Rheology of gelling polymers in the Zimm model

Details Rheology of gelling polymers in the Zimm model Rheology of gelling polymers in the Zimm model

2004-08-09

arxiv.org/abs/cond-mat/0408182v1

J. Chem. Phys. 122, 014905-1--8 (2005)

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 2 figures

Scientific paper

10.1063/1.1813433

In order to study rheological properties of gelling systems in dilute solution, we investigate the viscosity and the normal stresses in the Zimm model for randomly crosslinked monomers. The distribution of cluster topologies and sizes is assumed to be given either by Erd\H os-R\'enyi random graphs or three-dimensional bond percolation. Within this model the critical behaviour of the viscosity and of the first normal stress coefficient is determined by the power-law scaling of their averages over clusters of a given size $n$ with $n$. We investigate these Mark--Houwink like scaling relations numerically and conclude that the scaling exponents are independent of the hydrodynamic interaction strength. The numerically determined exponents agree well with experimental data for branched polymers. However, we show that this traditional model of polymer physics is not able to yield a critical divergence at the gel point of the viscosity for a polydisperse dilute solution of gelation clusters. A generally accepted scaling relation for the Zimm exponent of the viscosity is thereby disproved.

Affiliated with

Also associated with

No associations

Rating

Rheology of gelling polymers in the Zimm model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rheology of gelling polymers in the Zimm model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rheology of gelling polymers in the Zimm model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358465