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Viscoelasticity of a Single Semiflexible Polymer Chain

2009/03/12 by T. Hiraiwa, Tetsuya Hiraiwa, T. Ohta +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Force Microscopy Techniques and Applications #Lipid Membrane Structure and Behavior #Protein Structure and Dynamics #cond-mat.soft

paper · pdf · doi:10.1021/ma901098c

published as Macromolecules, 42, (2009), 7553-7562. · 23 pages, 6 figures

arxiv created 2009/03/12 · openalex publication_date 2009/08/31 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/06/16

Abstract

We study the dynamic properties of a single semiflexible polymer chain based on the theory for the wormlike-chain model developed by Hallatschek et al. The linear viscoelastic response is investigated under oscillatory forces acting at the two chain ends. The complex compliance and complex modulus are obtained analytically as a function of the oscillation frequency ω. The real part of the complex compliance in the low frequency limit ω → 0 is consistent with the static result of Marko and Siggia whereas the imaginary part in the low frequency regime exhibits the power-law dependence ω 1/2 . On the other hand, these compliances decrease as ω −7/8 in the high frequency limit ω → ∞. This is consistent with the theoretical result obtained by Everaers et al. in a slightly different condition. A scaling argument is developed to get understanding of these novel results.

Citations