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

Oskar Hallatschek·Erwin Frey·Klaus Kroy
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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).

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Oskar Hallatschek, Erwin Frey, Klaus Kroy. 2006-09-25. Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion. https://doi.org/10.1103/physreve.75.031905

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