Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion
Soft Condensed Matter
2007-12-04 v1
Abstract
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).
Keywords
Cite
@article{arxiv.cond-mat/0609647,
title = {Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion},
author = {Oskar Hallatschek and Erwin Frey and Klaus Kroy},
journal= {arXiv preprint arXiv:cond-mat/0609647},
year = {2007}
}
Comments
14 pages, 4 figyres. The second part of this article has the preprint no.: cond-mat/0609638