity. The renormalized bending rigidity is calculated using an exact real-space functional renormalization group transformation based on a mapping to the one-dimensional Heisenberg model. The renormalized bending rigidity vanishes exponentially at large length scales and its asymptotic behaviour is used to define the persistence length. For semiflexible polymers, our result agrees with the persistence length obtained using the asymptotic behaviour of tangent correlation functions. Our definition differs from the one commonly used for fluid membranes, which is based on a perturbative renormalization of the bending rigidity.

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