## Abstract

The viscoelastic behavior of entangled solutions of semiflexible chains is discussed. After identifying the different possible regimes of concentration and chain length in such a solution attention is focused on a "tightly-entangled" regime in which the polymer is confined to a tube of diameter less than its persistence length. A tube model analogous to the Doi-Edwards model is introduced to describe this regime. A general expression for the stress tensor of a solution of wormlike chains is derived, which may be applied to any concentration regime, and three intramolecular stress contributions are identified: a curvature contribution arising from forces that oppose transverse deformation or rotation of chain segments, a tension contribution arising from tangential forces that resist stretching or compression of the chain, and an orientational contribution that reduces in the appropriate limit to the Brownian stress of a rigid-rod solution. Intermolecular stress contributions are also calculated. A qualitative discussion is given of the high-frequency viscoelastic response of any solution of wormlike chains, which is dominated by the tension contribution and exhibits a characteristic power law dependence on frequency.

Original language | English (US) |
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Pages (from-to) | 7030-7043 |

Number of pages | 14 |

Journal | Macromolecules |

Volume | 31 |

Issue number | 20 |

DOIs | |

State | Published - Oct 6 1998 |