Gelation as a percolation problem with finite diffusion
β Scribed by Rosche, Matthias ;Schulz, Michael
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1993
- Weight
- 389 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1018-5054
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The formation of polymer networks (gelation process) was studied by a numerical simulation of a lattice spin model with 3 states, which allows the representation of simple diffusion and aggregation processes. Near the percolation threshold, p~c~, the same critical exponents were detected as in the usual diffusionβfree classical percolation theory. Only nonβuniversal values (for example p~c~) show a significant dependence on the ratio between diffusion and reaction constants.
π SIMILAR VOLUMES
A software is described which solves a diffusionreaction problem with N diffusing elements which can react to form M non-diffusing compounds. The numerical solution of such a problem is complicated by the fact that different systems of partial differential equations hold in regions in which differen
Stabilized FEM of streamline-diffusion type for advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant of such stabilized schemes is considered as an additional consistent (but nonlinear) stabilization. We prove existence of disc