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arXiv · cond-mat/9605181

Force-Extension Relation and Plateau Modulus for Wormlike Chains

Klaus Kroy·Erwin Frey
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Abstract

We derive the linear force-extension relation for a wormlike chain of arbitrary stiffness including entropy elasticity, bending and thermodynamic buckling. From this we infer the plateau modulus $G^0$ of an isotropic entangled solution of wormlike chains. The entanglement length $L_e$ is expressed in terms of the characteristic network parameters for three different scaling regimes in the entangled phase. The entanglement transition and the concentration dependence of $G^0$ are analyzed. Finally we compare our findings with experimental data.

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Klaus Kroy, Erwin Frey. 1996-05-29. Force-Extension Relation and Plateau Modulus for Wormlike Chains. https://doi.org/10.1103/physrevlett.77.306

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