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 ω1/2. 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.
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