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Journal of Statistical Physics

, Volume 170, Issue 3, pp 642–651 | Cite as

Elasticity of a Filament with Kinks

  • Mohammadhosein RazbinEmail author
Article
  • 227 Downloads

Abstract

Using the wormlike chain model, we analytically study the elasticity of a filament with kinks. We calculate the position probability density function and the force constant of a kinked filament with a general kink angle. Then, using the mathematical induction, we obtain the positional-orientational probability density function of a filament with regular kinks. For this filament, we compute the force constant in two different directions. In longitudinal direction of the filament, the force constant is proportional to the inverse of the number of the segments, i.e., 1 / m, while in transverse direction, it is proportional to \(1/m^3\).

Keywords

Semiflexible filament Wormlike chain model Kink 

Notes

Acknowledgements

We thank the DFG for financial support through SFB 937, project A1. Also, we thank Annette Zippelius for the useful comments.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institute for Theoretical PhysicsGeorg August UniversityGöttingenGermany
  2. 2.Institute of Biochemistry and BiophysicsUniversity of TehranTehranIran

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