Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion

Details Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion

2006-09-25

arxiv.org/abs/cond-mat/0609647v1

Physical Review E 75, 031905 (2007)

Physics

Condensed Matter

Soft Condensed Matter

14 pages, 4 figyres. The second part of this article has the preprint no.: cond-mat/0609638

Scientific paper

10.1103/PhysRevE.75.031905

Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed. By means of a multiple scale perturbation analysis, a length-scale separation inherent to the weakly-bending limit is exploited to reveal the deterministic nature of the spatio-temporal relaxation of the backbone tension and to deduce the corresponding coarse-grained equation of motion. From this partial integro-differential equation, some detailed analytical predictions for the non-linear response of a weakly bending polymer are derived in an accompanying paper (Part II, cond-mat/0609638).

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