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Transport properties of incipient gels

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We investigate the behavior of the shear viscosity η(p) and the mass-dependent diffusion coefficient D(m,p) in the context of a simple model that, as the cross link density p is increased, undergoes a continuous transition from a fluid to a gel. The shear viscosity diverges at the gel point according to η(p)∼(pc-p)-s with s≈0.65. The diffusion constant shows a remarkable dependence on the mass of the clusters: D(m,p)∼m-0.69, not only at pc but well into the liquid phase. We also find that the Stokes-Einstein relation Dη∝kBT breaks down already quite far from the gel point.
Original languageEnglish
JournalPhysical Review E
Volume68
Issue2
Number of pages6
Publication statusPublished - 2003
Externally publishedYes

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