منابع مشابه
Equilibrium cluster formation and gelation
We study the formation and growth of equilibrium clusters in a suspension of weakly-charged colloidal particles and small non-adsorbing polymers. The effective potential is characterised by a short-range attraction and a long-range repulsion. The size, shape and local structure of the clusters are studied using three-dimensional particle microscopy. We observe a rapid growth in the mean cluster...
متن کاملGelation and Cluster Growth with Cluster-Wall Interactions
where A > 0 and where ck denotes the concentration of the k th cluster and p denotes the concentration of reactive sites available within the polymer matrix for reaction with metallic atoms. The initial conditions are required to be nonnegative and satisfy XJL \ j i ' j ( 0 ) = 1 and p(0) = p0. We assume that Rjk = [dj"k" + (j + k)(j" + k")]/((l + j + k) for 0 < a < l , which encompasses both b...
متن کاملNormal stresses at the gelation transition.
A simple Rouse-type model, generalized to incorporate the effects of chemical cross-links, is used to obtain a theoretical prediction for the critical behavior of the normal-stress coefficients Psi(1) and Psi(2) in polymeric liquids when approaching the gelation transition from the sol side. While the exact calculation shows Psi(2) identical with 0, a typical result for these types of models, a...
متن کاملSolutions of diffusion equation for point defects
An analytical solution of the equation describing diffusion of intrinsic point defects in semiconductor crystals has been obtained for a one-dimensional finite-length domain with the Robin-type boundary conditions. The distributions of point defects for different migration lengths of defects have been calculated. The exact analytical solution was used to verify the approximate numerical solutio...
متن کاملDiffusion of gelation clusters in the Zimm model.
Starting from a Zimm model, we study self-diffusion in a solution of crosslinked monomers. We focus on the effects of the hydrodynamic interaction on the dynamics and the critical behaviour at the sol-gel point. Hydrodynamic interactions cause the clusters' diffusion constant to depend not only on the cluster's size but also on the cluster's shape --in contrast to the Rouse model. This gives ri...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.66.031502