Random sequential adsorption with diffusional relaxation in two dimensions
Soreq NRC - Yavne 81800, Israel
2 Department of Physics, Bar-Ilan University - Ramat-Gan 52900, Israel
Accepted: 3 September 1998
The time dependence of the RSAD filling process on the 2D square lattice is investigated for two exclusion models. It is shown that the long-time filling is via a one-dimension–like process, and consequently the asymptotic behavior of the density is as in the 1D case. In both models considered the limiting density is that of closest packing, in the thermodynamic limit. However, in the next-nearest-neighbours exclusion model the limiting configuration is a polycrystalline one.
PACS: 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 64.70.Pf – Glass transitions
© EDP Sciences, 1998