Persistence length of semiflexible polymers and bending rigidity renormalizationP. Gutjahr, R. Lipowsky and J. Kierfeld
Max Planck Institute of Colloids and Interfaces Science Park Golm, 14424 Potsdam, Germany
received 11 May 2006; accepted in final form 20 October 2006
published online 23 November 2006
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.
05.10.Cc - Renormalization group methods.
82.35.Lr - Physical properties of polymers.
87.16.Dg - Membranes, bilayers, and vesicles.
© EDP Sciences 2006