Tension dynamics in semiflexible polymers. Part II: Scaling solutions and applications
arXiv:cond-mat/0609638 · doi:10.1103/PhysRevE.75.031906
Abstract
In Part I of this contribution, a systematic coarse-grained description of the dynamics of a weakly-bending semiflexible polymer was developed. Here, we discuss analytical solutions of the established deterministic partial integro-differential equation for the spatio-temporal relaxation of the backbone tension. For prototypal experimental situations, such as the sudden application or release of a strong external pulling force, it is demonstrated that the tensile dynamics reflects the self-affine conformational fluctuation spectrum in a variety of intermediate asymptotic power laws. Detailed and explicit analytical predictions for the tension propagation and relaxation and corresponding results for common observables, such as the end-to-end distance, are obtained.
22 pages, 7 figures
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- Stretching dynamics of semiflexible polymers
- A freely relaxing polymer remembers how it was straightened
- Longitudinal Response of Confined Semiflexible Polymers
- Exact solution for the force-extension relation of a semiflexible polymer under compression
- Tube width fluctuations of entangled stiff polymers
- Coupling of transverse and longitudinal response in stiff polymers
- Geometry-induced patterns through mechanochemical coupling
- Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer Chain
- Dynamics of undulatory fluctuations of semiflexible filaments in a network
- The equilibrium fluctuations of a semiflexible filament cross linked into a network
- Thermalized buckling of extensible, semiflexible polymers