Berlin 2008 – wissenschaftliches Programm
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 9: POSTERS Single Molecules, Biopolymers, Membranes
CPP 9.14: Poster
Montag, 25. Februar 2008, 16:45–19:00, Poster A
Linear and nonlinear mechanics of bundles of semiflexible filaments — •Felix Schueller1, Claus Heussinger1,2, and Erwin Frey1 — 1Ludwig-Maximilians-Universitaet Muenchen, Muenchen, Germany — 2Université de Lyon I, LPMCN, Villeurbanne, France
Bundles formed from semiflexible polymers play an important role in many physiological processes inside and outside of the cell.
We have previously defined a simple model ("wormlike bundle", WLB [1]) that describes the dynamical and statistical mechanical properties of semiflexible polymer bundles in terms of a mode-number dependent bending stiffness κ(q).
While this treatment was restricted to in plane deformations of the bundle, we show here, how the WLB can be extended to a fully three-dimensional model that, in particular, includes twist deformations.
In this framework, we examine buckling instabilities under external force or torque. We solve the eigenvalue problem for determining the critical load as well as integrate numerically the nonlinear Euler-Lagrange equations to find the post-buckling bundle shapes.
[1] C. Heussinger, M. Bathe, and E. Frey, Phys. Rev. Lett. 99, 048101 (2007)