Viscoelastic Behavior of a Single Semiflexible Polymer Chain

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  • Hiraiwa Tetsuya
    Department of Physics, Graduate School of Science, Kyoto University
  • Ohta Takao
    Department of Physics, Graduate School of Science, Kyoto University

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  • Viscoelastic behavior of a single chain

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The dynamical response of a semiflexible polymer chain is studied based on the theory developed by Hallatschek et al. for the worm-like chain model. The linear viscoelastic response under oscillatory force acting the two chain ends is derived analytically. We shall show that the complex compliance in the low frequency limit ω→0 is consistent with the static result of Marko and Siggia whereas it exhibits a fractional power dependence as ω−7⁄8 for high frequency limit ω→∞. A scaling argument is applied to understand this novel result.

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