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Hallatschek, Oskar; Frey, Erwin; Kroy, Klaus (March 2007): Tension dynamics in semiflexible polymers. II. Scaling solutions and applications. In: Physical Review E, Vol. 75, No. 3: 031906-1-031906-20




In part I O. Hallatschek , preceding paper, Phys. Rev. E 75, 031905 (2007)] 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 spatiotemporal 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.