A model for gelation with explicit solvent effects: Structure and dynamics

Details A model for gelation with explicit solvent effects: Structure and dynamics A model for gelation with explicit solvent effects: Structure and dynamics

2002-07-11

arxiv.org/abs/cond-mat/0207304v1

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 9 figures

Scientific paper

10.1103/PhysRevE.67.011401

We study a two-component model for gelation consisting of $f$-functional monomers (the gel) and inert particles (the solvent). After equilibration as a simple liquid, the gel particles are gradually crosslinked to each other until the desired number of crosslinks has been attained. At a critical crosslink density the largest gel cluster percolates and an amorphous solid forms. This percolation process is different from ordinary lattice or continuum percolation of a single species in the sense that the critical exponents are new. As the crosslink density $p$ approaches its critical value $p_c$, the shear viscosity diverges: $\eta(p)\sim (p_c-p)^{-s}$ with $s$ a nonuniversal concentration-dependent exponent.

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