Normal stresses at the gelation transition

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dc.creatorBroderix, Kurt
dc.creatorMüller, Peter
dc.creatorZippelius, Annette
dc.date2001-07-20
dc.date2001-11-08
dc.date.accessioned2026-07-07T02:42:14Z
dc.date.available2026-07-07T02:42:14Z
dc.descriptionA simple Rouse-type model, generalised to incorporate the effects of chemical crosslinks, is used to obtain a theoretical prediction for the critical behaviour of the normal-stress coefficients $Ψ_{1}$ and $Ψ_{2}$ at the gelation transition. While the exact calculation shows $Ψ_{2}\equiv 0$, a typical result for these types of models, an additional scaling ansatz is used to demonstrate that $Ψ_{1}$ diverges with a critical exponent $\ell = k+z$. Here, $k$ denotes the critical exponent of the shear viscosity and $z$ the exponent governing the divergence of the time scale in the Kohlrausch decay of the shear-stress relaxation function. For crosslinks distributed according to mean-field percolation, this scaling relation yields $\ell =3$, in a accordance with an exact expression for the first normal-stress coefficient based on a replica calculation. Alternatively, using three-dimensional percolation for the crosslink ensemble we find the value $\ell \approx 4.9$. Results on time-dependent normal-stress response are also presented.
dc.descriptionRevTeX4, 6 pages, 2 figures; changes: explanatory comments expanded
dc.identifierhttps://arxiv.org/abs/cond-mat/0107433
dc.identifierhttp://arxiv.org/abs/cond-mat/0107433
dc.identifierPhys. Rev. E, vol. 65, 041505 (2002)
dc.identifierdoi:10.1103/PhysRevE.65.041505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18057
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectChemical Physics
dc.titleNormal stresses at the gelation transition
dc.typetext

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