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Shear viscosity of a crosslinked polymer melt | | Kurt Broderix
; Henning Loewe
; Peter Mueller
; Annette Zippelius
; | | Date: |
27 Nov 1998 | | Journal: | Europhys. Lett., 48 (4), pp. 421-427 (1999) | | Subject: | Statistical Mechanics; Soft Condensed Matter; Chemical Physics | cond-mat.stat-mech cond-mat.soft physics.chem-ph | | Abstract: | We investigate the static shear viscosity on the sol side of the vulcanization transition within a minimal mesoscopic model for the Rouse-dynamics of a randomly crosslinked melt of phantom polymers. We derive an exact relation between the viscosity and the resistances measured in a corresponding random resistor network. This enables us to calculate the viscosity exactly for an ensemble of crosslinks without correlations. The viscosity diverges logarithmically as the critical point is approached. For a more realistic ensemble of crosslinks amenable to the scaling description of percolation, we prove the scaling relation $k=phi-eta$ between the critical exponent $k$ of the viscosity, the thermal exponent $eta$ associated with the gel fraction and the crossover exponent $phi$ of a random resistor network. | | Source: | arXiv, cond-mat/9811388 | | Services: | Forum | Review | PDF | Favorites | |
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