2006/09/25 by Oskar Hallatschek, Erwin Frey, Klaus Kroy · 5 citations
Chemical Engineering · Materials Science · Physics and Astronomy · #Force Microscopy Techniques and Applications #Material Dynamics and Properties #Rheology and Fluid Dynamics Studies #cond-mat.soft
paper · pdf · doi:10.1103/physreve.75.031905
published as Physical Review E 75, 031905 (2007) · 14 pages, 4 figyres. The second part of this article has the preprint no.: cond-mat/0609638
arxiv created 2006/09/25 · openalex publication_date 2007/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 nonlinear response of a weakly bending polymer are derived in an accompanying paper [O. Hallatschek, following paper, Phys. Rev. E 75, 031906 (2007)].