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Variational bounds for the shear viscosity of gelling melts | | Claas H. Köhler
; Henning Löwe
; Peter Müller
; Annette Zippelius
; | | Date: |
26 Feb 2007 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks; Soft
Condensed Matter | | Abstract: | We study shear stress relaxation for a gelling melt of randomly crosslinked, interacting monomers. We derive a lower bound for the static shear viscosity $eta$, which implies that it diverges algebraically with a critical exponent $kge 2
u-eta$. In particular the divergence is stronger than in the Rouse model, proving the relevance of excluded-volume interactions for the dynamic critical behaviour at the gel transition. Precisely at the critical point, our exact results imply a Mark-Houwink relation for the shear viscosity of isolated clusters of fixed size. | | Source: | arXiv, cond-mat/0702590 | | Services: | Forum | Review | PDF | Favorites | |
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