Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer Chain

Details Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer Chain Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer Chain

2009-03-12

arxiv.org/abs/0903.2095v1

Macromolecules, 42, (2009), 7553-7562.

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 6 figures

Scientific paper

10.1021/ma901098c

We study the dynamical response of a single semiflexible polymer chain based on the theory developed by Hallatschek et al. for the wormlike-chain model. The linear viscoelastic response under oscillatory forces acting at the two chain ends is derived analytically as a function of the oscillation frequency . We shall show that the real part of the complex compliance in the low frequency limit is consistent with the static result of Marko and Siggia whereas the imaginary part exhibits the power-law dependence +1/2. On the other hand, these compliances decrease as the power law -7/8 for the high frequency limit. These are different from those of the Rouse dynamics. A scaling argument is developed to understand these novel results.

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