Transport properties of incipient gels

dc.creatorJespersen, Sune Norhoj
dc.creatorPlischke, Michael
dc.date2003-06-18
dc.date.accessioned2026-07-07T02:51:54Z
dc.date.available2026-07-07T02:51:54Z
dc.descriptionWe 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 crosslink density $p$ is increased, undergoes a continuous transition from a fluid to a gel. The shear viscosity diverges at the gel point according to $η(p)\sim (p_c-p)^{-s}$ with $s\approx 0.65$. The diffusion constant shows a remarkable dependence on the mass of the clusters: $D(m,p)\sim m^{-0.69}$, not only at $p_c$ but well into the liquid phase. We also find that the Stokes-Einstein relation $Dη\propto k_BT$ breaks down already quite far from the gel point.
dc.description15 pages, 10 figures. Submitted to PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0306464
dc.identifierhttp://arxiv.org/abs/cond-mat/0306464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21641
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleTransport properties of incipient gels
dc.typetext

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